Greatest Common Factor of 2624/625, 6202/2887

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2624/625, 6202/2887

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 2624/625,6202/2887

Given fractions are 2624/625,6202/2887

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 2624,6202

Greatest Common Factor of Numerators i.e. GCF of 2624,6202 is 2 .

LCM of Denominators means LCM of 625,2887 as per the given fractions.

LCM of 625,2887 is 1804375 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2624,6202

GCF of Fractions 2624/625,6202/2887 is 2/1804375

2 2624, 6202
1312, 3101

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

Greatest Common Factor of 2624,6202 By Matching Biggest Common Factor Method

Greatest Common Factor of 2624,6202 By Matching Biggest Common Factor Method

Factors of 2624

List of positive integer factors of 2624 that divides 2624 without a remainder.

1,2,4,8,16,32,41,64,82,164,328,656,1312,2624

Factors of 6202

List of positive integer factors of 6202 that divides 6202 without a remainder.

1,2,7,14,443,886,3101,6202

Greatest Common Factor

We found the factors 2624,6202 . The biggest common factor number is the GCF number.
So the greatest common factor 2624,6202 is 2.

Lets's calculate LCM of 625,2887

Given numbers has no common factors except 1. So, there LCM is their product i.e 1804375

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1804375

Therefore, the GCF of Fractions 2624/625,6202/2887 is 2/1804375

Least Common Multiple of 625,2887 with GCF Formula

Least Common Multiple of 625,2887 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 625,2887 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,2887) = 1

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

GCF(625,2887) x common factors =1 x 1 = 1

LCM(625,2887) = ( 625 × 2887 ) / 1

LCM(625,2887) = 1804375 / 1

LCM(625,2887) = 1804375


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 2624/625, 6202/2887

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 2624/625, 6202/2887?

Answer: GCF of Numerators as per given numbers 2624/625, 6202/2887 is

GCF of Numerators i.e. for 2624,6202 is 2

LCM of denominators i.e. for 625,2887 is 1804375.

Thus, GCF of Fractions is 2/1804375.Finally, GCF of Fractions for 2624/625, 6202/2887 is 2/1804375.