Greatest Common Factor of 988/38, 984/604

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 988/38, 984/604

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 988/38,984/604

Given fractions are 988/38,984/604

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 988,984

Greatest Common Factor of Numerators i.e. GCF of 988,984 is 4 .

LCM of Denominators means LCM of 38,604 as per the given fractions.

LCM of 38,604 is 11476 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 988,984

GCF of Fractions 988/38,984/604 is 4/11476

2 988, 984
2 494, 492
247, 246

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 988,984 By Matching Biggest Common Factor Method

Greatest Common Factor of 988,984 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 984

List of positive integer factors of 984 that divides 984 without a remainder.

1,2,3,4,6,8,12,24,41,82,123,164,246,328,492,984

Greatest Common Factor

We found the factors 988,984 . The biggest common factor number is the GCF number.
So the greatest common factor 988,984 is 4.

Lets's calculate LCM of 38,604

2 38, 604
19, 302

∴ So the LCM of the given numbers is 2 x 19 x 302 = 11476

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/11476

Therefore, the GCF of Fractions 988/38,984/604 is 4/11476

Least Common Multiple of 38,604 with GCF Formula

Least Common Multiple of 38,604 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 38,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,604) = 2

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

GCF(38,604) x common factors =2 x 1 = 2

LCM(38,604) = ( 38 × 604 ) / 2

LCM(38,604) = 22952 / 2

LCM(38,604) = 11476


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 988/38, 984/604

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 988/38, 984/604?

Answer: GCF of Numerators as per given numbers 988/38, 984/604 is

GCF of Numerators i.e. for 988,984 is 4

LCM of denominators i.e. for 38,604 is 11476.

Thus, GCF of Fractions is 4/11476.Finally, GCF of Fractions for 988/38, 984/604 is 4/11476.