Greatest Common Factor of 70/506, 719/888, 756/638

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/506, 719/888, 756/638

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 70/506,719/888,756/638

Given fractions are 70/506,719/888,756/638

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 70,719,756

Greatest Common Factor of Numerators i.e. GCF of 70,719,756 is 1 .

LCM of Denominators means LCM of 506,888,638 as per the given fractions.

LCM of 506,888,638 is 6515256 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,719,756

GCF of Fractions 70/506,719/888,756/638 is 1/6515256

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

Greatest Common Factor of 70,719,756 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,719,756 By Matching Biggest Common Factor Method

Factors of 70

List of positive integer factors of 70 that divides 70 without a remainder.

1,2,5,7,10,14,35,70

Factors of 719

List of positive integer factors of 719 that divides 719 without a remainder.

1,719

Factors of 756

List of positive integer factors of 756 that divides 756 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,27,28,36,42,54,63,84,108,126,189,252,378,756

Greatest Common Factor

We found the factors 70,719,756 . The biggest common factor number is the GCF number.
So the greatest common factor 70,719,756 is 1.

Lets's calculate LCM of 506,888,638

2 506, 888, 638
11 253, 444, 319
23, 444, 29

∴ So the LCM of the given numbers is 2 x 11 x 23 x 444 x 29 = 6515256

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6515256

Therefore, the GCF of Fractions 70/506,719/888,756/638 is 1/6515256

Least Common Multiple of 506,888,638 with GCF Formula

Least Common Multiple of 506,888,638 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 506,888,638 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(506,888,638) = 2

common factors(in case of two or more numbers have common factors) = 22

GCF(506,888,638) x common factors =2 x 22 = 44

LCM(506,888,638) = ( 506 × 888 × 638 ) / 44

LCM(506,888,638) = 286671264 / 44

LCM(506,888,638) = 6515256


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 70/506, 719/888, 756/638

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 70/506, 719/888, 756/638?

Answer: GCF of Numerators as per given numbers 70/506, 719/888, 756/638 is

GCF of Numerators i.e. for 70,719,756 is 1

LCM of denominators i.e. for 506,888,638 is 6515256.

Thus, GCF of Fractions is 1/6515256.Finally, GCF of Fractions for 70/506, 719/888, 756/638 is 1/6515256.