How to Find GCF of 9269/959, 7865/8932?

GCF of 9269/959, 7865/8932

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 9269/959, 7865/8932 i.e 13/1223684 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9269/959, 7865/8932.

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 9269/959,7865/8932?

Given fractions are 9269/959,7865/8932

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 9269/959,7865/8932, numerators are 9269,7865

Denominators are 959,8932

The GCF of 9269,7865 is 13 .

LCM of 959,8932 is 1223684.

The greatest common factor of 9269/959,7865/8932 = [GCF of 9269,7865]/[LCM of 959,8932]= 13/1223684

Therefore, the GCF of 9269/959,7865/8932 is 13/1223684.

Greatest Common Factor of 9269,7865

To find the highest common factor of 9269,7865, we have to find the factors of both numbers and list the highest common factor.

The factors of 9269 are 1, 13, 23, 31, 299, 403, 713, 9269

The factors of 7865 are 1, 5, 11, 13, 55, 65, 121, 143, 605, 715, 1573, 7865

The HCF of 9269,7865 is 13.

Lets's calculate GCF of 9269,7865

Greatest Common Factor (GCF) of 9269,7865 By Common Division

13	9269, 7865
	713, 605

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 9269,7865 By Matching Biggest Common Factor Method

Now, list down the factors of 9269

1,13,23,31,299,403,713,9269

Now, list down the factors of 7865

1,5,11,13,55,65,121,143,605,715,1573,7865

Greatest Common Factor

We found the factors 9269,7865 . The biggest common factor number is the GCF number.
So the greatest common factor 9269,7865 is 13.

Lets's calculate LCM of 959,8932

Lowest Common Multiple of 959,8932 using Common Division

7	959, 8932
	137, 1276

∴ So the LCM of the given numbers is 7 x 137 x 1276 = 1223684

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/1223684

Therefore, the GCF of Fractions 9269/959,7865/8932 is 13/1223684

Least Common Multiple of 959,8932 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 959,8932 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(959,8932) = 7

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

GCF(959,8932) x common factors =7 x 1 = 7

LCM(959,8932) = ( 959 × 8932 ) / 7

LCM(959,8932) = 8565788 / 7

LCM(959,8932) = 1223684

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FAQs on GCF of Fractions of 9269/959, 7865/8932

1. What is the HCF of 9269,7865?

The HCF of 9269,7865 is 13

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 9269/959, 7865/8932?

Answer: GCF of Numerators as per given numbers 9269/959, 7865/8932 is

GCF of Numerators i.e. for 9269,7865 is 13

LCM of denominators i.e. for 959,8932 is 1223684.

Thus, GCF of Fractions is 13/1223684.Finally, GCF of Fractions for 9269/959, 7865/8932 is 13/1223684.