Greatest Common Factor of 7882/297, 9695/265

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7882/297, 9695/265

Enter two or more fractions separated by "commas"

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

GCF of:

Greatest Common Factor of 7882/297,9695/265

Given fractions are 7882/297,9695/265

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 7882,9695

Greatest Common Factor of Numerators i.e. GCF of 7882,9695 is 7 .

LCM of Denominators means LCM of 297,265 as per the given fractions.

LCM of 297,265 is 78705 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7882,9695

GCF of Fractions 7882/297,9695/265 is 7/78705

7 7882, 9695
1126, 1385

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 7882,9695 By Matching Biggest Common Factor Method

Greatest Common Factor of 7882,9695 By Matching Biggest Common Factor Method

Factors of 7882

List of positive integer factors of 7882 that divides 7882 without a remainder.

1,2,7,14,563,1126,3941,7882

Factors of 9695

List of positive integer factors of 9695 that divides 9695 without a remainder.

1,5,7,35,277,1385,1939,9695

Greatest Common Factor

We found the factors 7882,9695 . The biggest common factor number is the GCF number.
So the greatest common factor 7882,9695 is 7.

Lets's calculate LCM of 297,265

Given numbers has no common factors except 1. So, there LCM is their product i.e 78705

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/78705

Therefore, the GCF of Fractions 7882/297,9695/265 is 7/78705

Least Common Multiple of 297,265 with GCF Formula

Least Common Multiple of 297,265 with GCF Formula

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

We need to calculate greatest common factor of 297,265 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(297,265) = 1

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

GCF(297,265) x common factors =1 x 1 = 1

LCM(297,265) = ( 297 × 265 ) / 1

LCM(297,265) = 78705 / 1

LCM(297,265) = 78705


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 7882/297, 9695/265

1. 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.

2. What is the GCF of Fractions for 7882/297, 9695/265?

Answer: GCF of Numerators as per given numbers 7882/297, 9695/265 is

GCF of Numerators i.e. for 7882,9695 is 7

LCM of denominators i.e. for 297,265 is 78705.

Thus, GCF of Fractions is 7/78705.Finally, GCF of Fractions for 7882/297, 9695/265 is 7/78705.