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GCF of 618/927, 607/861

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 618/927, 607/861 i.e 1/266049 easily. The following is the detailed procedure to determine the greatest common factor of fractions 618/927, 607/861.

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 618/927,607/861?

Given fractions are 618/927,607/861

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 618/927,607/861, numerators are 618,607

Denominators are 927,861

The GCF of 618,607 is 1 .

LCM of 927,861 is 266049.

The greatest common factor of 618/927,607/861 = [GCF of 618,607]/[LCM of 927,861]= 1/266049

Therefore, the GCF of 618/927,607/861 is 1/266049.

Greatest Common Factor of 618,607

To find the highest common factor of 618,607, we have to find the factors of both numbers and list the highest common factor.

The factors of 618 are 1, 2, 3, 6, 103, 206, 309, 618

The factors of 607 are 1, 607

The HCF of 618,607 is 1.

Lets's calculate GCF of 618,607

Greatest Common Factor (GCF) of 618,607 By Common Division

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

Greatest Common Factor of 618,607 By Matching Biggest Common Factor Method

Greatest Common Factor of 618,607 By Matching Biggest Common Factor Method

Now, list down the factors of 618

:

1,2,3,6,103,206,309,618

Now, list down the factors of 607

:

1,607

Greatest Common Factor

We found the factors 618,607 . The biggest common factor number is the GCF number.
So the greatest common factor 618,607 is 1.

Lets's calculate LCM of 927,861

Lowest Common Multiple of 927,861 using Common Division

3 927, 861
309, 287

∴ So the LCM of the given numbers is 3 x 309 x 287 = 266049

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/266049

Therefore, the GCF of Fractions 618/927,607/861 is 1/266049

Least Common Multiple of 927,861 with GCF Formula

Least Common Multiple of 927,861 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 927,861 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(927,861) = 3

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

GCF(927,861) x common factors =3 x 1 = 3

LCM(927,861) = ( 927 × 861 ) / 3

LCM(927,861) = 798147 / 3

LCM(927,861) = 266049


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FAQs on GCF of Fractions of 618/927, 607/861

1. What is the HCF of 618,607?

The HCF of 618,607 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 618/927, 607/861?

Answer: GCF of Numerators as per given numbers 618/927, 607/861 is

GCF of Numerators i.e. for 618,607 is 1

LCM of denominators i.e. for 927,861 is 266049.

Thus, GCF of Fractions is 1/266049.Finally, GCF of Fractions for 618/927, 607/861 is 1/266049.