Greatest Common Factor of 3552/743, 7215/9949

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3552/743, 7215/9949

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 3552/743,7215/9949

Given fractions are 3552/743,7215/9949

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 3552,7215

Greatest Common Factor of Numerators i.e. GCF of 3552,7215 is 111 .

LCM of Denominators means LCM of 743,9949 as per the given fractions.

LCM of 743,9949 is 7392107 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3552,7215

GCF of Fractions 3552/743,7215/9949 is 111/7392107

3 3552, 7215
37 1184, 2405
32, 65

∴ So the GCF of the given numbers is 3 x 37 = 111

Greatest Common Factor of 3552,7215 By Matching Biggest Common Factor Method

Greatest Common Factor of 3552,7215 By Matching Biggest Common Factor Method

Factors of 3552

List of positive integer factors of 3552 that divides 3552 without a remainder.

1,2,3,4,6,8,12,16,24,32,37,48,74,96,111,148,222,296,444,592,888,1184,1776,3552

Factors of 7215

List of positive integer factors of 7215 that divides 7215 without a remainder.

1,3,5,13,15,37,39,65,111,185,195,481,555,1443,2405,7215

Greatest Common Factor

We found the factors 3552,7215 . The biggest common factor number is the GCF number.
So the greatest common factor 3552,7215 is 111.

Lets's calculate LCM of 743,9949

Given numbers has no common factors except 1. So, there LCM is their product i.e 7392107

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 111/7392107

Therefore, the GCF of Fractions 3552/743,7215/9949 is 111/7392107

Least Common Multiple of 743,9949 with GCF Formula

Least Common Multiple of 743,9949 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 743,9949 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,9949) = 1

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

GCF(743,9949) x common factors =1 x 1 = 1

LCM(743,9949) = ( 743 × 9949 ) / 1

LCM(743,9949) = 7392107 / 1

LCM(743,9949) = 7392107


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 3552/743, 7215/9949

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 3552/743, 7215/9949?

Answer: GCF of Numerators as per given numbers 3552/743, 7215/9949 is

GCF of Numerators i.e. for 3552,7215 is 111

LCM of denominators i.e. for 743,9949 is 7392107.

Thus, GCF of Fractions is 111/7392107.Finally, GCF of Fractions for 3552/743, 7215/9949 is 111/7392107.