Greatest Common Factor of 7128/710, 6248/3552

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7128/710, 6248/3552

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 7128/710,6248/3552

Given fractions are 7128/710,6248/3552

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 7128,6248

Greatest Common Factor of Numerators i.e. GCF of 7128,6248 is 88 .

LCM of Denominators means LCM of 710,3552 as per the given fractions.

LCM of 710,3552 is 1260960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7128,6248

GCF of Fractions 7128/710,6248/3552 is 88/1260960

2 7128, 6248
2 3564, 3124
2 1782, 1562
11 891, 781
81, 71

∴ So the GCF of the given numbers is 2 x 2 x 2 x 11 = 88

Greatest Common Factor of 7128,6248 By Matching Biggest Common Factor Method

Greatest Common Factor of 7128,6248 By Matching Biggest Common Factor Method

Factors of 7128

List of positive integer factors of 7128 that divides 7128 without a remainder.

1,2,3,4,6,8,9,11,12,18,22,24,27,33,36,44,54,66,72,81,88,99,108,132,162,198,216,264,297,324,396,594,648,792,891,1188,1782,2376,3564,7128

Factors of 6248

List of positive integer factors of 6248 that divides 6248 without a remainder.

1,2,4,8,11,22,44,71,88,142,284,568,781,1562,3124,6248

Greatest Common Factor

We found the factors 7128,6248 . The biggest common factor number is the GCF number.
So the greatest common factor 7128,6248 is 88.

Lets's calculate LCM of 710,3552

2 710, 3552
355, 1776

∴ So the LCM of the given numbers is 2 x 355 x 1776 = 1260960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 88/1260960

Therefore, the GCF of Fractions 7128/710,6248/3552 is 88/1260960

Least Common Multiple of 710,3552 with GCF Formula

Least Common Multiple of 710,3552 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 710,3552 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(710,3552) = 2

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

GCF(710,3552) x common factors =2 x 1 = 2

LCM(710,3552) = ( 710 × 3552 ) / 2

LCM(710,3552) = 2521920 / 2

LCM(710,3552) = 1260960


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 7128/710, 6248/3552

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 7128/710, 6248/3552?

Answer: GCF of Numerators as per given numbers 7128/710, 6248/3552 is

GCF of Numerators i.e. for 7128,6248 is 88

LCM of denominators i.e. for 710,3552 is 1260960.

Thus, GCF of Fractions is 88/1260960.Finally, GCF of Fractions for 7128/710, 6248/3552 is 88/1260960.