Greatest Common Factor of 270/77, 814/47, 499/61

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 270/77, 814/47, 499/61

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 270/77,814/47,499/61

Given fractions are 270/77,814/47,499/61

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 270,814,499

Greatest Common Factor of Numerators i.e. GCF of 270,814,499 is 1 .

LCM of Denominators means LCM of 77,47,61 as per the given fractions.

LCM of 77,47,61 is 220759 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 270,814,499

GCF of Fractions 270/77,814/47,499/61 is 1/220759

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

Greatest Common Factor of 270,814,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 270,814,499 By Matching Biggest Common Factor Method

Factors of 270

List of positive integer factors of 270 that divides 270 without a remainder.

1,2,3,5,6,9,10,15,18,27,30,45,54,90,135,270

Factors of 814

List of positive integer factors of 814 that divides 814 without a remainder.

1,2,11,22,37,74,407,814

Factors of 499

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

1,499

Greatest Common Factor

We found the factors 270,814,499 . The biggest common factor number is the GCF number.
So the greatest common factor 270,814,499 is 1.

Lets's calculate LCM of 77,47,61

Given numbers has no common factors except 1. So, there LCM is their product i.e 220759

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/220759

Therefore, the GCF of Fractions 270/77,814/47,499/61 is 1/220759

Least Common Multiple of 77,47,61 with GCF Formula

Least Common Multiple of 77,47,61 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 77,47,61 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,47,61) = 1

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

GCF(77,47,61) x common factors =1 x 1 = 1

LCM(77,47,61) = ( 77 × 47 × 61 ) / 1

LCM(77,47,61) = 220759 / 1

LCM(77,47,61) = 220759


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 270/77, 814/47, 499/61

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 270/77, 814/47, 499/61?

Answer: GCF of Numerators as per given numbers 270/77, 814/47, 499/61 is

GCF of Numerators i.e. for 270,814,499 is 1

LCM of denominators i.e. for 77,47,61 is 220759.

Thus, GCF of Fractions is 1/220759.Finally, GCF of Fractions for 270/77, 814/47, 499/61 is 1/220759.