Greatest Common Factor of 3095/871, 8580/637

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3095/871, 8580/637

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 3095/871,8580/637

Given fractions are 3095/871,8580/637

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 3095,8580

Greatest Common Factor of Numerators i.e. GCF of 3095,8580 is 5 .

LCM of Denominators means LCM of 871,637 as per the given fractions.

LCM of 871,637 is 42679 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3095,8580

GCF of Fractions 3095/871,8580/637 is 5/42679

5 3095, 8580
619, 1716

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 3095,8580 By Matching Biggest Common Factor Method

Greatest Common Factor of 3095,8580 By Matching Biggest Common Factor Method

Factors of 3095

List of positive integer factors of 3095 that divides 3095 without a remainder.

1,5,619,3095

Factors of 8580

List of positive integer factors of 8580 that divides 8580 without a remainder.

1,2,3,4,5,6,10,11,12,13,15,20,22,26,30,33,39,44,52,55,60,65,66,78,110,130,132,143,156,165,195,220,260,286,330,390,429,572,660,715,780,858,1430,1716,2145,2860,4290,8580

Greatest Common Factor

We found the factors 3095,8580 . The biggest common factor number is the GCF number.
So the greatest common factor 3095,8580 is 5.

Lets's calculate LCM of 871,637

13 871, 637
67, 49

∴ So the LCM of the given numbers is 13 x 67 x 49 = 42679

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/42679

Therefore, the GCF of Fractions 3095/871,8580/637 is 5/42679

Least Common Multiple of 871,637 with GCF Formula

Least Common Multiple of 871,637 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 871,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(871,637) = 13

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

GCF(871,637) x common factors =13 x 1 = 13

LCM(871,637) = ( 871 × 637 ) / 13

LCM(871,637) = 554827 / 13

LCM(871,637) = 42679


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 3095/871, 8580/637

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 3095/871, 8580/637?

Answer: GCF of Numerators as per given numbers 3095/871, 8580/637 is

GCF of Numerators i.e. for 3095,8580 is 5

LCM of denominators i.e. for 871,637 is 42679.

Thus, GCF of Fractions is 5/42679.Finally, GCF of Fractions for 3095/871, 8580/637 is 5/42679.