Greatest Common Factor of 4480/37, 7188/943

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4480/37, 7188/943

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 4480/37,7188/943

Given fractions are 4480/37,7188/943

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 4480,7188

Greatest Common Factor of Numerators i.e. GCF of 4480,7188 is 4 .

LCM of Denominators means LCM of 37,943 as per the given fractions.

LCM of 37,943 is 34891 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4480,7188

GCF of Fractions 4480/37,7188/943 is 4/34891

2 4480, 7188
2 2240, 3594
1120, 1797

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 4480,7188 By Matching Biggest Common Factor Method

Greatest Common Factor of 4480,7188 By Matching Biggest Common Factor Method

Factors of 4480

List of positive integer factors of 4480 that divides 4480 without a remainder.

1,2,4,5,7,8,10,14,16,20,28,32,35,40,56,64,70,80,112,128,140,160,224,280,320,448,560,640,896,1120,2240,4480

Factors of 7188

List of positive integer factors of 7188 that divides 7188 without a remainder.

1,2,3,4,6,12,599,1198,1797,2396,3594,7188

Greatest Common Factor

We found the factors 4480,7188 . The biggest common factor number is the GCF number.
So the greatest common factor 4480,7188 is 4.

Lets's calculate LCM of 37,943

Given numbers has no common factors except 1. So, there LCM is their product i.e 34891

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/34891

Therefore, the GCF of Fractions 4480/37,7188/943 is 4/34891

Least Common Multiple of 37,943 with GCF Formula

Least Common Multiple of 37,943 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 37,943 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(37,943) = 1

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

GCF(37,943) x common factors =1 x 1 = 1

LCM(37,943) = ( 37 × 943 ) / 1

LCM(37,943) = 34891 / 1

LCM(37,943) = 34891


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 4480/37, 7188/943

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 4480/37, 7188/943?

Answer: GCF of Numerators as per given numbers 4480/37, 7188/943 is

GCF of Numerators i.e. for 4480,7188 is 4

LCM of denominators i.e. for 37,943 is 34891.

Thus, GCF of Fractions is 4/34891.Finally, GCF of Fractions for 4480/37, 7188/943 is 4/34891.