Greatest Common Factor of 90/615, 855/498, 780/717

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 90/615, 855/498, 780/717

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 90/615,855/498,780/717

Given fractions are 90/615,855/498,780/717

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 90,855,780

Greatest Common Factor of Numerators i.e. GCF of 90,855,780 is 15 .

LCM of Denominators means LCM of 615,498,717 as per the given fractions.

LCM of 615,498,717 is 24399510 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 90,855,780

GCF of Fractions 90/615,855/498,780/717 is 15/24399510

3 90, 855, 780
5 30, 285, 260
6, 57, 52

∴ So the GCF of the given numbers is 3 x 5 = 15

Greatest Common Factor of 90,855,780 By Matching Biggest Common Factor Method

Greatest Common Factor of 90,855,780 By Matching Biggest Common Factor Method

Factors of 90

List of positive integer factors of 90 that divides 90 without a remainder.

1,2,3,5,6,9,10,15,18,30,45,90

Factors of 855

List of positive integer factors of 855 that divides 855 without a remainder.

1,3,5,9,15,19,45,57,95,171,285,855

Factors of 780

List of positive integer factors of 780 that divides 780 without a remainder.

1,2,3,4,5,6,10,12,13,15,20,26,30,39,52,60,65,78,130,156,195,260,390,780

Greatest Common Factor

We found the factors 90,855,780 . The biggest common factor number is the GCF number.
So the greatest common factor 90,855,780 is 15.

Lets's calculate LCM of 615,498,717

3 615, 498, 717
205, 166, 239

∴ So the LCM of the given numbers is 3 x 205 x 166 x 239 = 24399510

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/24399510

Therefore, the GCF of Fractions 90/615,855/498,780/717 is 15/24399510

Least Common Multiple of 615,498,717 with GCF Formula

Least Common Multiple of 615,498,717 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 615,498,717 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,498,717) = 3

common factors(in case of two or more numbers have common factors) = 3

GCF(615,498,717) x common factors =3 x 3 = 9

LCM(615,498,717) = ( 615 × 498 × 717 ) / 9

LCM(615,498,717) = 219595590 / 9

LCM(615,498,717) = 24399510


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 90/615, 855/498, 780/717

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 90/615, 855/498, 780/717?

Answer: GCF of Numerators as per given numbers 90/615, 855/498, 780/717 is

GCF of Numerators i.e. for 90,855,780 is 15

LCM of denominators i.e. for 615,498,717 is 24399510.

Thus, GCF of Fractions is 15/24399510.Finally, GCF of Fractions for 90/615, 855/498, 780/717 is 15/24399510.