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GCF of 5909/464, 5855/976

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 5909/464, 5855/976 i.e 1/28304 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5909/464, 5855/976.

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 5909/464,5855/976?

Given fractions are 5909/464,5855/976

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 5909/464,5855/976, numerators are 5909,5855

Denominators are 464,976

The GCF of 5909,5855 is 1 .

LCM of 464,976 is 28304.

The greatest common factor of 5909/464,5855/976 = [GCF of 5909,5855]/[LCM of 464,976]= 1/28304

Therefore, the GCF of 5909/464,5855/976 is 1/28304.

Greatest Common Factor of 5909,5855

To find the highest common factor of 5909,5855, we have to find the factors of both numbers and list the highest common factor.

The factors of 5909 are 1, 19, 311, 5909

The factors of 5855 are 1, 5, 1171, 5855

The HCF of 5909,5855 is 1.

Lets's calculate GCF of 5909,5855

Greatest Common Factor (GCF) of 5909,5855 By Common Division

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

Greatest Common Factor of 5909,5855 By Matching Biggest Common Factor Method

Greatest Common Factor of 5909,5855 By Matching Biggest Common Factor Method

Now, list down the factors of 5909

:

1,19,311,5909

Now, list down the factors of 5855

:

1,5,1171,5855

Greatest Common Factor

We found the factors 5909,5855 . The biggest common factor number is the GCF number.
So the greatest common factor 5909,5855 is 1.

Lets's calculate LCM of 464,976

Lowest Common Multiple of 464,976 using Common Division

2 464, 976
2 232, 488
2 116, 244
2 58, 122
29, 61

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 29 x 61 = 28304

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/28304

Therefore, the GCF of Fractions 5909/464,5855/976 is 1/28304

Least Common Multiple of 464,976 with GCF Formula

Least Common Multiple of 464,976 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 464,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(464,976) = 16

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

GCF(464,976) x common factors =16 x 1 = 16

LCM(464,976) = ( 464 × 976 ) / 16

LCM(464,976) = 452864 / 16

LCM(464,976) = 28304


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FAQs on GCF of Fractions of 5909/464, 5855/976

1. What is the HCF of 5909,5855?

The HCF of 5909,5855 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 5909/464, 5855/976?

Answer: GCF of Numerators as per given numbers 5909/464, 5855/976 is

GCF of Numerators i.e. for 5909,5855 is 1

LCM of denominators i.e. for 464,976 is 28304.

Thus, GCF of Fractions is 1/28304.Finally, GCF of Fractions for 5909/464, 5855/976 is 1/28304.