Greatest Common Factor of 894/7162, 532/1675

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 894/7162, 532/1675

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 894/7162,532/1675

Given fractions are 894/7162,532/1675

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 894,532

Greatest Common Factor of Numerators i.e. GCF of 894,532 is 2 .

LCM of Denominators means LCM of 7162,1675 as per the given fractions.

LCM of 7162,1675 is 11996350 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 894,532

GCF of Fractions 894/7162,532/1675 is 2/11996350

2 894, 532
447, 266

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

Greatest Common Factor of 894,532 By Matching Biggest Common Factor Method

Greatest Common Factor of 894,532 By Matching Biggest Common Factor Method

Factors of 894

List of positive integer factors of 894 that divides 894 without a remainder.

1,2,3,6,149,298,447,894

Factors of 532

List of positive integer factors of 532 that divides 532 without a remainder.

1,2,4,7,14,19,28,38,76,133,266,532

Greatest Common Factor

We found the factors 894,532 . The biggest common factor number is the GCF number.
So the greatest common factor 894,532 is 2.

Lets's calculate LCM of 7162,1675

Given numbers has no common factors except 1. So, there LCM is their product i.e 11996350

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/11996350

Therefore, the GCF of Fractions 894/7162,532/1675 is 2/11996350

Least Common Multiple of 7162,1675 with GCF Formula

Least Common Multiple of 7162,1675 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 7162,1675 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(7162,1675) = 1

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

GCF(7162,1675) x common factors =1 x 1 = 1

LCM(7162,1675) = ( 7162 × 1675 ) / 1

LCM(7162,1675) = 11996350 / 1

LCM(7162,1675) = 11996350


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 894/7162, 532/1675

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 894/7162, 532/1675?

Answer: GCF of Numerators as per given numbers 894/7162, 532/1675 is

GCF of Numerators i.e. for 894,532 is 2

LCM of denominators i.e. for 7162,1675 is 11996350.

Thus, GCF of Fractions is 2/11996350.Finally, GCF of Fractions for 894/7162, 532/1675 is 2/11996350.