Greatest Common Factor of 638/53, 8420/989

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 638/53, 8420/989

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 638/53,8420/989

Given fractions are 638/53,8420/989

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 638,8420

Greatest Common Factor of Numerators i.e. GCF of 638,8420 is 2 .

LCM of Denominators means LCM of 53,989 as per the given fractions.

LCM of 53,989 is 52417 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 638,8420

GCF of Fractions 638/53,8420/989 is 2/52417

2 638, 8420
319, 4210

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

Greatest Common Factor of 638,8420 By Matching Biggest Common Factor Method

Greatest Common Factor of 638,8420 By Matching Biggest Common Factor Method

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Factors of 8420

List of positive integer factors of 8420 that divides 8420 without a remainder.

1,2,4,5,10,20,421,842,1684,2105,4210,8420

Greatest Common Factor

We found the factors 638,8420 . The biggest common factor number is the GCF number.
So the greatest common factor 638,8420 is 2.

Lets's calculate LCM of 53,989

Given numbers has no common factors except 1. So, there LCM is their product i.e 52417

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/52417

Therefore, the GCF of Fractions 638/53,8420/989 is 2/52417

Least Common Multiple of 53,989 with GCF Formula

Least Common Multiple of 53,989 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 53,989 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(53,989) = 1

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

GCF(53,989) x common factors =1 x 1 = 1

LCM(53,989) = ( 53 × 989 ) / 1

LCM(53,989) = 52417 / 1

LCM(53,989) = 52417


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 638/53, 8420/989

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 638/53, 8420/989?

Answer: GCF of Numerators as per given numbers 638/53, 8420/989 is

GCF of Numerators i.e. for 638,8420 is 2

LCM of denominators i.e. for 53,989 is 52417.

Thus, GCF of Fractions is 2/52417.Finally, GCF of Fractions for 638/53, 8420/989 is 2/52417.