Greatest Common Factor of 791/67, 224/26, 515/267

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 791/67, 224/26, 515/267

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 791/67,224/26,515/267

Given fractions are 791/67,224/26,515/267

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 791,224,515

Greatest Common Factor of Numerators i.e. GCF of 791,224,515 is 1 .

LCM of Denominators means LCM of 67,26,267 as per the given fractions.

LCM of 67,26,267 is 465114 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 791,224,515

GCF of Fractions 791/67,224/26,515/267 is 1/465114

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

Greatest Common Factor of 791,224,515 By Matching Biggest Common Factor Method

Greatest Common Factor of 791,224,515 By Matching Biggest Common Factor Method

Factors of 791

List of positive integer factors of 791 that divides 791 without a remainder.

1,7,113,791

Factors of 224

List of positive integer factors of 224 that divides 224 without a remainder.

1,2,4,7,8,14,16,28,32,56,112,224

Factors of 515

List of positive integer factors of 515 that divides 515 without a remainder.

1,5,103,515

Greatest Common Factor

We found the factors 791,224,515 . The biggest common factor number is the GCF number.
So the greatest common factor 791,224,515 is 1.

Lets's calculate LCM of 67,26,267

Given numbers has no common factors except 1. So, there LCM is their product i.e 465114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/465114

Therefore, the GCF of Fractions 791/67,224/26,515/267 is 1/465114

Least Common Multiple of 67,26,267 with GCF Formula

Least Common Multiple of 67,26,267 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 67,26,267 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(67,26,267) = 1

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

GCF(67,26,267) x common factors =1 x 1 = 1

LCM(67,26,267) = ( 67 × 26 × 267 ) / 1

LCM(67,26,267) = 465114 / 1

LCM(67,26,267) = 465114


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 791/67, 224/26, 515/267

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 791/67, 224/26, 515/267?

Answer: GCF of Numerators as per given numbers 791/67, 224/26, 515/267 is

GCF of Numerators i.e. for 791,224,515 is 1

LCM of denominators i.e. for 67,26,267 is 465114.

Thus, GCF of Fractions is 1/465114.Finally, GCF of Fractions for 791/67, 224/26, 515/267 is 1/465114.