Greatest Common Factor of 3512/864, 8961/8827

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3512/864, 8961/8827

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 3512/864,8961/8827

Given fractions are 3512/864,8961/8827

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 3512,8961

Greatest Common Factor of Numerators i.e. GCF of 3512,8961 is 1 .

LCM of Denominators means LCM of 864,8827 as per the given fractions.

LCM of 864,8827 is 7626528 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3512,8961

GCF of Fractions 3512/864,8961/8827 is 1/7626528

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

Greatest Common Factor of 3512,8961 By Matching Biggest Common Factor Method

Greatest Common Factor of 3512,8961 By Matching Biggest Common Factor Method

Factors of 3512

List of positive integer factors of 3512 that divides 3512 without a remainder.

1,2,4,8,439,878,1756,3512

Factors of 8961

List of positive integer factors of 8961 that divides 8961 without a remainder.

1,3,29,87,103,309,2987,8961

Greatest Common Factor

We found the factors 3512,8961 . The biggest common factor number is the GCF number.
So the greatest common factor 3512,8961 is 1.

Lets's calculate LCM of 864,8827

Given numbers has no common factors except 1. So, there LCM is their product i.e 7626528

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7626528

Therefore, the GCF of Fractions 3512/864,8961/8827 is 1/7626528

Least Common Multiple of 864,8827 with GCF Formula

Least Common Multiple of 864,8827 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 864,8827 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(864,8827) = 1

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

GCF(864,8827) x common factors =1 x 1 = 1

LCM(864,8827) = ( 864 × 8827 ) / 1

LCM(864,8827) = 7626528 / 1

LCM(864,8827) = 7626528


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 3512/864, 8961/8827

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 3512/864, 8961/8827?

Answer: GCF of Numerators as per given numbers 3512/864, 8961/8827 is

GCF of Numerators i.e. for 3512,8961 is 1

LCM of denominators i.e. for 864,8827 is 7626528.

Thus, GCF of Fractions is 1/7626528.Finally, GCF of Fractions for 3512/864, 8961/8827 is 1/7626528.