Greatest Common Factor of 710/95, 7374/345

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/95, 7374/345

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 710/95,7374/345

Given fractions are 710/95,7374/345

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 710,7374

Greatest Common Factor of Numerators i.e. GCF of 710,7374 is 2 .

LCM of Denominators means LCM of 95,345 as per the given fractions.

LCM of 95,345 is 6555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,7374

GCF of Fractions 710/95,7374/345 is 2/6555

2 710, 7374
355, 3687

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 710,7374 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,7374 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 7374

List of positive integer factors of 7374 that divides 7374 without a remainder.

1,2,3,6,1229,2458,3687,7374

Greatest Common Factor

We found the factors 710,7374 . The biggest common factor number is the GCF number.
So the greatest common factor 710,7374 is 2.

Lets's calculate LCM of 95,345

5 95, 345
19, 69

∴ So the LCM of the given numbers is 5 x 19 x 69 = 6555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/6555

Therefore, the GCF of Fractions 710/95,7374/345 is 2/6555

Least Common Multiple of 95,345 with GCF Formula

Least Common Multiple of 95,345 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 95,345 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,345) = 5

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

GCF(95,345) x common factors =5 x 1 = 5

LCM(95,345) = ( 95 × 345 ) / 5

LCM(95,345) = 32775 / 5

LCM(95,345) = 6555


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 710/95, 7374/345

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 710/95, 7374/345?

Answer: GCF of Numerators as per given numbers 710/95, 7374/345 is

GCF of Numerators i.e. for 710,7374 is 2

LCM of denominators i.e. for 95,345 is 6555.

Thus, GCF of Fractions is 2/6555.Finally, GCF of Fractions for 710/95, 7374/345 is 2/6555.