Greatest Common Factor of 55/10, 84/80, 499/715

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 55/10, 84/80, 499/715

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 55/10,84/80,499/715

Given fractions are 55/10,84/80,499/715

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 55,84,499

Greatest Common Factor of Numerators i.e. GCF of 55,84,499 is 1 .

LCM of Denominators means LCM of 10,80,715 as per the given fractions.

LCM of 10,80,715 is 11440 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 55,84,499

GCF of Fractions 55/10,84/80,499/715 is 1/11440

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

Greatest Common Factor of 55,84,499 By Matching Biggest Common Factor Method

Greatest Common Factor of 55,84,499 By Matching Biggest Common Factor Method

Factors of 55

List of positive integer factors of 55 that divides 55 without a remainder.

1,5,11,55

Factors of 84

List of positive integer factors of 84 that divides 84 without a remainder.

1,2,3,4,6,7,12,14,21,28,42,84

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 55,84,499 . The biggest common factor number is the GCF number.
So the greatest common factor 55,84,499 is 1.

Lets's calculate LCM of 10,80,715

2 10, 80, 715
5 5, 40, 715
1, 8, 143

∴ So the LCM of the given numbers is 2 x 5 x 1 x 8 x 143 = 11440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/11440

Therefore, the GCF of Fractions 55/10,84/80,499/715 is 1/11440

Least Common Multiple of 10,80,715 with GCF Formula

Least Common Multiple of 10,80,715 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 10,80,715 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(10,80,715) = 5

common factors(in case of two or more numbers have common factors) = 10

GCF(10,80,715) x common factors =5 x 10 = 50

LCM(10,80,715) = ( 10 × 80 × 715 ) / 50

LCM(10,80,715) = 572000 / 50

LCM(10,80,715) = 11440


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 55/10, 84/80, 499/715

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 55/10, 84/80, 499/715?

Answer: GCF of Numerators as per given numbers 55/10, 84/80, 499/715 is

GCF of Numerators i.e. for 55,84,499 is 1

LCM of denominators i.e. for 10,80,715 is 11440.

Thus, GCF of Fractions is 1/11440.Finally, GCF of Fractions for 55/10, 84/80, 499/715 is 1/11440.