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GCF of 656/23, 839/8959

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 656/23, 839/8959 i.e 1/206057 easily. The following is the detailed procedure to determine the greatest common factor of fractions 656/23, 839/8959.

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 656/23,839/8959?

Given fractions are 656/23,839/8959

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 656/23,839/8959, numerators are 656,839

Denominators are 23,8959

The GCF of 656,839 is 1 .

LCM of 23,8959 is 206057.

The greatest common factor of 656/23,839/8959 = [GCF of 656,839]/[LCM of 23,8959]= 1/206057

Therefore, the GCF of 656/23,839/8959 is 1/206057.

Greatest Common Factor of 656,839

To find the highest common factor of 656,839, we have to find the factors of both numbers and list the highest common factor.

The factors of 656 are 1, 2, 4, 8, 16, 41, 82, 164, 328, 656

The factors of 839 are 1, 839

The HCF of 656,839 is 1.

Lets's calculate GCF of 656,839

Greatest Common Factor (GCF) of 656,839 By Common Division

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

Greatest Common Factor of 656,839 By Matching Biggest Common Factor Method

Greatest Common Factor of 656,839 By Matching Biggest Common Factor Method

Now, list down the factors of 656

:

1,2,4,8,16,41,82,164,328,656

Now, list down the factors of 839

:

1,839

Greatest Common Factor

We found the factors 656,839 . The biggest common factor number is the GCF number.
So the greatest common factor 656,839 is 1.

Lets's calculate LCM of 23,8959

Lowest Common Multiple of 23,8959 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 206057

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206057

Therefore, the GCF of Fractions 656/23,839/8959 is 1/206057

Least Common Multiple of 23,8959 with GCF Formula

Least Common Multiple of 23,8959 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 23,8959 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,8959) = 1

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

GCF(23,8959) x common factors =1 x 1 = 1

LCM(23,8959) = ( 23 × 8959 ) / 1

LCM(23,8959) = 206057 / 1

LCM(23,8959) = 206057


GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 656/23, 839/8959

1. What is the HCF of 656,839?

The HCF of 656,839 is 1

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 656/23, 839/8959?

Answer: GCF of Numerators as per given numbers 656/23, 839/8959 is

GCF of Numerators i.e. for 656,839 is 1

LCM of denominators i.e. for 23,8959 is 206057.

Thus, GCF of Fractions is 1/206057.Finally, GCF of Fractions for 656/23, 839/8959 is 1/206057.