Greatest Common Factor of 760/66, 722/26, 950/775

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 760/66, 722/26, 950/775

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 760/66,722/26,950/775

Given fractions are 760/66,722/26,950/775

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 760,722,950

Greatest Common Factor of Numerators i.e. GCF of 760,722,950 is 38 .

LCM of Denominators means LCM of 66,26,775 as per the given fractions.

LCM of 66,26,775 is 664950 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 760,722,950

GCF of Fractions 760/66,722/26,950/775 is 38/664950

2 760, 722, 950
19 380, 361, 475
20, 19, 25

∴ So the GCF of the given numbers is 2 x 19 = 38

Greatest Common Factor of 760,722,950 By Matching Biggest Common Factor Method

Greatest Common Factor of 760,722,950 By Matching Biggest Common Factor Method

Factors of 760

List of positive integer factors of 760 that divides 760 without a remainder.

1,2,4,5,8,10,19,20,38,40,76,95,152,190,380,760

Factors of 722

List of positive integer factors of 722 that divides 722 without a remainder.

1,2,19,38,361,722

Factors of 950

List of positive integer factors of 950 that divides 950 without a remainder.

1,2,5,10,19,25,38,50,95,190,475,950

Greatest Common Factor

We found the factors 760,722,950 . The biggest common factor number is the GCF number.
So the greatest common factor 760,722,950 is 38.

Lets's calculate LCM of 66,26,775

2 66, 26, 775
33, 13, 775

∴ So the LCM of the given numbers is 2 x 33 x 13 x 775 = 664950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 38/664950

Therefore, the GCF of Fractions 760/66,722/26,950/775 is 38/664950

Least Common Multiple of 66,26,775 with GCF Formula

Least Common Multiple of 66,26,775 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 66,26,775 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(66,26,775) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(66,26,775) x common factors =1 x 2 = 2

LCM(66,26,775) = ( 66 × 26 × 775 ) / 2

LCM(66,26,775) = 1329900 / 2

LCM(66,26,775) = 664950


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 760/66, 722/26, 950/775

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 760/66, 722/26, 950/775?

Answer: GCF of Numerators as per given numbers 760/66, 722/26, 950/775 is

GCF of Numerators i.e. for 760,722,950 is 38

LCM of denominators i.e. for 66,26,775 is 664950.

Thus, GCF of Fractions is 38/664950.Finally, GCF of Fractions for 760/66, 722/26, 950/775 is 38/664950.