Greatest Common Factor of 988/32, 348/54, 798/332

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/32, 348/54, 798/332

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 988/32,348/54,798/332

Given fractions are 988/32,348/54,798/332

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 988,348,798

Greatest Common Factor of Numerators i.e. GCF of 988,348,798 is 2 .

LCM of Denominators means LCM of 32,54,332 as per the given fractions.

LCM of 32,54,332 is 71712 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,348,798

GCF of Fractions 988/32,348/54,798/332 is 2/71712

2 988, 348, 798
494, 174, 399

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

Greatest Common Factor of 988,348,798 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,348,798 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 348

List of positive integer factors of 348 that divides 348 without a remainder.

1,2,3,4,6,12,29,58,87,116,174,348

Factors of 798

List of positive integer factors of 798 that divides 798 without a remainder.

1,2,3,6,7,14,19,21,38,42,57,114,133,266,399,798

Greatest Common Factor

We found the factors 988,348,798 . The biggest common factor number is the GCF number.
So the greatest common factor 988,348,798 is 2.

Lets's calculate LCM of 32,54,332

2 32, 54, 332
2 16, 27, 166
8, 27, 83

∴ So the LCM of the given numbers is 2 x 2 x 8 x 27 x 83 = 71712

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/71712

Therefore, the GCF of Fractions 988/32,348/54,798/332 is 2/71712

Least Common Multiple of 32,54,332 with GCF Formula

Least Common Multiple of 32,54,332 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 32,54,332 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,54,332) = 2

common factors(in case of two or more numbers have common factors) = 4

GCF(32,54,332) x common factors =2 x 4 = 8

LCM(32,54,332) = ( 32 × 54 × 332 ) / 8

LCM(32,54,332) = 573696 / 8

LCM(32,54,332) = 71712


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 988/32, 348/54, 798/332

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 988/32, 348/54, 798/332?

Answer: GCF of Numerators as per given numbers 988/32, 348/54, 798/332 is

GCF of Numerators i.e. for 988,348,798 is 2

LCM of denominators i.e. for 32,54,332 is 71712.

Thus, GCF of Fractions is 2/71712.Finally, GCF of Fractions for 988/32, 348/54, 798/332 is 2/71712.