Greatest Common Factor of 3988/322, 9525/814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3988/322, 9525/814

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 3988/322,9525/814

Given fractions are 3988/322,9525/814

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 3988,9525

Greatest Common Factor of Numerators i.e. GCF of 3988,9525 is 1 .

LCM of Denominators means LCM of 322,814 as per the given fractions.

LCM of 322,814 is 131054 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3988,9525

GCF of Fractions 3988/322,9525/814 is 1/131054

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

Greatest Common Factor of 3988,9525 By Matching Biggest Common Factor Method

Greatest Common Factor of 3988,9525 By Matching Biggest Common Factor Method

Factors of 3988

List of positive integer factors of 3988 that divides 3988 without a remainder.

1,2,4,997,1994,3988

Factors of 9525

List of positive integer factors of 9525 that divides 9525 without a remainder.

1,3,5,15,25,75,127,381,635,1905,3175,9525

Greatest Common Factor

We found the factors 3988,9525 . The biggest common factor number is the GCF number.
So the greatest common factor 3988,9525 is 1.

Lets's calculate LCM of 322,814

2 322, 814
161, 407

∴ So the LCM of the given numbers is 2 x 161 x 407 = 131054

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/131054

Therefore, the GCF of Fractions 3988/322,9525/814 is 1/131054

Least Common Multiple of 322,814 with GCF Formula

Least Common Multiple of 322,814 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 322,814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(322,814) = 2

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

GCF(322,814) x common factors =2 x 1 = 2

LCM(322,814) = ( 322 × 814 ) / 2

LCM(322,814) = 262108 / 2

LCM(322,814) = 131054


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 3988/322, 9525/814

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 3988/322, 9525/814?

Answer: GCF of Numerators as per given numbers 3988/322, 9525/814 is

GCF of Numerators i.e. for 3988,9525 is 1

LCM of denominators i.e. for 322,814 is 131054.

Thus, GCF of Fractions is 1/131054.Finally, GCF of Fractions for 3988/322, 9525/814 is 1/131054.