How to Find GCF of 2717/939, 2912/641?

GCF of 2717/939, 2912/641

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 2717/939, 2912/641 i.e 13/601899 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2717/939, 2912/641.

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 2717/939,2912/641?

Given fractions are 2717/939,2912/641

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 2717/939,2912/641, numerators are 2717,2912

Denominators are 939,641

The GCF of 2717,2912 is 13 .

LCM of 939,641 is 601899.

The greatest common factor of 2717/939,2912/641 = [GCF of 2717,2912]/[LCM of 939,641]= 13/601899

Therefore, the GCF of 2717/939,2912/641 is 13/601899.

Greatest Common Factor of 2717,2912

To find the highest common factor of 2717,2912, we have to find the factors of both numbers and list the highest common factor.

The factors of 2717 are 1, 11, 13, 19, 143, 209, 247, 2717

The factors of 2912 are 1, 2, 4, 7, 8, 13, 14, 16, 26, 28, 32, 52, 56, 91, 104, 112, 182, 208, 224, 364, 416, 728, 1456, 2912

The HCF of 2717,2912 is 13.

Lets's calculate GCF of 2717,2912

Greatest Common Factor (GCF) of 2717,2912 By Common Division

13	2717, 2912
	209, 224

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

Greatest Common Factor of 2717,2912 By Matching Biggest Common Factor Method

Now, list down the factors of 2717

1,11,13,19,143,209,247,2717

Now, list down the factors of 2912

1,2,4,7,8,13,14,16,26,28,32,52,56,91,104,112,182,208,224,364,416,728,1456,2912

Greatest Common Factor

We found the factors 2717,2912 . The biggest common factor number is the GCF number.
So the greatest common factor 2717,2912 is 13.

Lets's calculate LCM of 939,641

Lowest Common Multiple of 939,641 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 601899

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/601899

Therefore, the GCF of Fractions 2717/939,2912/641 is 13/601899

Least Common Multiple of 939,641 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 939,641 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(939,641) = 1

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

GCF(939,641) x common factors =1 x 1 = 1

LCM(939,641) = ( 939 × 641 ) / 1

LCM(939,641) = 601899 / 1

LCM(939,641) = 601899

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 2717/939, 2912/641

1. What is the HCF of 2717,2912?

The HCF of 2717,2912 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 2717/939, 2912/641?

Answer: GCF of Numerators as per given numbers 2717/939, 2912/641 is

GCF of Numerators i.e. for 2717,2912 is 13

LCM of denominators i.e. for 939,641 is 601899.

Thus, GCF of Fractions is 13/601899.Finally, GCF of Fractions for 2717/939, 2912/641 is 13/601899.