Greatest Common Factor of 756/947, 3374/548

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 756/947, 3374/548

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 756/947,3374/548

Given fractions are 756/947,3374/548

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 756,3374

Greatest Common Factor of Numerators i.e. GCF of 756,3374 is 14 .

LCM of Denominators means LCM of 947,548 as per the given fractions.

LCM of 947,548 is 518956 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 756,3374

GCF of Fractions 756/947,3374/548 is 14/518956

2 756, 3374
7 378, 1687
54, 241

∴ So the GCF of the given numbers is 2 x 7 = 14

Greatest Common Factor of 756,3374 By Matching Biggest Common Factor Method

Greatest Common Factor of 756,3374 By Matching Biggest Common Factor Method

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Factors of 3374

List of positive integer factors of 3374 that divides 3374 without a remainder.

1,2,7,14,241,482,1687,3374

Greatest Common Factor

We found the factors 756,3374 . The biggest common factor number is the GCF number.
So the greatest common factor 756,3374 is 14.

Lets's calculate LCM of 947,548

Given numbers has no common factors except 1. So, there LCM is their product i.e 518956

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 14/518956

Therefore, the GCF of Fractions 756/947,3374/548 is 14/518956

Least Common Multiple of 947,548 with GCF Formula

Least Common Multiple of 947,548 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 947,548 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(947,548) = 1

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

GCF(947,548) x common factors =1 x 1 = 1

LCM(947,548) = ( 947 × 548 ) / 1

LCM(947,548) = 518956 / 1

LCM(947,548) = 518956


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 756/947, 3374/548

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 756/947, 3374/548?

Answer: GCF of Numerators as per given numbers 756/947, 3374/548 is

GCF of Numerators i.e. for 756,3374 is 14

LCM of denominators i.e. for 947,548 is 518956.

Thus, GCF of Fractions is 14/518956.Finally, GCF of Fractions for 756/947, 3374/548 is 14/518956.