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GCF of 2489/466, 4139/158

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 2489/466, 4139/158 i.e 1/36814 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2489/466, 4139/158.

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 2489/466,4139/158?

Given fractions are 2489/466,4139/158

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 2489/466,4139/158, numerators are 2489,4139

Denominators are 466,158

The GCF of 2489,4139 is 1 .

LCM of 466,158 is 36814.

The greatest common factor of 2489/466,4139/158 = [GCF of 2489,4139]/[LCM of 466,158]= 1/36814

Therefore, the GCF of 2489/466,4139/158 is 1/36814.

Greatest Common Factor of 2489,4139

To find the highest common factor of 2489,4139, we have to find the factors of both numbers and list the highest common factor.

The factors of 2489 are 1, 19, 131, 2489

The factors of 4139 are 1, 4139

The HCF of 2489,4139 is 1.

Lets's calculate GCF of 2489,4139

Greatest Common Factor (GCF) of 2489,4139 By Common Division

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

Greatest Common Factor of 2489,4139 By Matching Biggest Common Factor Method

Greatest Common Factor of 2489,4139 By Matching Biggest Common Factor Method

Now, list down the factors of 2489

:

1,19,131,2489

Now, list down the factors of 4139

:

1,4139

Greatest Common Factor

We found the factors 2489,4139 . The biggest common factor number is the GCF number.
So the greatest common factor 2489,4139 is 1.

Lets's calculate LCM of 466,158

Lowest Common Multiple of 466,158 using Common Division

2 466, 158
233, 79

∴ So the LCM of the given numbers is 2 x 233 x 79 = 36814

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/36814

Therefore, the GCF of Fractions 2489/466,4139/158 is 1/36814

Least Common Multiple of 466,158 with GCF Formula

Least Common Multiple of 466,158 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 466,158 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(466,158) = 2

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

GCF(466,158) x common factors =2 x 1 = 2

LCM(466,158) = ( 466 × 158 ) / 2

LCM(466,158) = 73628 / 2

LCM(466,158) = 36814


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FAQs on GCF of Fractions of 2489/466, 4139/158

1. What is the HCF of 2489,4139?

The HCF of 2489,4139 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 2489/466, 4139/158?

Answer: GCF of Numerators as per given numbers 2489/466, 4139/158 is

GCF of Numerators i.e. for 2489,4139 is 1

LCM of denominators i.e. for 466,158 is 36814.

Thus, GCF of Fractions is 1/36814.Finally, GCF of Fractions for 2489/466, 4139/158 is 1/36814.