Greatest Common Factor of 76/68, 670/49, 896/954

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 76/68, 670/49, 896/954

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 76/68,670/49,896/954

Given fractions are 76/68,670/49,896/954

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 76,670,896

Greatest Common Factor of Numerators i.e. GCF of 76,670,896 is 2 .

LCM of Denominators means LCM of 68,49,954 as per the given fractions.

LCM of 68,49,954 is 1589364 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 76,670,896

GCF of Fractions 76/68,670/49,896/954 is 2/1589364

2 76, 670, 896
38, 335, 448

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

Greatest Common Factor of 76,670,896 By Matching Biggest Common Factor Method

Greatest Common Factor of 76,670,896 By Matching Biggest Common Factor Method

Factors of 76

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

1,2,4,19,38,76

Factors of 670

List of positive integer factors of 670 that divides 670 without a remainder.

1,2,5,10,67,134,335,670

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Greatest Common Factor

We found the factors 76,670,896 . The biggest common factor number is the GCF number.
So the greatest common factor 76,670,896 is 2.

Lets's calculate LCM of 68,49,954

2 68, 49, 954
34, 49, 477

∴ So the LCM of the given numbers is 2 x 34 x 49 x 477 = 1589364

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1589364

Therefore, the GCF of Fractions 76/68,670/49,896/954 is 2/1589364

Least Common Multiple of 68,49,954 with GCF Formula

Least Common Multiple of 68,49,954 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 68,49,954 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,49,954) = 1

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

GCF(68,49,954) x common factors =1 x 2 = 2

LCM(68,49,954) = ( 68 × 49 × 954 ) / 2

LCM(68,49,954) = 3178728 / 2

LCM(68,49,954) = 1589364


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 76/68, 670/49, 896/954

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 76/68, 670/49, 896/954?

Answer: GCF of Numerators as per given numbers 76/68, 670/49, 896/954 is

GCF of Numerators i.e. for 76,670,896 is 2

LCM of denominators i.e. for 68,49,954 is 1589364.

Thus, GCF of Fractions is 2/1589364.Finally, GCF of Fractions for 76/68, 670/49, 896/954 is 2/1589364.