Greatest Common Factor of 2686/628, 2252/4036

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2686/628, 2252/4036

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 2686/628,2252/4036

Given fractions are 2686/628,2252/4036

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 2686,2252

Greatest Common Factor of Numerators i.e. GCF of 2686,2252 is 2 .

LCM of Denominators means LCM of 628,4036 as per the given fractions.

LCM of 628,4036 is 633652 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2686,2252

GCF of Fractions 2686/628,2252/4036 is 2/633652

2 2686, 2252
1343, 1126

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

Greatest Common Factor of 2686,2252 By Matching Biggest Common Factor Method

Greatest Common Factor of 2686,2252 By Matching Biggest Common Factor Method

Factors of 2686

List of positive integer factors of 2686 that divides 2686 without a remainder.

1,2,17,34,79,158,1343,2686

Factors of 2252

List of positive integer factors of 2252 that divides 2252 without a remainder.

1,2,4,563,1126,2252

Greatest Common Factor

We found the factors 2686,2252 . The biggest common factor number is the GCF number.
So the greatest common factor 2686,2252 is 2.

Lets's calculate LCM of 628,4036

2 628, 4036
2 314, 2018
157, 1009

∴ So the LCM of the given numbers is 2 x 2 x 157 x 1009 = 633652

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/633652

Therefore, the GCF of Fractions 2686/628,2252/4036 is 2/633652

Least Common Multiple of 628,4036 with GCF Formula

Least Common Multiple of 628,4036 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 628,4036 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(628,4036) = 4

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

GCF(628,4036) x common factors =4 x 1 = 4

LCM(628,4036) = ( 628 × 4036 ) / 4

LCM(628,4036) = 2534608 / 4

LCM(628,4036) = 633652


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 2686/628, 2252/4036

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 2686/628, 2252/4036?

Answer: GCF of Numerators as per given numbers 2686/628, 2252/4036 is

GCF of Numerators i.e. for 2686,2252 is 2

LCM of denominators i.e. for 628,4036 is 633652.

Thus, GCF of Fractions is 2/633652.Finally, GCF of Fractions for 2686/628, 2252/4036 is 2/633652.