Greatest Common Factor of 80/947, 974/308

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 80/947, 974/308

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 80/947,974/308

Given fractions are 80/947,974/308

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 80,974

Greatest Common Factor of Numerators i.e. GCF of 80,974 is 2 .

LCM of Denominators means LCM of 947,308 as per the given fractions.

LCM of 947,308 is 291676 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 80,974

GCF of Fractions 80/947,974/308 is 2/291676

2 80, 974
40, 487

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

Greatest Common Factor of 80,974 By Matching Biggest Common Factor Method

Greatest Common Factor of 80,974 By Matching Biggest Common Factor Method

Factors of 80

List of positive integer factors of 80 that divides 80 without a remainder.

1,2,4,5,8,10,16,20,40,80

Factors of 974

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

1,2,487,974

Greatest Common Factor

We found the factors 80,974 . The biggest common factor number is the GCF number.
So the greatest common factor 80,974 is 2.

Lets's calculate LCM of 947,308

Given numbers has no common factors except 1. So, there LCM is their product i.e 291676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/291676

Therefore, the GCF of Fractions 80/947,974/308 is 2/291676

Least Common Multiple of 947,308 with GCF Formula

Least Common Multiple of 947,308 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 947,308 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,308) = 1

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

GCF(947,308) x common factors =1 x 1 = 1

LCM(947,308) = ( 947 × 308 ) / 1

LCM(947,308) = 291676 / 1

LCM(947,308) = 291676


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 80/947, 974/308

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 80/947, 974/308?

Answer: GCF of Numerators as per given numbers 80/947, 974/308 is

GCF of Numerators i.e. for 80,974 is 2

LCM of denominators i.e. for 947,308 is 291676.

Thus, GCF of Fractions is 2/291676.Finally, GCF of Fractions for 80/947, 974/308 is 2/291676.