How to Find GCF of 940/261, 870/339?

GCF of 940/261, 870/339

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 940/261, 870/339 i.e 10/29493 easily. The following is the detailed procedure to determine the greatest common factor of fractions 940/261, 870/339.

Enter two or more fractions separated by "commas"

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

What is the GCF of 940/261,870/339?

Given fractions are 940/261,870/339

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 940/261,870/339, numerators are 940,870

Denominators are 261,339

The GCF of 940,870 is 10 .

LCM of 261,339 is 29493.

The greatest common factor of 940/261,870/339 = [GCF of 940,870]/[LCM of 261,339]= 10/29493

Therefore, the GCF of 940/261,870/339 is 10/29493.

Greatest Common Factor of 940,870

To find the highest common factor of 940,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 940 are 1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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

The HCF of 940,870 is 10.

Lets's calculate GCF of 940,870

Greatest Common Factor (GCF) of 940,870 By Common Division

2	940, 870
5	470, 435
	94, 87

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 940,870 By Matching Biggest Common Factor Method

Now, list down the factors of 940

1,2,4,5,10,20,47,94,188,235,470,940

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 940,870 . The biggest common factor number is the GCF number.
So the greatest common factor 940,870 is 10.

Lets's calculate LCM of 261,339

Lowest Common Multiple of 261,339 using Common Division

3	261, 339
	87, 113

∴ So the LCM of the given numbers is 3 x 87 x 113 = 29493

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/29493

Therefore, the GCF of Fractions 940/261,870/339 is 10/29493

Least Common Multiple of 261,339 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 261,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(261,339) = 3

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

GCF(261,339) x common factors =3 x 1 = 3

LCM(261,339) = ( 261 × 339 ) / 3

LCM(261,339) = 88479 / 3

LCM(261,339) = 29493

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FAQs on GCF of Fractions of 940/261, 870/339

1. What is the HCF of 940,870?

The HCF of 940,870 is 10

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 940/261, 870/339?

Answer: GCF of Numerators as per given numbers 940/261, 870/339 is

GCF of Numerators i.e. for 940,870 is 10

LCM of denominators i.e. for 261,339 is 29493.

Thus, GCF of Fractions is 10/29493.Finally, GCF of Fractions for 940/261, 870/339 is 10/29493.