Greatest Common Factor of 70/75, 37/55, 289/578

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 70/75, 37/55, 289/578

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 70/75,37/55,289/578

Given fractions are 70/75,37/55,289/578

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 70,37,289

Greatest Common Factor of Numerators i.e. GCF of 70,37,289 is 1 .

LCM of Denominators means LCM of 75,55,578 as per the given fractions.

LCM of 75,55,578 is 476850 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 70,37,289

GCF of Fractions 70/75,37/55,289/578 is 1/476850

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

Greatest Common Factor of 70,37,289 By Matching Biggest Common Factor Method

Greatest Common Factor of 70,37,289 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 37

List of positive integer factors of 37 that divides 37 without a remainder.

1,37

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Greatest Common Factor

We found the factors 70,37,289 . The biggest common factor number is the GCF number.
So the greatest common factor 70,37,289 is 1.

Lets's calculate LCM of 75,55,578

5 75, 55, 578
15, 11, 578

∴ So the LCM of the given numbers is 5 x 15 x 11 x 578 = 476850

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/476850

Therefore, the GCF of Fractions 70/75,37/55,289/578 is 1/476850

Least Common Multiple of 75,55,578 with GCF Formula

Least Common Multiple of 75,55,578 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 75,55,578 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(75,55,578) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(75,55,578) x common factors =1 x 5 = 5

LCM(75,55,578) = ( 75 × 55 × 578 ) / 5

LCM(75,55,578) = 2384250 / 5

LCM(75,55,578) = 476850


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 70/75, 37/55, 289/578

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 70/75, 37/55, 289/578?

Answer: GCF of Numerators as per given numbers 70/75, 37/55, 289/578 is

GCF of Numerators i.e. for 70,37,289 is 1

LCM of denominators i.e. for 75,55,578 is 476850.

Thus, GCF of Fractions is 1/476850.Finally, GCF of Fractions for 70/75, 37/55, 289/578 is 1/476850.