Greatest Common Factor of 499/77, 363/26, 605/615

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 499/77, 363/26, 605/615

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 499/77,363/26,605/615

Given fractions are 499/77,363/26,605/615

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 499,363,605

Greatest Common Factor of Numerators i.e. GCF of 499,363,605 is 1 .

LCM of Denominators means LCM of 77,26,615 as per the given fractions.

LCM of 77,26,615 is 1231230 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 499,363,605

GCF of Fractions 499/77,363/26,605/615 is 1/1231230

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

Greatest Common Factor of 499,363,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 499,363,605 By Matching Biggest Common Factor Method

Factors of 499

List of positive integer factors of 499 that divides 499 without a remainder.

1,499

Factors of 363

List of positive integer factors of 363 that divides 363 without a remainder.

1,3,11,33,121,363

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 499,363,605 . The biggest common factor number is the GCF number.
So the greatest common factor 499,363,605 is 1.

Lets's calculate LCM of 77,26,615

Given numbers has no common factors except 1. So, there LCM is their product i.e 1231230

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1231230

Therefore, the GCF of Fractions 499/77,363/26,605/615 is 1/1231230

Least Common Multiple of 77,26,615 with GCF Formula

Least Common Multiple of 77,26,615 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 77,26,615 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,26,615) = 1

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

GCF(77,26,615) x common factors =1 x 1 = 1

LCM(77,26,615) = ( 77 × 26 × 615 ) / 1

LCM(77,26,615) = 1231230 / 1

LCM(77,26,615) = 1231230


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 499/77, 363/26, 605/615

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 499/77, 363/26, 605/615?

Answer: GCF of Numerators as per given numbers 499/77, 363/26, 605/615 is

GCF of Numerators i.e. for 499,363,605 is 1

LCM of denominators i.e. for 77,26,615 is 1231230.

Thus, GCF of Fractions is 1/1231230.Finally, GCF of Fractions for 499/77, 363/26, 605/615 is 1/1231230.