How to Find GCF of 872/274, 5943/2510?

GCF of 872/274, 5943/2510

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 872/274, 5943/2510 i.e 1/343870 easily. The following is the detailed procedure to determine the greatest common factor of fractions 872/274, 5943/2510.

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 872/274,5943/2510?

Given fractions are 872/274,5943/2510

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 872/274,5943/2510, numerators are 872,5943

Denominators are 274,2510

The GCF of 872,5943 is 1 .

LCM of 274,2510 is 343870.

The greatest common factor of 872/274,5943/2510 = [GCF of 872,5943]/[LCM of 274,2510]= 1/343870

Therefore, the GCF of 872/274,5943/2510 is 1/343870.

Greatest Common Factor of 872,5943

To find the highest common factor of 872,5943, we have to find the factors of both numbers and list the highest common factor.

The factors of 872 are 1, 2, 4, 8, 109, 218, 436, 872

The factors of 5943 are 1, 3, 7, 21, 283, 849, 1981, 5943

The HCF of 872,5943 is 1.

Lets's calculate GCF of 872,5943

Greatest Common Factor (GCF) of 872,5943 By Common Division

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

Greatest Common Factor of 872,5943 By Matching Biggest Common Factor Method

Now, list down the factors of 872

1,2,4,8,109,218,436,872

Now, list down the factors of 5943

1,3,7,21,283,849,1981,5943

Greatest Common Factor

We found the factors 872,5943 . The biggest common factor number is the GCF number.
So the greatest common factor 872,5943 is 1.

Lets's calculate LCM of 274,2510

Lowest Common Multiple of 274,2510 using Common Division

2	274, 2510
	137, 1255

∴ So the LCM of the given numbers is 2 x 137 x 1255 = 343870

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/343870

Therefore, the GCF of Fractions 872/274,5943/2510 is 1/343870

Least Common Multiple of 274,2510 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 274,2510 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(274,2510) = 2

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

GCF(274,2510) x common factors =2 x 1 = 2

LCM(274,2510) = ( 274 × 2510 ) / 2

LCM(274,2510) = 687740 / 2

LCM(274,2510) = 343870

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 872/274, 5943/2510

1. What is the HCF of 872,5943?

The HCF of 872,5943 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 872/274, 5943/2510?

Answer: GCF of Numerators as per given numbers 872/274, 5943/2510 is

GCF of Numerators i.e. for 872,5943 is 1

LCM of denominators i.e. for 274,2510 is 343870.

Thus, GCF of Fractions is 1/343870.Finally, GCF of Fractions for 872/274, 5943/2510 is 1/343870.