Greatest Common Factor of 764/94, 912/164

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 764/94, 912/164

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 764/94,912/164

Given fractions are 764/94,912/164

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 764,912

Greatest Common Factor of Numerators i.e. GCF of 764,912 is 4 .

LCM of Denominators means LCM of 94,164 as per the given fractions.

LCM of 94,164 is 7708 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 764,912

GCF of Fractions 764/94,912/164 is 4/7708

2 764, 912
2 382, 456
191, 228

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 764,912 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,912 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 912

List of positive integer factors of 912 that divides 912 without a remainder.

1,2,3,4,6,8,12,16,19,24,38,48,57,76,114,152,228,304,456,912

Greatest Common Factor

We found the factors 764,912 . The biggest common factor number is the GCF number.
So the greatest common factor 764,912 is 4.

Lets's calculate LCM of 94,164

2 94, 164
47, 82

∴ So the LCM of the given numbers is 2 x 47 x 82 = 7708

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/7708

Therefore, the GCF of Fractions 764/94,912/164 is 4/7708

Least Common Multiple of 94,164 with GCF Formula

Least Common Multiple of 94,164 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 94,164 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(94,164) = 2

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

GCF(94,164) x common factors =2 x 1 = 2

LCM(94,164) = ( 94 × 164 ) / 2

LCM(94,164) = 15416 / 2

LCM(94,164) = 7708


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 764/94, 912/164

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 764/94, 912/164?

Answer: GCF of Numerators as per given numbers 764/94, 912/164 is

GCF of Numerators i.e. for 764,912 is 4

LCM of denominators i.e. for 94,164 is 7708.

Thus, GCF of Fractions is 4/7708.Finally, GCF of Fractions for 764/94, 912/164 is 4/7708.