Greatest Common Factor of 765/526, 5090/118

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 765/526, 5090/118

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 765/526,5090/118

Given fractions are 765/526,5090/118

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 765,5090

Greatest Common Factor of Numerators i.e. GCF of 765,5090 is 5 .

LCM of Denominators means LCM of 526,118 as per the given fractions.

LCM of 526,118 is 31034 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 765,5090

GCF of Fractions 765/526,5090/118 is 5/31034

5 765, 5090
153, 1018

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 765,5090 By Matching Biggest Common Factor Method

Greatest Common Factor of 765,5090 By Matching Biggest Common Factor Method

Factors of 765

List of positive integer factors of 765 that divides 765 without a remainder.

1,3,5,9,15,17,45,51,85,153,255,765

Factors of 5090

List of positive integer factors of 5090 that divides 5090 without a remainder.

1,2,5,10,509,1018,2545,5090

Greatest Common Factor

We found the factors 765,5090 . The biggest common factor number is the GCF number.
So the greatest common factor 765,5090 is 5.

Lets's calculate LCM of 526,118

2 526, 118
263, 59

∴ So the LCM of the given numbers is 2 x 263 x 59 = 31034

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/31034

Therefore, the GCF of Fractions 765/526,5090/118 is 5/31034

Least Common Multiple of 526,118 with GCF Formula

Least Common Multiple of 526,118 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 526,118 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(526,118) = 2

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

GCF(526,118) x common factors =2 x 1 = 2

LCM(526,118) = ( 526 × 118 ) / 2

LCM(526,118) = 62068 / 2

LCM(526,118) = 31034


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 765/526, 5090/118

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 765/526, 5090/118?

Answer: GCF of Numerators as per given numbers 765/526, 5090/118 is

GCF of Numerators i.e. for 765,5090 is 5

LCM of denominators i.e. for 526,118 is 31034.

Thus, GCF of Fractions is 5/31034.Finally, GCF of Fractions for 765/526, 5090/118 is 5/31034.