Greatest Common Factor of 1072/288, 8952/435

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1072/288, 8952/435

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 1072/288,8952/435

Given fractions are 1072/288,8952/435

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 1072,8952

Greatest Common Factor of Numerators i.e. GCF of 1072,8952 is 8 .

LCM of Denominators means LCM of 288,435 as per the given fractions.

LCM of 288,435 is 41760 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1072,8952

GCF of Fractions 1072/288,8952/435 is 8/41760

2 1072, 8952
2 536, 4476
2 268, 2238
134, 1119

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 1072,8952 By Matching Biggest Common Factor Method

Greatest Common Factor of 1072,8952 By Matching Biggest Common Factor Method

Factors of 1072

List of positive integer factors of 1072 that divides 1072 without a remainder.

1,2,4,8,16,67,134,268,536,1072

Factors of 8952

List of positive integer factors of 8952 that divides 8952 without a remainder.

1,2,3,4,6,8,12,24,373,746,1119,1492,2238,2984,4476,8952

Greatest Common Factor

We found the factors 1072,8952 . The biggest common factor number is the GCF number.
So the greatest common factor 1072,8952 is 8.

Lets's calculate LCM of 288,435

3 288, 435
96, 145

∴ So the LCM of the given numbers is 3 x 96 x 145 = 41760

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/41760

Therefore, the GCF of Fractions 1072/288,8952/435 is 8/41760

Least Common Multiple of 288,435 with GCF Formula

Least Common Multiple of 288,435 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 288,435 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(288,435) = 3

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

GCF(288,435) x common factors =3 x 1 = 3

LCM(288,435) = ( 288 × 435 ) / 3

LCM(288,435) = 125280 / 3

LCM(288,435) = 41760


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 1072/288, 8952/435

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 1072/288, 8952/435?

Answer: GCF of Numerators as per given numbers 1072/288, 8952/435 is

GCF of Numerators i.e. for 1072,8952 is 8

LCM of denominators i.e. for 288,435 is 41760.

Thus, GCF of Fractions is 8/41760.Finally, GCF of Fractions for 1072/288, 8952/435 is 8/41760.