Greatest Common Factor of 988/402, 108/673, 554/914

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/402, 108/673, 554/914

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 988/402,108/673,554/914

Given fractions are 988/402,108/673,554/914

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 988,108,554

Greatest Common Factor of Numerators i.e. GCF of 988,108,554 is 2 .

LCM of Denominators means LCM of 402,673,914 as per the given fractions.

LCM of 402,673,914 is 123639522 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,108,554

GCF of Fractions 988/402,108/673,554/914 is 2/123639522

2 988, 108, 554
494, 54, 277

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

Greatest Common Factor of 988,108,554 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,108,554 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 108

List of positive integer factors of 108 that divides 108 without a remainder.

1,2,3,4,6,9,12,18,27,36,54,108

Factors of 554

List of positive integer factors of 554 that divides 554 without a remainder.

1,2,277,554

Greatest Common Factor

We found the factors 988,108,554 . The biggest common factor number is the GCF number.
So the greatest common factor 988,108,554 is 2.

Lets's calculate LCM of 402,673,914

2 402, 673, 914
201, 673, 457

∴ So the LCM of the given numbers is 2 x 201 x 673 x 457 = 123639522

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/123639522

Therefore, the GCF of Fractions 988/402,108/673,554/914 is 2/123639522

Least Common Multiple of 402,673,914 with GCF Formula

Least Common Multiple of 402,673,914 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 402,673,914 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(402,673,914) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(402,673,914) x common factors =1 x 2 = 2

LCM(402,673,914) = ( 402 × 673 × 914 ) / 2

LCM(402,673,914) = 247279044 / 2

LCM(402,673,914) = 123639522


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 988/402, 108/673, 554/914

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 988/402, 108/673, 554/914?

Answer: GCF of Numerators as per given numbers 988/402, 108/673, 554/914 is

GCF of Numerators i.e. for 988,108,554 is 2

LCM of denominators i.e. for 402,673,914 is 123639522.

Thus, GCF of Fractions is 2/123639522.Finally, GCF of Fractions for 988/402, 108/673, 554/914 is 2/123639522.