Greatest Common Factor of 464/20, 332/20, 982/10

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 464/20, 332/20, 982/10

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 464/20,332/20,982/10

Given fractions are 464/20,332/20,982/10

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 464,332,982

Greatest Common Factor of Numerators i.e. GCF of 464,332,982 is 2 .

LCM of Denominators means LCM of 20,20,10 as per the given fractions.

LCM of 20,20,10 is 20 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 464,332,982

GCF of Fractions 464/20,332/20,982/10 is 2/20

2 464, 332, 982
232, 166, 491

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

Greatest Common Factor of 464,332,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 464,332,982 By Matching Biggest Common Factor Method

Factors of 464

List of positive integer factors of 464 that divides 464 without a remainder.

1,2,4,8,16,29,58,116,232,464

Factors of 332

List of positive integer factors of 332 that divides 332 without a remainder.

1,2,4,83,166,332

Factors of 982

List of positive integer factors of 982 that divides 982 without a remainder.

1,2,491,982

Greatest Common Factor

We found the factors 464,332,982 . The biggest common factor number is the GCF number.
So the greatest common factor 464,332,982 is 2.


Lets's calculate LCM of 20,20,10

2 20, 20, 10
2 10, 10, 5
5 5, 5, 5
1, 1, 1

∴ So the LCM of the given numbers is 2 x 2 x 5 x 1 x 1 x 1 = 20

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/20

Therefore, the GCF of Fractions 464/20,332/20,982/10 is 2/20

Least Common Multiple of 20,20,10 with GCF Formula

Least Common Multiple of 20,20,10 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 20,20,10 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(20,20,10) = 10

common factors(in case of two or more numbers have common factors) = 20

GCF(20,20,10) x common factors =10 x 20 = 200

LCM(20,20,10) = ( 20 × 20 × 10 ) / 200

LCM(20,20,10) = 4000 / 200

LCM(20,20,10) = 20


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 464/20, 332/20, 982/10

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 464/20, 332/20, 982/10?

Answer: GCF of Numerators as per given numbers 464/20, 332/20, 982/10 is

GCF of Numerators i.e. for 464,332,982 is 2

LCM of denominators i.e. for 20,20,10 is 20.

Thus, GCF of Fractions is 2/20.Finally, GCF of Fractions for 464/20, 332/20, 982/10 is 2/20.