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GCF of 739/242, 359/866

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 739/242, 359/866 i.e 1/104786 easily. The following is the detailed procedure to determine the greatest common factor of fractions 739/242, 359/866.

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 739/242,359/866?

Given fractions are 739/242,359/866

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 739/242,359/866, numerators are 739,359

Denominators are 242,866

The GCF of 739,359 is 1 .

LCM of 242,866 is 104786.

The greatest common factor of 739/242,359/866 = [GCF of 739,359]/[LCM of 242,866]= 1/104786

Therefore, the GCF of 739/242,359/866 is 1/104786.

Greatest Common Factor of 739,359

To find the highest common factor of 739,359, we have to find the factors of both numbers and list the highest common factor.

The factors of 739 are 1, 739

The factors of 359 are 1, 359

The HCF of 739,359 is 1.

Lets's calculate GCF of 739,359

Greatest Common Factor (GCF) of 739,359 By Common Division

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

Greatest Common Factor of 739,359 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,359 By Matching Biggest Common Factor Method

Now, list down the factors of 739

:

1,739

Now, list down the factors of 359

:

1,359

Greatest Common Factor

We found the factors 739,359 . The biggest common factor number is the GCF number.
So the greatest common factor 739,359 is 1.

Lets's calculate LCM of 242,866

Lowest Common Multiple of 242,866 using Common Division

2 242, 866
121, 433

∴ So the LCM of the given numbers is 2 x 121 x 433 = 104786

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104786

Therefore, the GCF of Fractions 739/242,359/866 is 1/104786

Least Common Multiple of 242,866 with GCF Formula

Least Common Multiple of 242,866 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 242,866 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(242,866) = 2

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

GCF(242,866) x common factors =2 x 1 = 2

LCM(242,866) = ( 242 × 866 ) / 2

LCM(242,866) = 209572 / 2

LCM(242,866) = 104786


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FAQs on GCF of Fractions of 739/242, 359/866

1. What is the HCF of 739,359?

The HCF of 739,359 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 739/242, 359/866?

Answer: GCF of Numerators as per given numbers 739/242, 359/866 is

GCF of Numerators i.e. for 739,359 is 1

LCM of denominators i.e. for 242,866 is 104786.

Thus, GCF of Fractions is 1/104786.Finally, GCF of Fractions for 739/242, 359/866 is 1/104786.