Greatest Common Factor of 3895/827, 3488/264

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3895/827, 3488/264

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 3895/827,3488/264

Given fractions are 3895/827,3488/264

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 3895,3488

Greatest Common Factor of Numerators i.e. GCF of 3895,3488 is 1 .

LCM of Denominators means LCM of 827,264 as per the given fractions.

LCM of 827,264 is 218328 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3895,3488

GCF of Fractions 3895/827,3488/264 is 1/218328

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

Greatest Common Factor of 3895,3488 By Matching Biggest Common Factor Method

Greatest Common Factor of 3895,3488 By Matching Biggest Common Factor Method

Factors of 3895

List of positive integer factors of 3895 that divides 3895 without a remainder.

1,5,19,41,95,205,779,3895

Factors of 3488

List of positive integer factors of 3488 that divides 3488 without a remainder.

1,2,4,8,16,32,109,218,436,872,1744,3488

Greatest Common Factor

We found the factors 3895,3488 . The biggest common factor number is the GCF number.
So the greatest common factor 3895,3488 is 1.

Lets's calculate LCM of 827,264

Given numbers has no common factors except 1. So, there LCM is their product i.e 218328

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/218328

Therefore, the GCF of Fractions 3895/827,3488/264 is 1/218328

Least Common Multiple of 827,264 with GCF Formula

Least Common Multiple of 827,264 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 827,264 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(827,264) = 1

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

GCF(827,264) x common factors =1 x 1 = 1

LCM(827,264) = ( 827 × 264 ) / 1

LCM(827,264) = 218328 / 1

LCM(827,264) = 218328


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 3895/827, 3488/264

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 3895/827, 3488/264?

Answer: GCF of Numerators as per given numbers 3895/827, 3488/264 is

GCF of Numerators i.e. for 3895,3488 is 1

LCM of denominators i.e. for 827,264 is 218328.

Thus, GCF of Fractions is 1/218328.Finally, GCF of Fractions for 3895/827, 3488/264 is 1/218328.