Greatest Common Factor of 7050/793, 2974/427

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7050/793, 2974/427

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 7050/793,2974/427

Given fractions are 7050/793,2974/427

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 7050,2974

Greatest Common Factor of Numerators i.e. GCF of 7050,2974 is 2 .

LCM of Denominators means LCM of 793,427 as per the given fractions.

LCM of 793,427 is 5551 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7050,2974

GCF of Fractions 7050/793,2974/427 is 2/5551

2 7050, 2974
3525, 1487

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

Greatest Common Factor of 7050,2974 By Matching Biggest Common Factor Method

Greatest Common Factor of 7050,2974 By Matching Biggest Common Factor Method

Factors of 7050

List of positive integer factors of 7050 that divides 7050 without a remainder.

1,2,3,5,6,10,15,25,30,47,50,75,94,141,150,235,282,470,705,1175,1410,2350,3525,7050

Factors of 2974

List of positive integer factors of 2974 that divides 2974 without a remainder.

1,2,1487,2974

Greatest Common Factor

We found the factors 7050,2974 . The biggest common factor number is the GCF number.
So the greatest common factor 7050,2974 is 2.

Lets's calculate LCM of 793,427

61 793, 427
13, 7

∴ So the LCM of the given numbers is 61 x 13 x 7 = 5551

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5551

Therefore, the GCF of Fractions 7050/793,2974/427 is 2/5551

Least Common Multiple of 793,427 with GCF Formula

Least Common Multiple of 793,427 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 793,427 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(793,427) = 61

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

GCF(793,427) x common factors =61 x 1 = 61

LCM(793,427) = ( 793 × 427 ) / 61

LCM(793,427) = 338611 / 61

LCM(793,427) = 5551


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 7050/793, 2974/427

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 7050/793, 2974/427?

Answer: GCF of Numerators as per given numbers 7050/793, 2974/427 is

GCF of Numerators i.e. for 7050,2974 is 2

LCM of denominators i.e. for 793,427 is 5551.

Thus, GCF of Fractions is 2/5551.Finally, GCF of Fractions for 7050/793, 2974/427 is 2/5551.