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GCF of 648/286, 3061/674

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 648/286, 3061/674 i.e 1/96382 easily. The following is the detailed procedure to determine the greatest common factor of fractions 648/286, 3061/674.

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 648/286,3061/674?

Given fractions are 648/286,3061/674

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 648/286,3061/674, numerators are 648,3061

Denominators are 286,674

The GCF of 648,3061 is 1 .

LCM of 286,674 is 96382.

The greatest common factor of 648/286,3061/674 = [GCF of 648,3061]/[LCM of 286,674]= 1/96382

Therefore, the GCF of 648/286,3061/674 is 1/96382.

Greatest Common Factor of 648,3061

To find the highest common factor of 648,3061, we have to find the factors of both numbers and list the highest common factor.

The factors of 648 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648

The factors of 3061 are 1, 3061

The HCF of 648,3061 is 1.

Lets's calculate GCF of 648,3061

Greatest Common Factor (GCF) of 648,3061 By Common Division

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

Greatest Common Factor of 648,3061 By Matching Biggest Common Factor Method

Greatest Common Factor of 648,3061 By Matching Biggest Common Factor Method

Now, list down the factors of 648

:

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Now, list down the factors of 3061

:

1,3061

Greatest Common Factor

We found the factors 648,3061 . The biggest common factor number is the GCF number.
So the greatest common factor 648,3061 is 1.

Lets's calculate LCM of 286,674

Lowest Common Multiple of 286,674 using Common Division

2 286, 674
143, 337

∴ So the LCM of the given numbers is 2 x 143 x 337 = 96382

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/96382

Therefore, the GCF of Fractions 648/286,3061/674 is 1/96382

Least Common Multiple of 286,674 with GCF Formula

Least Common Multiple of 286,674 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 286,674 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(286,674) = 2

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

GCF(286,674) x common factors =2 x 1 = 2

LCM(286,674) = ( 286 × 674 ) / 2

LCM(286,674) = 192764 / 2

LCM(286,674) = 96382


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FAQs on GCF of Fractions of 648/286, 3061/674

1. What is the HCF of 648,3061?

The HCF of 648,3061 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 648/286, 3061/674?

Answer: GCF of Numerators as per given numbers 648/286, 3061/674 is

GCF of Numerators i.e. for 648,3061 is 1

LCM of denominators i.e. for 286,674 is 96382.

Thus, GCF of Fractions is 1/96382.Finally, GCF of Fractions for 648/286, 3061/674 is 1/96382.