Greatest Common Factor of 615/390, 9922/4998

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 615/390, 9922/4998

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 615/390,9922/4998

Given fractions are 615/390,9922/4998

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 615,9922

Greatest Common Factor of Numerators i.e. GCF of 615,9922 is 41 .

LCM of Denominators means LCM of 390,4998 as per the given fractions.

LCM of 390,4998 is 324870 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 615,9922

GCF of Fractions 615/390,9922/4998 is 41/324870

41 615, 9922
15, 242

∴ So the GCF of the given numbers is 41 = 41

Greatest Common Factor of 615,9922 By Matching Biggest Common Factor Method

Greatest Common Factor of 615,9922 By Matching Biggest Common Factor Method

Factors of 615

List of positive integer factors of 615 that divides 615 without a remainder.

1,3,5,15,41,123,205,615

Factors of 9922

List of positive integer factors of 9922 that divides 9922 without a remainder.

1,2,11,22,41,82,121,242,451,902,4961,9922

Greatest Common Factor

We found the factors 615,9922 . The biggest common factor number is the GCF number.
So the greatest common factor 615,9922 is 41.

Lets's calculate LCM of 390,4998

2 390, 4998
3 195, 2499
65, 833

∴ So the LCM of the given numbers is 2 x 3 x 65 x 833 = 324870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 41/324870

Therefore, the GCF of Fractions 615/390,9922/4998 is 41/324870

Least Common Multiple of 390,4998 with GCF Formula

Least Common Multiple of 390,4998 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 390,4998 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(390,4998) = 6

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

GCF(390,4998) x common factors =6 x 1 = 6

LCM(390,4998) = ( 390 × 4998 ) / 6

LCM(390,4998) = 1949220 / 6

LCM(390,4998) = 324870


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 615/390, 9922/4998

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 615/390, 9922/4998?

Answer: GCF of Numerators as per given numbers 615/390, 9922/4998 is

GCF of Numerators i.e. for 615,9922 is 41

LCM of denominators i.e. for 390,4998 is 324870.

Thus, GCF of Fractions is 41/324870.Finally, GCF of Fractions for 615/390, 9922/4998 is 41/324870.