Greatest Common Factor of 896/148, 375/844, 765/675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 896/148, 375/844, 765/675

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 896/148,375/844,765/675

Given fractions are 896/148,375/844,765/675

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 896,375,765

Greatest Common Factor of Numerators i.e. GCF of 896,375,765 is 1 .

LCM of Denominators means LCM of 148,844,675 as per the given fractions.

LCM of 148,844,675 is 21078900 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 896,375,765

GCF of Fractions 896/148,375/844,765/675 is 1/21078900

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

Greatest Common Factor of 896,375,765 By Matching Biggest Common Factor Method

Greatest Common Factor of 896,375,765 By Matching Biggest Common Factor Method

Factors of 896

List of positive integer factors of 896 that divides 896 without a remainder.

1,2,4,7,8,14,16,28,32,56,64,112,128,224,448,896

Factors of 375

List of positive integer factors of 375 that divides 375 without a remainder.

1,3,5,15,25,75,125,375

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Greatest Common Factor

We found the factors 896,375,765 . The biggest common factor number is the GCF number.
So the greatest common factor 896,375,765 is 1.

Lets's calculate LCM of 148,844,675

2 148, 844, 675
2 74, 422, 675
37, 211, 675

∴ So the LCM of the given numbers is 2 x 2 x 37 x 211 x 675 = 21078900

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21078900

Therefore, the GCF of Fractions 896/148,375/844,765/675 is 1/21078900

Least Common Multiple of 148,844,675 with GCF Formula

Least Common Multiple of 148,844,675 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 148,844,675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(148,844,675) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(148,844,675) x common factors =1 x 4 = 4

LCM(148,844,675) = ( 148 × 844 × 675 ) / 4

LCM(148,844,675) = 84315600 / 4

LCM(148,844,675) = 21078900


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 896/148, 375/844, 765/675

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 896/148, 375/844, 765/675?

Answer: GCF of Numerators as per given numbers 896/148, 375/844, 765/675 is

GCF of Numerators i.e. for 896,375,765 is 1

LCM of denominators i.e. for 148,844,675 is 21078900.

Thus, GCF of Fractions is 1/21078900.Finally, GCF of Fractions for 896/148, 375/844, 765/675 is 1/21078900.