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GCF of 186/424, 617/976

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 186/424, 617/976 i.e 1/51728 easily. The following is the detailed procedure to determine the greatest common factor of fractions 186/424, 617/976.

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 186/424,617/976?

Given fractions are 186/424,617/976

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 186/424,617/976, numerators are 186,617

Denominators are 424,976

The GCF of 186,617 is 1 .

LCM of 424,976 is 51728.

The greatest common factor of 186/424,617/976 = [GCF of 186,617]/[LCM of 424,976]= 1/51728

Therefore, the GCF of 186/424,617/976 is 1/51728.

Greatest Common Factor of 186,617

To find the highest common factor of 186,617, we have to find the factors of both numbers and list the highest common factor.

The factors of 186 are 1, 2, 3, 6, 31, 62, 93, 186

The factors of 617 are 1, 617

The HCF of 186,617 is 1.

Lets's calculate GCF of 186,617

Greatest Common Factor (GCF) of 186,617 By Common Division

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

Greatest Common Factor of 186,617 By Matching Biggest Common Factor Method

Greatest Common Factor of 186,617 By Matching Biggest Common Factor Method

Now, list down the factors of 186

:

1,2,3,6,31,62,93,186

Now, list down the factors of 617

:

1,617

Greatest Common Factor

We found the factors 186,617 . The biggest common factor number is the GCF number.
So the greatest common factor 186,617 is 1.

Lets's calculate LCM of 424,976

Lowest Common Multiple of 424,976 using Common Division

2 424, 976
2 212, 488
2 106, 244
53, 122

∴ So the LCM of the given numbers is 2 x 2 x 2 x 53 x 122 = 51728

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/51728

Therefore, the GCF of Fractions 186/424,617/976 is 1/51728

Least Common Multiple of 424,976 with GCF Formula

Least Common Multiple of 424,976 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 424,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(424,976) = 8

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

GCF(424,976) x common factors =8 x 1 = 8

LCM(424,976) = ( 424 × 976 ) / 8

LCM(424,976) = 413824 / 8

LCM(424,976) = 51728


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FAQs on GCF of Fractions of 186/424, 617/976

1. What is the HCF of 186,617?

The HCF of 186,617 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 186/424, 617/976?

Answer: GCF of Numerators as per given numbers 186/424, 617/976 is

GCF of Numerators i.e. for 186,617 is 1

LCM of denominators i.e. for 424,976 is 51728.

Thus, GCF of Fractions is 1/51728.Finally, GCF of Fractions for 186/424, 617/976 is 1/51728.