The HCF of 1260 and 7344 is 36. The highest number that can divide two numbers exactly and without leaving any remainder is the HCF of 1260 and 7344. The factors of 1260 and 7344 are (1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260) and (1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344), respectively.
Also read: Highest common factor
What is the HCF of 1260 and 7344?
The answer to this question is 36. This article shows finding the HCF of 1260 and 7344 using various methods for your reference. The greatest of all their common factors is the Highest Common Factor (HCF) of two or more numbers.
How to Find HCF of 1260 and 7344?
There are three methods to find the HCF of 1260 and 7344:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 1260 and 7344 by Prime Factorisation Method
The prime factorisation of 1260 and 7344 is given by:
Prime factorisation of 1260 = (2 × 2 × 3 × 3 × 5 × 7)
Prime factorisation of 7344 = (2 × 2 × 2 × 2 × 3 × 3 × 3 × 17)
Hence, the HCF of 1260 and 7344 is 2 × 2 × 3 × 3 = 36.
HCF (1260, 7344) = 36
HCF of 1260 and 7344 by Long Division Method
The divisor that we receive when the remainder is 0 after doing long division repeatedly is the HCF of 1260 and 7344.
No further division can be done.
Hence, HCF (1260, 7344) = 36
HCF of 1260 and 7344 by Listing Common Factors
To calculate the HCF of 1260 and 7344 by listing common factors, list the factors as shown below:
Factors of 1260: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 14, 15, 18, 20, 21, 28, 30, 35, 36, 42, 45, 60, 63, 70, 84, 90, 105, 126, 140, 180, 210, 252, 315, 420, 630, 1260
Factors of 7344: 1, 2, 3, 4, 6, 8, 9, 12, 16, 17, 18, 24, 27, 34, 36, 48, 51, 54, 68, 72, 102, 108, 136, 144, 153, 204, 216, 272, 306, 408, 432, 459, 612, 816, 918, 1224, 1836, 2448, 3672, 7344
There are 9 common factors of 1260 and 7344, and they are 1, 2, 3, 4, 6, 9, 12, 18 and 36. Therefore, the Highest Common Factor of 1260 and 7344 is 36.
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Video Lesson on Properties of HCF and LCM
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HCF of 1260 and 7344 Solved Example
Question: Find the HCF of 1260 and 7344 if their LCM is 257040.
Solution:
Given,
LCM × HCF = 1260 × 7344
⇒ HCF (1260, 7344) = (1260 × 7344)/257040 = 36
Therefore, the Highest Common Factor of 1260 and 7344 is 3.
Frequently Asked Questions on HCF of 1260 and 7344
What is the HCF of 1260 and 7344?
If the HCF of 7344 and 1260 is 36, find its LCM.
The HCF of 7344 and 1260 = 36
⇒ 36 × LCM (7344, 1260) = 9253440
Therefore, LCM = 257040
What is the relation between LCM and HCF of 1260 and 7344?
How to find the HCF of 1260 and 7344 by prime factorisation?
Since 2, 2, 3, 3 are common factors in the prime factorisation of 1260 and 7344. Hence, HCF (1260, 7344) = 2 × 2 × 3 × 3 = 36
What are the methods to find HCF of 1260 and 7344?
Long Division
Listing Common Factors
Prime Factorisation
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