Greatest Common Factor of 63/43, 115/28, 982/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 63/43, 115/28, 982/460

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 63/43,115/28,982/460

Given fractions are 63/43,115/28,982/460

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 63,115,982

Greatest Common Factor of Numerators i.e. GCF of 63,115,982 is 1 .

LCM of Denominators means LCM of 43,28,460 as per the given fractions.

LCM of 43,28,460 is 138460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 63,115,982

GCF of Fractions 63/43,115/28,982/460 is 1/138460

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 63,115,982 By Matching Biggest Common Factor Method

Greatest Common Factor of 63,115,982 By Matching Biggest Common Factor Method

Factors of 63

List of positive integer factors of 63 that divides 63 without a remainder.

1,3,7,9,21,63

Factors of 115

List of positive integer factors of 115 that divides 115 without a remainder.

1,5,23,115

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 63,115,982 . The biggest common factor number is the GCF number.
So the greatest common factor 63,115,982 is 1.

Lets's calculate LCM of 43,28,460

2 43, 28, 460
2 43, 14, 230
43, 7, 115

∴ So the LCM of the given numbers is 2 x 2 x 43 x 7 x 115 = 138460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/138460

Therefore, the GCF of Fractions 63/43,115/28,982/460 is 1/138460

Least Common Multiple of 43,28,460 with GCF Formula

Least Common Multiple of 43,28,460 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 43,28,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,28,460) = 1

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

GCF(43,28,460) x common factors =1 x 4 = 4

LCM(43,28,460) = ( 43 × 28 × 460 ) / 4

LCM(43,28,460) = 553840 / 4

LCM(43,28,460) = 138460


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 63/43, 115/28, 982/460

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 63/43, 115/28, 982/460?

Answer: GCF of Numerators as per given numbers 63/43, 115/28, 982/460 is

GCF of Numerators i.e. for 63,115,982 is 1

LCM of denominators i.e. for 43,28,460 is 138460.

Thus, GCF of Fractions is 1/138460.Finally, GCF of Fractions for 63/43, 115/28, 982/460 is 1/138460.