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GCF of 239/289, 6491/270

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 239/289, 6491/270 i.e 1/78030 easily. The following is the detailed procedure to determine the greatest common factor of fractions 239/289, 6491/270.

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 239/289,6491/270?

Given fractions are 239/289,6491/270

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 239/289,6491/270, numerators are 239,6491

Denominators are 289,270

The GCF of 239,6491 is 1 .

LCM of 289,270 is 78030.

The greatest common factor of 239/289,6491/270 = [GCF of 239,6491]/[LCM of 289,270]= 1/78030

Therefore, the GCF of 239/289,6491/270 is 1/78030.

Greatest Common Factor of 239,6491

To find the highest common factor of 239,6491, we have to find the factors of both numbers and list the highest common factor.

The factors of 239 are 1, 239

The factors of 6491 are 1, 6491

The HCF of 239,6491 is 1.

Lets's calculate GCF of 239,6491

Greatest Common Factor (GCF) of 239,6491 By Common Division

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

Greatest Common Factor of 239,6491 By Matching Biggest Common Factor Method

Greatest Common Factor of 239,6491 By Matching Biggest Common Factor Method

Now, list down the factors of 239

:

1,239

Now, list down the factors of 6491

:

1,6491

Greatest Common Factor

We found the factors 239,6491 . The biggest common factor number is the GCF number.
So the greatest common factor 239,6491 is 1.

Lets's calculate LCM of 289,270

Lowest Common Multiple of 289,270 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 78030

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/78030

Therefore, the GCF of Fractions 239/289,6491/270 is 1/78030

Least Common Multiple of 289,270 with GCF Formula

Least Common Multiple of 289,270 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 289,270 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(289,270) = 1

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

GCF(289,270) x common factors =1 x 1 = 1

LCM(289,270) = ( 289 × 270 ) / 1

LCM(289,270) = 78030 / 1

LCM(289,270) = 78030


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FAQs on GCF of Fractions of 239/289, 6491/270

1. What is the HCF of 239,6491?

The HCF of 239,6491 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 239/289, 6491/270?

Answer: GCF of Numerators as per given numbers 239/289, 6491/270 is

GCF of Numerators i.e. for 239,6491 is 1

LCM of denominators i.e. for 289,270 is 78030.

Thus, GCF of Fractions is 1/78030.Finally, GCF of Fractions for 239/289, 6491/270 is 1/78030.