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GCF of 246/480, 2089/786

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 246/480, 2089/786 i.e 1/62880 easily. The following is the detailed procedure to determine the greatest common factor of fractions 246/480, 2089/786.

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 246/480,2089/786?

Given fractions are 246/480,2089/786

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 246/480,2089/786, numerators are 246,2089

Denominators are 480,786

The GCF of 246,2089 is 1 .

LCM of 480,786 is 62880.

The greatest common factor of 246/480,2089/786 = [GCF of 246,2089]/[LCM of 480,786]= 1/62880

Therefore, the GCF of 246/480,2089/786 is 1/62880.

Greatest Common Factor of 246,2089

To find the highest common factor of 246,2089, 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 2089 are 1, 2089

The HCF of 246,2089 is 1.

Lets's calculate GCF of 246,2089

Greatest Common Factor (GCF) of 246,2089 By Common Division

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

Greatest Common Factor of 246,2089 By Matching Biggest Common Factor Method

Greatest Common Factor of 246,2089 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 2089

:

1,2089

Greatest Common Factor

We found the factors 246,2089 . The biggest common factor number is the GCF number.
So the greatest common factor 246,2089 is 1.

Lets's calculate LCM of 480,786

Lowest Common Multiple of 480,786 using Common Division

2 480, 786
3 240, 393
80, 131

∴ So the LCM of the given numbers is 2 x 3 x 80 x 131 = 62880

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/62880

Therefore, the GCF of Fractions 246/480,2089/786 is 1/62880

Least Common Multiple of 480,786 with GCF Formula

Least Common Multiple of 480,786 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 480,786 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(480,786) = 6

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

GCF(480,786) x common factors =6 x 1 = 6

LCM(480,786) = ( 480 × 786 ) / 6

LCM(480,786) = 377280 / 6

LCM(480,786) = 62880


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FAQs on GCF of Fractions of 246/480, 2089/786

1. What is the HCF of 246,2089?

The HCF of 246,2089 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 246/480, 2089/786?

Answer: GCF of Numerators as per given numbers 246/480, 2089/786 is

GCF of Numerators i.e. for 246,2089 is 1

LCM of denominators i.e. for 480,786 is 62880.

Thus, GCF of Fractions is 1/62880.Finally, GCF of Fractions for 246/480, 2089/786 is 1/62880.