Greatest Common Factor of 3512/897, 9952/766

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 3512/897, 9952/766

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 3512/897,9952/766

Given fractions are 3512/897,9952/766

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 3512,9952

Greatest Common Factor of Numerators i.e. GCF of 3512,9952 is 8 .

LCM of Denominators means LCM of 897,766 as per the given fractions.

LCM of 897,766 is 687102 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3512,9952

GCF of Fractions 3512/897,9952/766 is 8/687102

2 3512, 9952
2 1756, 4976
2 878, 2488
439, 1244

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

Greatest Common Factor of 3512,9952 By Matching Biggest Common Factor Method

Greatest Common Factor of 3512,9952 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 9952

List of positive integer factors of 9952 that divides 9952 without a remainder.

1,2,4,8,16,32,311,622,1244,2488,4976,9952

Greatest Common Factor

We found the factors 3512,9952 . The biggest common factor number is the GCF number.
So the greatest common factor 3512,9952 is 8.


Lets's calculate LCM of 897,766

Given numbers has no common factors except 1. So, there LCM is their product i.e 687102

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/687102

Therefore, the GCF of Fractions 3512/897,9952/766 is 8/687102

Least Common Multiple of 897,766 with GCF Formula

Least Common Multiple of 897,766 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 897,766 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(897,766) = 1

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

GCF(897,766) x common factors =1 x 1 = 1

LCM(897,766) = ( 897 × 766 ) / 1

LCM(897,766) = 687102 / 1

LCM(897,766) = 687102


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 3512/897, 9952/766

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 3512/897, 9952/766?

Answer: GCF of Numerators as per given numbers 3512/897, 9952/766 is

GCF of Numerators i.e. for 3512,9952 is 8

LCM of denominators i.e. for 897,766 is 687102.

Thus, GCF of Fractions is 8/687102.Finally, GCF of Fractions for 3512/897, 9952/766 is 8/687102.