Greatest Common Factor of 81/370, 76/596, 134/674

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 81/370, 76/596, 134/674

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 81/370,76/596,134/674

Given fractions are 81/370,76/596,134/674

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 81,76,134

Greatest Common Factor of Numerators i.e. GCF of 81,76,134 is 1 .

LCM of Denominators means LCM of 370,596,674 as per the given fractions.

LCM of 370,596,674 is 37157620 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 81,76,134

GCF of Fractions 81/370,76/596,134/674 is 1/37157620

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

Greatest Common Factor of 81,76,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 81,76,134 By Matching Biggest Common Factor Method

Factors of 81

List of positive integer factors of 81 that divides 81 without a remainder.

1,3,9,27,81

Factors of 76

List of positive integer factors of 76 that divides 76 without a remainder.

1,2,4,19,38,76

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 81,76,134 . The biggest common factor number is the GCF number.
So the greatest common factor 81,76,134 is 1.

Lets's calculate LCM of 370,596,674

2 370, 596, 674
185, 298, 337

∴ So the LCM of the given numbers is 2 x 185 x 298 x 337 = 37157620

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/37157620

Therefore, the GCF of Fractions 81/370,76/596,134/674 is 1/37157620

Least Common Multiple of 370,596,674 with GCF Formula

Least Common Multiple of 370,596,674 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 370,596,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(370,596,674) = 2

common factors(in case of two or more numbers have common factors) = 2

GCF(370,596,674) x common factors =2 x 2 = 4

LCM(370,596,674) = ( 370 × 596 × 674 ) / 4

LCM(370,596,674) = 148630480 / 4

LCM(370,596,674) = 37157620


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 81/370, 76/596, 134/674

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 81/370, 76/596, 134/674?

Answer: GCF of Numerators as per given numbers 81/370, 76/596, 134/674 is

GCF of Numerators i.e. for 81,76,134 is 1

LCM of denominators i.e. for 370,596,674 is 37157620.

Thus, GCF of Fractions is 1/37157620.Finally, GCF of Fractions for 81/370, 76/596, 134/674 is 1/37157620.