Greatest Common Factor of 988/202, 646/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/202, 646/898

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 988/202,646/898

Given fractions are 988/202,646/898

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 988,646

Greatest Common Factor of Numerators i.e. GCF of 988,646 is 38 .

LCM of Denominators means LCM of 202,898 as per the given fractions.

LCM of 202,898 is 90698 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,646

GCF of Fractions 988/202,646/898 is 38/90698

2 988, 646
19 494, 323
26, 17

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 988,646 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,646 By Matching Biggest Common Factor Method

Factors of 988

List of positive integer factors of 988 that divides 988 without a remainder.

1,2,4,13,19,26,38,52,76,247,494,988

Factors of 646

List of positive integer factors of 646 that divides 646 without a remainder.

1,2,17,19,34,38,323,646

Greatest Common Factor

We found the factors 988,646 . The biggest common factor number is the GCF number.
So the greatest common factor 988,646 is 38.

Lets's calculate LCM of 202,898

2 202, 898
101, 449

∴ So the LCM of the given numbers is 2 x 101 x 449 = 90698

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/90698

Therefore, the GCF of Fractions 988/202,646/898 is 38/90698

Least Common Multiple of 202,898 with GCF Formula

Least Common Multiple of 202,898 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 202,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(202,898) = 2

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

GCF(202,898) x common factors =2 x 1 = 2

LCM(202,898) = ( 202 × 898 ) / 2

LCM(202,898) = 181396 / 2

LCM(202,898) = 90698


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 988/202, 646/898

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 988/202, 646/898?

Answer: GCF of Numerators as per given numbers 988/202, 646/898 is

GCF of Numerators i.e. for 988,646 is 38

LCM of denominators i.e. for 202,898 is 90698.

Thus, GCF of Fractions is 38/90698.Finally, GCF of Fractions for 988/202, 646/898 is 38/90698.