Greatest Common Factor of 7/59, 69/59, 94/975, 455/806

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7/59, 69/59, 94/975, 455/806

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 7/59,69/59,94/975,455/806

Given fractions are 7/59,69/59,94/975,455/806

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 7,69,94,455

Greatest Common Factor of Numerators i.e. GCF of 7,69,94,455 is 1 .

LCM of Denominators means LCM of 59,59,975,806 as per the given fractions.

LCM of 59,59,975,806 is 3566550 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7,69,94,455

GCF of Fractions 7/59,69/59,94/975,455/806 is 1/3566550

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

Greatest Common Factor of 7,69,94,455 By Matching Biggest Common Factor Method

Greatest Common Factor of 7,69,94,455 By Matching Biggest Common Factor Method

Factors of 7

List of positive integer factors of 7 that divides 7 without a remainder.

1,7

Factors of 69

List of positive integer factors of 69 that divides 69 without a remainder.

1,3,23,69

Factors of 94

List of positive integer factors of 94 that divides 94 without a remainder.

1,2,47,94

Factors of 455

List of positive integer factors of 455 that divides 455 without a remainder.

1,5,7,13,35,65,91,455

Greatest Common Factor

We found the factors 7,69,94,455 . The biggest common factor number is the GCF number.
So the greatest common factor 7,69,94,455 is 1.

Lets's calculate LCM of 59,59,975,806

13 59, 59, 975, 806
59 59, 59, 75, 62
1, 1, 75, 62

∴ So the LCM of the given numbers is 13 x 59 x 1 x 1 x 75 x 62 = 3566550

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3566550

Therefore, the GCF of Fractions 7/59,69/59,94/975,455/806 is 1/3566550

Least Common Multiple of 59,59,975,806 with GCF Formula

Least Common Multiple of 59,59,975,806 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 59,59,975,806 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(59,59,975,806) = 1

common factors(in case of two or more numbers have common factors) = 767

GCF(59,59,975,806) x common factors =1 x 767 = 767

LCM(59,59,975,806) = ( 59 × 59 × 975 × 806 ) / 767

LCM(59,59,975,806) = 2735543850 / 767

LCM(59,59,975,806) = 3566550


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 7/59, 69/59, 94/975, 455/806

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 7/59, 69/59, 94/975, 455/806?

Answer: GCF of Numerators as per given numbers 7/59, 69/59, 94/975, 455/806 is

GCF of Numerators i.e. for 7,69,94,455 is 1

LCM of denominators i.e. for 59,59,975,806 is 3566550.

Thus, GCF of Fractions is 1/3566550.Finally, GCF of Fractions for 7/59, 69/59, 94/975, 455/806 is 1/3566550.