Greatest Common Factor of 790/615, 657/705

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 790/615, 657/705

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 790/615,657/705

Given fractions are 790/615,657/705

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 790,657

Greatest Common Factor of Numerators i.e. GCF of 790,657 is 1 .

LCM of Denominators means LCM of 615,705 as per the given fractions.

LCM of 615,705 is 28905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 790,657

GCF of Fractions 790/615,657/705 is 1/28905

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

Greatest Common Factor of 790,657 By Matching Biggest Common Factor Method

Greatest Common Factor of 790,657 By Matching Biggest Common Factor Method

Factors of 790

List of positive integer factors of 790 that divides 790 without a remainder.

1,2,5,10,79,158,395,790

Factors of 657

List of positive integer factors of 657 that divides 657 without a remainder.

1,3,9,73,219,657

Greatest Common Factor

We found the factors 790,657 . The biggest common factor number is the GCF number.
So the greatest common factor 790,657 is 1.

Lets's calculate LCM of 615,705

3 615, 705
5 205, 235
41, 47

∴ So the LCM of the given numbers is 3 x 5 x 41 x 47 = 28905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28905

Therefore, the GCF of Fractions 790/615,657/705 is 1/28905

Least Common Multiple of 615,705 with GCF Formula

Least Common Multiple of 615,705 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 615,705 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(615,705) = 15

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

GCF(615,705) x common factors =15 x 1 = 15

LCM(615,705) = ( 615 × 705 ) / 15

LCM(615,705) = 433575 / 15

LCM(615,705) = 28905


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 790/615, 657/705

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 790/615, 657/705?

Answer: GCF of Numerators as per given numbers 790/615, 657/705 is

GCF of Numerators i.e. for 790,657 is 1

LCM of denominators i.e. for 615,705 is 28905.

Thus, GCF of Fractions is 1/28905.Finally, GCF of Fractions for 790/615, 657/705 is 1/28905.