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GCF of 75/180, 2718/4076

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 75/180, 2718/4076 i.e 3/183420 easily. The following is the detailed procedure to determine the greatest common factor of fractions 75/180, 2718/4076.

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 75/180,2718/4076?

Given fractions are 75/180,2718/4076

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 75/180,2718/4076, numerators are 75,2718

Denominators are 180,4076

The GCF of 75,2718 is 3 .

LCM of 180,4076 is 183420.

The greatest common factor of 75/180,2718/4076 = [GCF of 75,2718]/[LCM of 180,4076]= 3/183420

Therefore, the GCF of 75/180,2718/4076 is 3/183420.

Greatest Common Factor of 75,2718

To find the highest common factor of 75,2718, we have to find the factors of both numbers and list the highest common factor.

The factors of 75 are 1, 3, 5, 15, 25, 75

The factors of 2718 are 1, 2, 3, 6, 9, 18, 151, 302, 453, 906, 1359, 2718

The HCF of 75,2718 is 3.

Lets's calculate GCF of 75,2718

Greatest Common Factor (GCF) of 75,2718 By Common Division

3 75, 2718
25, 906

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 75,2718 By Matching Biggest Common Factor Method

Greatest Common Factor of 75,2718 By Matching Biggest Common Factor Method

Now, list down the factors of 75

:

1,3,5,15,25,75

Now, list down the factors of 2718

:

1,2,3,6,9,18,151,302,453,906,1359,2718

Greatest Common Factor

We found the factors 75,2718 . The biggest common factor number is the GCF number.
So the greatest common factor 75,2718 is 3.


Lets's calculate LCM of 180,4076

Lowest Common Multiple of 180,4076 using Common Division

2 180, 4076
2 90, 2038
45, 1019

∴ So the LCM of the given numbers is 2 x 2 x 45 x 1019 = 183420

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/183420

Therefore, the GCF of Fractions 75/180,2718/4076 is 3/183420

Least Common Multiple of 180,4076 with GCF Formula

Least Common Multiple of 180,4076 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 180,4076 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(180,4076) = 4

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

GCF(180,4076) x common factors =4 x 1 = 4

LCM(180,4076) = ( 180 × 4076 ) / 4

LCM(180,4076) = 733680 / 4

LCM(180,4076) = 183420


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 75/180, 2718/4076

1. What is the HCF of 75,2718?

The HCF of 75,2718 is 3

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 75/180, 2718/4076?

Answer: GCF of Numerators as per given numbers 75/180, 2718/4076 is

GCF of Numerators i.e. for 75,2718 is 3

LCM of denominators i.e. for 180,4076 is 183420.

Thus, GCF of Fractions is 3/183420.Finally, GCF of Fractions for 75/180, 2718/4076 is 3/183420.