The HCF of 1001 and 910 is 91. HCF of 1001 and 910 is the greatest integer that can divide both numbers evenly, and that number is 91. HCF stands for Highest Common Factor, and it is also known as GCF, Greatest Common Factor or GCD, Greatest Common Divisor. For a given set of numbers, there would be multiple common factors, and the highest among the common factors is known as the HCF. For 1001 and 910, the common factors are 1, 7, 13 and 91. Since 91 is greater than 1, 7 and 13, HCF for 1001 and 910 is 91. You can refer to HCF and LCM to understand better.
What is the HCF of 1001 and 910?
The Highest Common Factor, also known as the Greatest Common Factor, of 1001 and 910 is 91.
How to Find HCF of 1001 and 910?
There are three methods to find the HCF of 1001 and 910:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 1001 and 910 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 1001 and 910 can be expressed as:
1001 = 7 x 11 x 13
910 = 2 × 5 × 7 × 13
Common prime factors are 7 and 13.
Therefore, HCF (1001, 910) = 7 x 13 = 91.
HCF of 1001 and 910 by Long Division Method
In the long division method, the below steps are followed.
- From the given set of numbers, the smallest number becomes the divisor, and the larger number becomes the dividend.
- In the next step, the smaller number becomes the dividend, and the remainder becomes the divisor.
- The above step is followed until the remainder is zero.
- The last divisor would be the HCF.
The HCF of 1001 and 910 by long division method is:
Therefore, HCF (1001, 910) = 91
HCF of 1001 and 910 by Listing Common Factors
By listing all the factors of given numbers, we can identify the Highest/Greatest/Biggest common factor, which is the HCF. Below is the list of factors for 1001 and 910:
Factors of 1001: 1, 7, 11,13, 77, 91, 143 and 1001.
Factors of 910: 1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910.
Therefore, HCF (1001, 910) = 91
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Video Lesson on Properties of HCF and LCM
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Solved Examples
1. Find the second greatest number that divides 1001 and 910 evenly.
The second greatest number that divides both 1001 and 910 evenly is nothing but the second greatest common factor, which is 13.
2. What is the GCF of 910 and 91?
The GCF of 910 and 91 is 91.
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