How to Find GCF of 4986/872, 8923/2968?

GCF of 4986/872, 8923/2968

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 4986/872, 8923/2968 i.e 1/323512 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4986/872, 8923/2968.

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 4986/872,8923/2968?

Given fractions are 4986/872,8923/2968

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 4986/872,8923/2968, numerators are 4986,8923

Denominators are 872,2968

The GCF of 4986,8923 is 1 .

LCM of 872,2968 is 323512.

The greatest common factor of 4986/872,8923/2968 = [GCF of 4986,8923]/[LCM of 872,2968]= 1/323512

Therefore, the GCF of 4986/872,8923/2968 is 1/323512.

Greatest Common Factor of 4986,8923

To find the highest common factor of 4986,8923, we have to find the factors of both numbers and list the highest common factor.

The factors of 4986 are 1, 2, 3, 6, 9, 18, 277, 554, 831, 1662, 2493, 4986

The factors of 8923 are 1, 8923

The HCF of 4986,8923 is 1.

Lets's calculate GCF of 4986,8923

Greatest Common Factor (GCF) of 4986,8923 By Common Division

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

Greatest Common Factor of 4986,8923 By Matching Biggest Common Factor Method

Now, list down the factors of 4986

1,2,3,6,9,18,277,554,831,1662,2493,4986

Now, list down the factors of 8923

1,8923

Greatest Common Factor

We found the factors 4986,8923 . The biggest common factor number is the GCF number.
So the greatest common factor 4986,8923 is 1.

Lets's calculate LCM of 872,2968

Lowest Common Multiple of 872,2968 using Common Division

2	872, 2968
2	436, 1484
2	218, 742
	109, 371

∴ So the LCM of the given numbers is 2 x 2 x 2 x 109 x 371 = 323512

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/323512

Therefore, the GCF of Fractions 4986/872,8923/2968 is 1/323512

Least Common Multiple of 872,2968 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 872,2968 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(872,2968) = 8

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

GCF(872,2968) x common factors =8 x 1 = 8

LCM(872,2968) = ( 872 × 2968 ) / 8

LCM(872,2968) = 2588096 / 8

LCM(872,2968) = 323512

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FAQs on GCF of Fractions of 4986/872, 8923/2968

1. What is the HCF of 4986,8923?

The HCF of 4986,8923 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 4986/872, 8923/2968?

Answer: GCF of Numerators as per given numbers 4986/872, 8923/2968 is

GCF of Numerators i.e. for 4986,8923 is 1

LCM of denominators i.e. for 872,2968 is 323512.

Thus, GCF of Fractions is 1/323512.Finally, GCF of Fractions for 4986/872, 8923/2968 is 1/323512.