Greatest Common Factor of 9/75, 17/81, 70/811, 253/780

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9/75, 17/81, 70/811, 253/780

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 9/75,17/81,70/811,253/780

Given fractions are 9/75,17/81,70/811,253/780

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 9,17,70,253

Greatest Common Factor of Numerators i.e. GCF of 9,17,70,253 is 1 .

LCM of Denominators means LCM of 75,81,811,780 as per the given fractions.

LCM of 75,81,811,780 is 85398300 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9,17,70,253

GCF of Fractions 9/75,17/81,70/811,253/780 is 1/85398300

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

Greatest Common Factor of 9,17,70,253 By Matching Biggest Common Factor Method

Greatest Common Factor of 9,17,70,253 By Matching Biggest Common Factor Method

Factors of 9

List of positive integer factors of 9 that divides 9 without a remainder.

1,3,9

Factors of 17

List of positive integer factors of 17 that divides 17 without a remainder.

1,17

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 253

List of positive integer factors of 253 that divides 253 without a remainder.

1,11,23,253

Greatest Common Factor

We found the factors 9,17,70,253 . The biggest common factor number is the GCF number.
So the greatest common factor 9,17,70,253 is 1.

Lets's calculate LCM of 75,81,811,780

3 75, 81, 811, 780
5 25, 27, 811, 260
5, 27, 811, 52

∴ So the LCM of the given numbers is 3 x 5 x 5 x 27 x 811 x 52 = 85398300

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/85398300

Therefore, the GCF of Fractions 9/75,17/81,70/811,253/780 is 1/85398300

Least Common Multiple of 75,81,811,780 with GCF Formula

Least Common Multiple of 75,81,811,780 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 75,81,811,780 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,81,811,780) = 1

common factors(in case of two or more numbers have common factors) = 45

GCF(75,81,811,780) x common factors =1 x 45 = 45

LCM(75,81,811,780) = ( 75 × 81 × 811 × 780 ) / 45

LCM(75,81,811,780) = 3842923500 / 45

LCM(75,81,811,780) = 85398300


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 9/75, 17/81, 70/811, 253/780

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 9/75, 17/81, 70/811, 253/780?

Answer: GCF of Numerators as per given numbers 9/75, 17/81, 70/811, 253/780 is

GCF of Numerators i.e. for 9,17,70,253 is 1

LCM of denominators i.e. for 75,81,811,780 is 85398300.

Thus, GCF of Fractions is 1/85398300.Finally, GCF of Fractions for 9/75, 17/81, 70/811, 253/780 is 1/85398300.