How to Find GCF of 2827/612, 2391/1724?

GCF of 2827/612, 2391/1724

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 2827/612, 2391/1724 i.e 1/263772 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2827/612, 2391/1724.

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 2827/612,2391/1724?

Given fractions are 2827/612,2391/1724

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 2827/612,2391/1724, numerators are 2827,2391

Denominators are 612,1724

The GCF of 2827,2391 is 1 .

LCM of 612,1724 is 263772.

The greatest common factor of 2827/612,2391/1724 = [GCF of 2827,2391]/[LCM of 612,1724]= 1/263772

Therefore, the GCF of 2827/612,2391/1724 is 1/263772.

Greatest Common Factor of 2827,2391

To find the highest common factor of 2827,2391, we have to find the factors of both numbers and list the highest common factor.

The factors of 2827 are 1, 11, 257, 2827

The factors of 2391 are 1, 3, 797, 2391

The HCF of 2827,2391 is 1.

Lets's calculate GCF of 2827,2391

Greatest Common Factor (GCF) of 2827,2391 By Common Division

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

Greatest Common Factor of 2827,2391 By Matching Biggest Common Factor Method

Now, list down the factors of 2827

1,11,257,2827

Now, list down the factors of 2391

1,3,797,2391

Greatest Common Factor

We found the factors 2827,2391 . The biggest common factor number is the GCF number.
So the greatest common factor 2827,2391 is 1.

Lets's calculate LCM of 612,1724

Lowest Common Multiple of 612,1724 using Common Division

2	612, 1724
2	306, 862
	153, 431

∴ So the LCM of the given numbers is 2 x 2 x 153 x 431 = 263772

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/263772

Therefore, the GCF of Fractions 2827/612,2391/1724 is 1/263772

Least Common Multiple of 612,1724 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 612,1724 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(612,1724) = 4

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

GCF(612,1724) x common factors =4 x 1 = 4

LCM(612,1724) = ( 612 × 1724 ) / 4

LCM(612,1724) = 1055088 / 4

LCM(612,1724) = 263772

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FAQs on GCF of Fractions of 2827/612, 2391/1724

1. What is the HCF of 2827,2391?

The HCF of 2827,2391 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 2827/612, 2391/1724?

Answer: GCF of Numerators as per given numbers 2827/612, 2391/1724 is

GCF of Numerators i.e. for 2827,2391 is 1

LCM of denominators i.e. for 612,1724 is 263772.

Thus, GCF of Fractions is 1/263772.Finally, GCF of Fractions for 2827/612, 2391/1724 is 1/263772.