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GCF of 246/359, 618/810

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 246/359, 618/810 i.e 6/290790 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/359, 618/810.

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 246/359,618/810?

Given fractions are 246/359,618/810

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 246/359,618/810, numerators are 246,618

Denominators are 359,810

The GCF of 246,618 is 6 .

LCM of 359,810 is 290790.

The greatest common factor of 246/359,618/810 = [GCF of 246,618]/[LCM of 359,810]= 6/290790

Therefore, the GCF of 246/359,618/810 is 6/290790.

Greatest Common Factor of 246,618

To find the highest common factor of 246,618, we have to find the factors of both numbers and list the highest common factor.

The factors of 246 are 1, 2, 3, 6, 41, 82, 123, 246

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

The HCF of 246,618 is 6.

Lets's calculate GCF of 246,618

Greatest Common Factor (GCF) of 246,618 By Common Division

2 246, 618
3 123, 309
41, 103

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 246,618 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,618 By Matching Biggest Common Factor Method

Now, list down the factors of 246

:

1,2,3,6,41,82,123,246

Now, list down the factors of 618

:

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

Greatest Common Factor

We found the factors 246,618 . The biggest common factor number is the GCF number.
So the greatest common factor 246,618 is 6.

Lets's calculate LCM of 359,810

Lowest Common Multiple of 359,810 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 290790

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/290790

Therefore, the GCF of Fractions 246/359,618/810 is 6/290790

Least Common Multiple of 359,810 with GCF Formula

Least Common Multiple of 359,810 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 359,810 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(359,810) = 1

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

GCF(359,810) x common factors =1 x 1 = 1

LCM(359,810) = ( 359 × 810 ) / 1

LCM(359,810) = 290790 / 1

LCM(359,810) = 290790


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FAQs on GCF of Fractions of 246/359, 618/810

1. What is the HCF of 246,618?

The HCF of 246,618 is 6

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 246/359, 618/810?

Answer: GCF of Numerators as per given numbers 246/359, 618/810 is

GCF of Numerators i.e. for 246,618 is 6

LCM of denominators i.e. for 359,810 is 290790.

Thus, GCF of Fractions is 6/290790.Finally, GCF of Fractions for 246/359, 618/810 is 6/290790.