Greatest Common Factor of 7152/216, 1034/574

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7152/216, 1034/574

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 7152/216,1034/574

Given fractions are 7152/216,1034/574

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 7152,1034

Greatest Common Factor of Numerators i.e. GCF of 7152,1034 is 2 .

LCM of Denominators means LCM of 216,574 as per the given fractions.

LCM of 216,574 is 61992 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7152,1034

GCF of Fractions 7152/216,1034/574 is 2/61992

2 7152, 1034
3576, 517

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

Greatest Common Factor of 7152,1034 By Matching Biggest Common Factor Method

Greatest Common Factor of 7152,1034 By Matching Biggest Common Factor Method

Factors of 7152

List of positive integer factors of 7152 that divides 7152 without a remainder.

1,2,3,4,6,8,12,16,24,48,149,298,447,596,894,1192,1788,2384,3576,7152

Factors of 1034

List of positive integer factors of 1034 that divides 1034 without a remainder.

1,2,11,22,47,94,517,1034

Greatest Common Factor

We found the factors 7152,1034 . The biggest common factor number is the GCF number.
So the greatest common factor 7152,1034 is 2.

Lets's calculate LCM of 216,574

2 216, 574
108, 287

∴ So the LCM of the given numbers is 2 x 108 x 287 = 61992

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/61992

Therefore, the GCF of Fractions 7152/216,1034/574 is 2/61992

Least Common Multiple of 216,574 with GCF Formula

Least Common Multiple of 216,574 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 216,574 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,574) = 2

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

GCF(216,574) x common factors =2 x 1 = 2

LCM(216,574) = ( 216 × 574 ) / 2

LCM(216,574) = 123984 / 2

LCM(216,574) = 61992


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 7152/216, 1034/574

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 7152/216, 1034/574?

Answer: GCF of Numerators as per given numbers 7152/216, 1034/574 is

GCF of Numerators i.e. for 7152,1034 is 2

LCM of denominators i.e. for 216,574 is 61992.

Thus, GCF of Fractions is 2/61992.Finally, GCF of Fractions for 7152/216, 1034/574 is 2/61992.