Greatest Common Factor of 761/28, 974/76, 208/178

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 761/28, 974/76, 208/178

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 761/28,974/76,208/178

Given fractions are 761/28,974/76,208/178

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 761,974,208

Greatest Common Factor of Numerators i.e. GCF of 761,974,208 is 1 .

LCM of Denominators means LCM of 28,76,178 as per the given fractions.

LCM of 28,76,178 is 47348 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 761,974,208

GCF of Fractions 761/28,974/76,208/178 is 1/47348

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

Greatest Common Factor of 761,974,208 By Matching Biggest Common Factor Method

Greatest Common Factor of 761,974,208 By Matching Biggest Common Factor Method

Factors of 761

List of positive integer factors of 761 that divides 761 without a remainder.

1,761

Factors of 974

List of positive integer factors of 974 that divides 974 without a remainder.

1,2,487,974

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Greatest Common Factor

We found the factors 761,974,208 . The biggest common factor number is the GCF number.
So the greatest common factor 761,974,208 is 1.

Lets's calculate LCM of 28,76,178

2 28, 76, 178
2 14, 38, 89
7, 19, 89

∴ So the LCM of the given numbers is 2 x 2 x 7 x 19 x 89 = 47348

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/47348

Therefore, the GCF of Fractions 761/28,974/76,208/178 is 1/47348

Least Common Multiple of 28,76,178 with GCF Formula

Least Common Multiple of 28,76,178 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 28,76,178 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(28,76,178) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(28,76,178) x common factors =2 x 4 = 8

LCM(28,76,178) = ( 28 × 76 × 178 ) / 8

LCM(28,76,178) = 378784 / 8

LCM(28,76,178) = 47348


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 761/28, 974/76, 208/178

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 761/28, 974/76, 208/178?

Answer: GCF of Numerators as per given numbers 761/28, 974/76, 208/178 is

GCF of Numerators i.e. for 761,974,208 is 1

LCM of denominators i.e. for 28,76,178 is 47348.

Thus, GCF of Fractions is 1/47348.Finally, GCF of Fractions for 761/28, 974/76, 208/178 is 1/47348.