Greatest Common Factor of 1375/832, 7219/3144

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1375/832, 7219/3144

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 1375/832,7219/3144

Given fractions are 1375/832,7219/3144

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 1375,7219

Greatest Common Factor of Numerators i.e. GCF of 1375,7219 is 1 .

LCM of Denominators means LCM of 832,3144 as per the given fractions.

LCM of 832,3144 is 326976 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1375,7219

GCF of Fractions 1375/832,7219/3144 is 1/326976

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 1375,7219 By Matching Biggest Common Factor Method

Greatest Common Factor of 1375,7219 By Matching Biggest Common Factor Method

Factors of 1375

List of positive integer factors of 1375 that divides 1375 without a remainder.

1,5,11,25,55,125,275,1375

Factors of 7219

List of positive integer factors of 7219 that divides 7219 without a remainder.

1,7219

Greatest Common Factor

We found the factors 1375,7219 . The biggest common factor number is the GCF number.
So the greatest common factor 1375,7219 is 1.

Lets's calculate LCM of 832,3144

2 832, 3144
2 416, 1572
2 208, 786
104, 393

∴ So the LCM of the given numbers is 2 x 2 x 2 x 104 x 393 = 326976

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/326976

Therefore, the GCF of Fractions 1375/832,7219/3144 is 1/326976

Least Common Multiple of 832,3144 with GCF Formula

Least Common Multiple of 832,3144 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 832,3144 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(832,3144) = 8

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

GCF(832,3144) x common factors =8 x 1 = 8

LCM(832,3144) = ( 832 × 3144 ) / 8

LCM(832,3144) = 2615808 / 8

LCM(832,3144) = 326976


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 1375/832, 7219/3144

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 1375/832, 7219/3144?

Answer: GCF of Numerators as per given numbers 1375/832, 7219/3144 is

GCF of Numerators i.e. for 1375,7219 is 1

LCM of denominators i.e. for 832,3144 is 326976.

Thus, GCF of Fractions is 1/326976.Finally, GCF of Fractions for 1375/832, 7219/3144 is 1/326976.