Greatest Common Factor of 7705/710, 7855/262

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7705/710, 7855/262

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 7705/710,7855/262

Given fractions are 7705/710,7855/262

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 7705,7855

Greatest Common Factor of Numerators i.e. GCF of 7705,7855 is 5 .

LCM of Denominators means LCM of 710,262 as per the given fractions.

LCM of 710,262 is 93010 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7705,7855

GCF of Fractions 7705/710,7855/262 is 5/93010

5 7705, 7855
1541, 1571

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 7705,7855 By Matching Biggest Common Factor Method

Greatest Common Factor of 7705,7855 By Matching Biggest Common Factor Method

Factors of 7705

List of positive integer factors of 7705 that divides 7705 without a remainder.

1,5,23,67,115,335,1541,7705

Factors of 7855

List of positive integer factors of 7855 that divides 7855 without a remainder.

1,5,1571,7855

Greatest Common Factor

We found the factors 7705,7855 . The biggest common factor number is the GCF number.
So the greatest common factor 7705,7855 is 5.

Lets's calculate LCM of 710,262

2 710, 262
355, 131

∴ So the LCM of the given numbers is 2 x 355 x 131 = 93010

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/93010

Therefore, the GCF of Fractions 7705/710,7855/262 is 5/93010

Least Common Multiple of 710,262 with GCF Formula

Least Common Multiple of 710,262 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 710,262 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,262) = 2

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

GCF(710,262) x common factors =2 x 1 = 2

LCM(710,262) = ( 710 × 262 ) / 2

LCM(710,262) = 186020 / 2

LCM(710,262) = 93010


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 7705/710, 7855/262

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 7705/710, 7855/262?

Answer: GCF of Numerators as per given numbers 7705/710, 7855/262 is

GCF of Numerators i.e. for 7705,7855 is 5

LCM of denominators i.e. for 710,262 is 93010.

Thus, GCF of Fractions is 5/93010.Finally, GCF of Fractions for 7705/710, 7855/262 is 5/93010.