How to Find GCF of 7906/869, 5965/9161?

GCF of 7906/869, 5965/9161

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 7906/869, 5965/9161 i.e 1/7960909 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7906/869, 5965/9161.

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 7906/869,5965/9161?

Given fractions are 7906/869,5965/9161

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 7906/869,5965/9161, numerators are 7906,5965

Denominators are 869,9161

The GCF of 7906,5965 is 1 .

LCM of 869,9161 is 7960909.

The greatest common factor of 7906/869,5965/9161 = [GCF of 7906,5965]/[LCM of 869,9161]= 1/7960909

Therefore, the GCF of 7906/869,5965/9161 is 1/7960909.

Greatest Common Factor of 7906,5965

To find the highest common factor of 7906,5965, we have to find the factors of both numbers and list the highest common factor.

The factors of 7906 are 1, 2, 59, 67, 118, 134, 3953, 7906

The factors of 5965 are 1, 5, 1193, 5965

The HCF of 7906,5965 is 1.

Lets's calculate GCF of 7906,5965

Greatest Common Factor (GCF) of 7906,5965 By Common Division

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

Greatest Common Factor of 7906,5965 By Matching Biggest Common Factor Method

Now, list down the factors of 7906

1,2,59,67,118,134,3953,7906

Now, list down the factors of 5965

1,5,1193,5965

Greatest Common Factor

We found the factors 7906,5965 . The biggest common factor number is the GCF number.
So the greatest common factor 7906,5965 is 1.

Lets's calculate LCM of 869,9161

Lowest Common Multiple of 869,9161 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7960909

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7960909

Therefore, the GCF of Fractions 7906/869,5965/9161 is 1/7960909

Least Common Multiple of 869,9161 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 869,9161 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(869,9161) = 1

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

GCF(869,9161) x common factors =1 x 1 = 1

LCM(869,9161) = ( 869 × 9161 ) / 1

LCM(869,9161) = 7960909 / 1

LCM(869,9161) = 7960909

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FAQs on GCF of Fractions of 7906/869, 5965/9161

1. What is the HCF of 7906,5965?

The HCF of 7906,5965 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 7906/869, 5965/9161?

Answer: GCF of Numerators as per given numbers 7906/869, 5965/9161 is

GCF of Numerators i.e. for 7906,5965 is 1

LCM of denominators i.e. for 869,9161 is 7960909.

Thus, GCF of Fractions is 1/7960909.Finally, GCF of Fractions for 7906/869, 5965/9161 is 1/7960909.