How to Find GCF of 4901/939, 3159/8404?

GCF of 4901/939, 3159/8404

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 4901/939, 3159/8404 i.e 13/7891356 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4901/939, 3159/8404.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 4901/939,3159/8404?

Given fractions are 4901/939,3159/8404

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 4901/939,3159/8404, numerators are 4901,3159

Denominators are 939,8404

The GCF of 4901,3159 is 13 .

LCM of 939,8404 is 7891356.

The greatest common factor of 4901/939,3159/8404 = [GCF of 4901,3159]/[LCM of 939,8404]= 13/7891356

Therefore, the GCF of 4901/939,3159/8404 is 13/7891356.

Greatest Common Factor of 4901,3159

To find the highest common factor of 4901,3159, we have to find the factors of both numbers and list the highest common factor.

The factors of 4901 are 1, 13, 29, 169, 377, 4901

The factors of 3159 are 1, 3, 9, 13, 27, 39, 81, 117, 243, 351, 1053, 3159

The HCF of 4901,3159 is 13.

Lets's calculate GCF of 4901,3159

Greatest Common Factor (GCF) of 4901,3159 By Common Division

13	4901, 3159
	377, 243

∴ So the GCF of the given numbers is 13 = 13

Greatest Common Factor of 4901,3159 By Matching Biggest Common Factor Method

Now, list down the factors of 4901

1,13,29,169,377,4901

Now, list down the factors of 3159

1,3,9,13,27,39,81,117,243,351,1053,3159

Greatest Common Factor

We found the factors 4901,3159 . The biggest common factor number is the GCF number.
So the greatest common factor 4901,3159 is 13.

Lets's calculate LCM of 939,8404

Lowest Common Multiple of 939,8404 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 7891356

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/7891356

Therefore, the GCF of Fractions 4901/939,3159/8404 is 13/7891356

Least Common Multiple of 939,8404 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 939,8404 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,8404) = 1

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

GCF(939,8404) x common factors =1 x 1 = 1

LCM(939,8404) = ( 939 × 8404 ) / 1

LCM(939,8404) = 7891356 / 1

LCM(939,8404) = 7891356

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FAQs on GCF of Fractions of 4901/939, 3159/8404

1. What is the HCF of 4901,3159?

The HCF of 4901,3159 is 13

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 4901/939, 3159/8404?

Answer: GCF of Numerators as per given numbers 4901/939, 3159/8404 is

GCF of Numerators i.e. for 4901,3159 is 13

LCM of denominators i.e. for 939,8404 is 7891356.

Thus, GCF of Fractions is 13/7891356.Finally, GCF of Fractions for 4901/939, 3159/8404 is 13/7891356.