The HCF of 196 and 38220 is 196. HCF stands for Highest Common Factor, and as the name suggests, the number that is highest among the common factors is known as HCF. It can also be referred to as GCD, Greatest Common Divisor or GCF, Greatest Common Factor. For the given set of numbers 196 and 38220, 196 is the HCF/GCD/GCF. Even though there are other common factors, like 1, 2, 4, 7, 14, 28, 49, and 98, among these 196 is greater than the other common factors. You can refer to the Highest Common Factor for more details.
What is the HCF of 196 and 38220?
The Highest Common Factor, also known as the Greatest Common Factor, of 196 and 38220 is 196.
How to Find HCF of 196 and 38220?
There are three methods to find the HCF of 196 and 38220:
- Prime Factorisation
- Long Division method
- Listing common factors
HCF of 196 and 38220 by Prime Factorisation Method
In the prime factorisation method, the numbers can be expressed as the product of prime numbers. Here, 196 and 38220 can be expressed as;
196 = 2 × 2 × 7 × 7
38220 = 2 × 2 × 3 × 5 × 7 × 7 × 13
Common prime factors are 2 × 2 × 7 × 7. Therefore HCF will be,
HCF (196, 38220) = 2 × 2 × 7 × 7 = 196.
HCF of 196 and 38220 by Long Division Method
In the Long division method, the following steps are used.
- 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.
For 196 and 38220, the HCF by long division method is;
HCF (196, 38220) = 196
HCF of 196 and 38220 by Listing the 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 196 and 38220
Factors of 196:
1, 2, 4, 7, 14, 28, 49, 98, and 196.
Factors of 38220:
1, 2, 3, 4, 5, 6, 7, 10, 12, 13, 14, 15, 20, 21, 26, 28, 30, 35, 39, 42, 49, 52, 60, 65, 70, 78, 84, 91, 98, 105, 130, 140, 147, 156, 182, 195, 196, 210, 245, 260, 273, 294, 364, 390, 420, 455, 490, 546, 588, 637, 735, 780, 910, 980, 1092, 1274, 1365, 1470, 1820, 1911, 2548, 2730, 2940, 3185, 3822,5460, 6370, 7644, 9555, 12740, 19110, 38220
HCF (196, 38220) = 196
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Video Lesson on Properties of HCF and LCM
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Solved Examples
1. Find the greatest number that divides 196 and 1960 evenly?
The greatest number that divides 196 and 1960 equally is nothing but the GCF, which is 196 for 196 and 1960.
2. What is the GCF of 3822 and 38220?
GCF of 3822 and 38220 is 3822.
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