How to Find GCF of 9257/131, 9436/626?

GCF of 9257/131, 9436/626

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 9257/131, 9436/626 i.e 1/82006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9257/131, 9436/626.

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 9257/131,9436/626?

Given fractions are 9257/131,9436/626

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 9257/131,9436/626, numerators are 9257,9436

Denominators are 131,626

The GCF of 9257,9436 is 1 .

LCM of 131,626 is 82006.

The greatest common factor of 9257/131,9436/626 = [GCF of 9257,9436]/[LCM of 131,626]= 1/82006

Therefore, the GCF of 9257/131,9436/626 is 1/82006.

Greatest Common Factor of 9257,9436

To find the highest common factor of 9257,9436, we have to find the factors of both numbers and list the highest common factor.

The factors of 9257 are 1, 9257

The factors of 9436 are 1, 2, 4, 7, 14, 28, 337, 674, 1348, 2359, 4718, 9436

The HCF of 9257,9436 is 1.

Lets's calculate GCF of 9257,9436

Greatest Common Factor (GCF) of 9257,9436 By Common Division

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

Greatest Common Factor of 9257,9436 By Matching Biggest Common Factor Method

Now, list down the factors of 9257

1,9257

Now, list down the factors of 9436

1,2,4,7,14,28,337,674,1348,2359,4718,9436

Greatest Common Factor

We found the factors 9257,9436 . The biggest common factor number is the GCF number.
So the greatest common factor 9257,9436 is 1.

Lets's calculate LCM of 131,626

Lowest Common Multiple of 131,626 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 82006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/82006

Therefore, the GCF of Fractions 9257/131,9436/626 is 1/82006

Least Common Multiple of 131,626 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 131,626 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(131,626) = 1

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

GCF(131,626) x common factors =1 x 1 = 1

LCM(131,626) = ( 131 × 626 ) / 1

LCM(131,626) = 82006 / 1

LCM(131,626) = 82006

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FAQs on GCF of Fractions of 9257/131, 9436/626

1. What is the HCF of 9257,9436?

The HCF of 9257,9436 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 9257/131, 9436/626?

Answer: GCF of Numerators as per given numbers 9257/131, 9436/626 is

GCF of Numerators i.e. for 9257,9436 is 1

LCM of denominators i.e. for 131,626 is 82006.

Thus, GCF of Fractions is 1/82006.Finally, GCF of Fractions for 9257/131, 9436/626 is 1/82006.