How to Find GCF of 9931/981, 2057/9635?

GCF of 9931/981, 2057/9635

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 9931/981, 2057/9635 i.e 1/9451935 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9931/981, 2057/9635.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 9931/981,2057/9635?

Given fractions are 9931/981,2057/9635

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 9931/981,2057/9635, numerators are 9931,2057

Denominators are 981,9635

The GCF of 9931,2057 is 1 .

LCM of 981,9635 is 9451935.

The greatest common factor of 9931/981,2057/9635 = [GCF of 9931,2057]/[LCM of 981,9635]= 1/9451935

Therefore, the GCF of 9931/981,2057/9635 is 1/9451935.

Greatest Common Factor of 9931,2057

To find the highest common factor of 9931,2057, we have to find the factors of both numbers and list the highest common factor.

The factors of 9931 are 1, 9931

The factors of 2057 are 1, 11, 17, 121, 187, 2057

The HCF of 9931,2057 is 1.

Lets's calculate GCF of 9931,2057

Greatest Common Factor (GCF) of 9931,2057 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 9931,2057 By Matching Biggest Common Factor Method

Now, list down the factors of 9931

1,9931

Now, list down the factors of 2057

1,11,17,121,187,2057

Greatest Common Factor

We found the factors 9931,2057 . The biggest common factor number is the GCF number.
So the greatest common factor 9931,2057 is 1.

Lets's calculate LCM of 981,9635

Lowest Common Multiple of 981,9635 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 9451935

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9451935

Therefore, the GCF of Fractions 9931/981,2057/9635 is 1/9451935

Least Common Multiple of 981,9635 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 981,9635 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(981,9635) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(981,9635) x common factors =1 x 1 = 1

LCM(981,9635) = ( 981 × 9635 ) / 1

LCM(981,9635) = 9451935 / 1

LCM(981,9635) = 9451935

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FAQs on GCF of Fractions of 9931/981, 2057/9635

1. What is the HCF of 9931,2057?

The HCF of 9931,2057 is 1

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

4. What is the GCF of Fractions for 9931/981, 2057/9635?

Answer: GCF of Numerators as per given numbers 9931/981, 2057/9635 is

GCF of Numerators i.e. for 9931,2057 is 1

LCM of denominators i.e. for 981,9635 is 9451935.

Thus, GCF of Fractions is 1/9451935.Finally, GCF of Fractions for 9931/981, 2057/9635 is 1/9451935.