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GCF of 117/57, 870/331

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 117/57, 870/331 i.e 3/18867 easily. The following is the detailed procedure to determine the greatest common factor of fractions 117/57, 870/331.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 117/57,870/331?

Given fractions are 117/57,870/331

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 117/57,870/331, numerators are 117,870

Denominators are 57,331

The GCF of 117,870 is 3 .

LCM of 57,331 is 18867.

The greatest common factor of 117/57,870/331 = [GCF of 117,870]/[LCM of 57,331]= 3/18867

Therefore, the GCF of 117/57,870/331 is 3/18867.

Greatest Common Factor of 117,870

To find the highest common factor of 117,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 117 are 1, 3, 9, 13, 39, 117

The factors of 870 are 1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

The HCF of 117,870 is 3.

Lets's calculate GCF of 117,870

Greatest Common Factor (GCF) of 117,870 By Common Division

3 117, 870
39, 290

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 117,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 117,870 By Matching Biggest Common Factor Method

Now, list down the factors of 117

:

1,3,9,13,39,117

Now, list down the factors of 870

:

1,2,3,5,6,10,15,29,30,58,87,145,174,290,435,870

Greatest Common Factor

We found the factors 117,870 . The biggest common factor number is the GCF number.
So the greatest common factor 117,870 is 3.

Lets's calculate LCM of 57,331

Lowest Common Multiple of 57,331 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 18867

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/18867

Therefore, the GCF of Fractions 117/57,870/331 is 3/18867

Least Common Multiple of 57,331 with GCF Formula

Least Common Multiple of 57,331 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 57,331 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(57,331) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(57,331) x common factors =1 x 1 = 1

LCM(57,331) = ( 57 × 331 ) / 1

LCM(57,331) = 18867 / 1

LCM(57,331) = 18867


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FAQs on GCF of Fractions of 117/57, 870/331

1. What is the HCF of 117,870?

The HCF of 117,870 is 3

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 117/57, 870/331?

Answer: GCF of Numerators as per given numbers 117/57, 870/331 is

GCF of Numerators i.e. for 117,870 is 3

LCM of denominators i.e. for 57,331 is 18867.

Thus, GCF of Fractions is 3/18867.Finally, GCF of Fractions for 117/57, 870/331 is 3/18867.