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GCF of 2717/606, 5388/4619

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 2717/606, 5388/4619 i.e 1/2799114 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2717/606, 5388/4619.

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 2717/606,5388/4619?

Given fractions are 2717/606,5388/4619

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 2717/606,5388/4619, numerators are 2717,5388

Denominators are 606,4619

The GCF of 2717,5388 is 1 .

LCM of 606,4619 is 2799114.

The greatest common factor of 2717/606,5388/4619 = [GCF of 2717,5388]/[LCM of 606,4619]= 1/2799114

Therefore, the GCF of 2717/606,5388/4619 is 1/2799114.

Greatest Common Factor of 2717,5388

To find the highest common factor of 2717,5388, 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 5388 are 1, 2, 3, 4, 6, 12, 449, 898, 1347, 1796, 2694, 5388

The HCF of 2717,5388 is 1.

Lets's calculate GCF of 2717,5388

Greatest Common Factor (GCF) of 2717,5388 By Common Division

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

Greatest Common Factor of 2717,5388 By Matching Biggest Common Factor Method

Greatest Common Factor of 2717,5388 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 5388

:

1,2,3,4,6,12,449,898,1347,1796,2694,5388

Greatest Common Factor

We found the factors 2717,5388 . The biggest common factor number is the GCF number.
So the greatest common factor 2717,5388 is 1.


Lets's calculate LCM of 606,4619

Lowest Common Multiple of 606,4619 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 2799114

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2799114

Therefore, the GCF of Fractions 2717/606,5388/4619 is 1/2799114

Least Common Multiple of 606,4619 with GCF Formula

Least Common Multiple of 606,4619 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 606,4619 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(606,4619) = 1

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

GCF(606,4619) x common factors =1 x 1 = 1

LCM(606,4619) = ( 606 × 4619 ) / 1

LCM(606,4619) = 2799114 / 1

LCM(606,4619) = 2799114


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 2717/606, 5388/4619

1. What is the HCF of 2717,5388?

The HCF of 2717,5388 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 2717/606, 5388/4619?

Answer: GCF of Numerators as per given numbers 2717/606, 5388/4619 is

GCF of Numerators i.e. for 2717,5388 is 1

LCM of denominators i.e. for 606,4619 is 2799114.

Thus, GCF of Fractions is 1/2799114.Finally, GCF of Fractions for 2717/606, 5388/4619 is 1/2799114.