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GCF of 668/25, 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 668/25, 870/339 i.e 2/8475 easily. The following is the detailed procedure to determine the greatest common factor of fractions 668/25, 870/339.

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 668/25,870/339?

Given fractions are 668/25,870/339

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 668/25,870/339, numerators are 668,870

Denominators are 25,339

The GCF of 668,870 is 2 .

LCM of 25,339 is 8475.

The greatest common factor of 668/25,870/339 = [GCF of 668,870]/[LCM of 25,339]= 2/8475

Therefore, the GCF of 668/25,870/339 is 2/8475.

Greatest Common Factor of 668,870

To find the highest common factor of 668,870, we have to find the factors of both numbers and list the highest common factor.

The factors of 668 are 1, 2, 4, 167, 334, 668

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

The HCF of 668,870 is 2.

Lets's calculate GCF of 668,870

Greatest Common Factor (GCF) of 668,870 By Common Division

2 668, 870
334, 435

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 668,870 By Matching Biggest Common Factor Method

Greatest Common Factor of 668,870 By Matching Biggest Common Factor Method

Now, list down the factors of 668

:

1,2,4,167,334,668

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 668,870 . The biggest common factor number is the GCF number.
So the greatest common factor 668,870 is 2.

Lets's calculate LCM of 25,339

Lowest Common Multiple of 25,339 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8475

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8475

Therefore, the GCF of Fractions 668/25,870/339 is 2/8475

Least Common Multiple of 25,339 with GCF Formula

Least Common Multiple of 25,339 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 25,339 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(25,339) = 1

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

GCF(25,339) x common factors =1 x 1 = 1

LCM(25,339) = ( 25 × 339 ) / 1

LCM(25,339) = 8475 / 1

LCM(25,339) = 8475


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FAQs on GCF of Fractions of 668/25, 870/339

1. What is the HCF of 668,870?

The HCF of 668,870 is 2

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 668/25, 870/339?

Answer: GCF of Numerators as per given numbers 668/25, 870/339 is

GCF of Numerators i.e. for 668,870 is 2

LCM of denominators i.e. for 25,339 is 8475.

Thus, GCF of Fractions is 2/8475.Finally, GCF of Fractions for 668/25, 870/339 is 2/8475.