Greatest Common Factor of 71/213, 505/994, 788/798

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 71/213, 505/994, 788/798

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 71/213,505/994,788/798

Given fractions are 71/213,505/994,788/798

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 71,505,788

Greatest Common Factor of Numerators i.e. GCF of 71,505,788 is 1 .

LCM of Denominators means LCM of 213,994,798 as per the given fractions.

LCM of 213,994,798 is 56658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 71,505,788

GCF of Fractions 71/213,505/994,788/798 is 1/56658

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

Greatest Common Factor of 71,505,788 By Matching Biggest Common Factor Method

Greatest Common Factor of 71,505,788 By Matching Biggest Common Factor Method

Factors of 71

List of positive integer factors of 71 that divides 71 without a remainder.

1,71

Factors of 505

List of positive integer factors of 505 that divides 505 without a remainder.

1,5,101,505

Factors of 788

List of positive integer factors of 788 that divides 788 without a remainder.

1,2,4,197,394,788

Greatest Common Factor

We found the factors 71,505,788 . The biggest common factor number is the GCF number.
So the greatest common factor 71,505,788 is 1.

Lets's calculate LCM of 213,994,798

2 213, 994, 798
3 213, 497, 399
7 71, 497, 133
71 71, 71, 19
1, 1, 19

∴ So the LCM of the given numbers is 2 x 3 x 7 x 71 x 1 x 1 x 19 = 56658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/56658

Therefore, the GCF of Fractions 71/213,505/994,788/798 is 1/56658

Least Common Multiple of 213,994,798 with GCF Formula

Least Common Multiple of 213,994,798 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 213,994,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(213,994,798) = 1

common factors(in case of two or more numbers have common factors) = 2982

GCF(213,994,798) x common factors =1 x 2982 = 2982

LCM(213,994,798) = ( 213 × 994 × 798 ) / 2982

LCM(213,994,798) = 168954156 / 2982

LCM(213,994,798) = 56658


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 71/213, 505/994, 788/798

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 71/213, 505/994, 788/798?

Answer: GCF of Numerators as per given numbers 71/213, 505/994, 788/798 is

GCF of Numerators i.e. for 71,505,788 is 1

LCM of denominators i.e. for 213,994,798 is 56658.

Thus, GCF of Fractions is 1/56658.Finally, GCF of Fractions for 71/213, 505/994, 788/798 is 1/56658.