How to Find GCF of 4227/270, 6742/5720?

GCF of 4227/270, 6742/5720

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 4227/270, 6742/5720 i.e 1/154440 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4227/270, 6742/5720.

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 4227/270,6742/5720?

Given fractions are 4227/270,6742/5720

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 4227/270,6742/5720, numerators are 4227,6742

Denominators are 270,5720

The GCF of 4227,6742 is 1 .

LCM of 270,5720 is 154440.

The greatest common factor of 4227/270,6742/5720 = [GCF of 4227,6742]/[LCM of 270,5720]= 1/154440

Therefore, the GCF of 4227/270,6742/5720 is 1/154440.

Greatest Common Factor of 4227,6742

To find the highest common factor of 4227,6742, we have to find the factors of both numbers and list the highest common factor.

The factors of 4227 are 1, 3, 1409, 4227

The factors of 6742 are 1, 2, 3371, 6742

The HCF of 4227,6742 is 1.

Lets's calculate GCF of 4227,6742

Greatest Common Factor (GCF) of 4227,6742 By Common Division

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

Greatest Common Factor of 4227,6742 By Matching Biggest Common Factor Method

Now, list down the factors of 4227

1,3,1409,4227

Now, list down the factors of 6742

1,2,3371,6742

Greatest Common Factor

We found the factors 4227,6742 . The biggest common factor number is the GCF number.
So the greatest common factor 4227,6742 is 1.

Lets's calculate LCM of 270,5720

Lowest Common Multiple of 270,5720 using Common Division

2	270, 5720
5	135, 2860
	27, 572

∴ So the LCM of the given numbers is 2 x 5 x 27 x 572 = 154440

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/154440

Therefore, the GCF of Fractions 4227/270,6742/5720 is 1/154440

Least Common Multiple of 270,5720 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 270,5720 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(270,5720) = 10

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

GCF(270,5720) x common factors =10 x 1 = 10

LCM(270,5720) = ( 270 × 5720 ) / 10

LCM(270,5720) = 1544400 / 10

LCM(270,5720) = 154440

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FAQs on GCF of Fractions of 4227/270, 6742/5720

1. What is the HCF of 4227,6742?

The HCF of 4227,6742 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 4227/270, 6742/5720?

Answer: GCF of Numerators as per given numbers 4227/270, 6742/5720 is

GCF of Numerators i.e. for 4227,6742 is 1

LCM of denominators i.e. for 270,5720 is 154440.

Thus, GCF of Fractions is 1/154440.Finally, GCF of Fractions for 4227/270, 6742/5720 is 1/154440.