How to Find GCF of 3689/938, 2458/2732?

GCF of 3689/938, 2458/2732

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 3689/938, 2458/2732 i.e 1/1281308 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3689/938, 2458/2732.

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 3689/938,2458/2732?

Given fractions are 3689/938,2458/2732

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 3689/938,2458/2732, numerators are 3689,2458

Denominators are 938,2732

The GCF of 3689,2458 is 1 .

LCM of 938,2732 is 1281308.

The greatest common factor of 3689/938,2458/2732 = [GCF of 3689,2458]/[LCM of 938,2732]= 1/1281308

Therefore, the GCF of 3689/938,2458/2732 is 1/1281308.

Greatest Common Factor of 3689,2458

To find the highest common factor of 3689,2458, we have to find the factors of both numbers and list the highest common factor.

The factors of 3689 are 1, 7, 17, 31, 119, 217, 527, 3689

The factors of 2458 are 1, 2, 1229, 2458

The HCF of 3689,2458 is 1.

Lets's calculate GCF of 3689,2458

Greatest Common Factor (GCF) of 3689,2458 By Common Division

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

Greatest Common Factor of 3689,2458 By Matching Biggest Common Factor Method

Now, list down the factors of 3689

1,7,17,31,119,217,527,3689

Now, list down the factors of 2458

1,2,1229,2458

Greatest Common Factor

We found the factors 3689,2458 . The biggest common factor number is the GCF number.
So the greatest common factor 3689,2458 is 1.

Lets's calculate LCM of 938,2732

Lowest Common Multiple of 938,2732 using Common Division

2	938, 2732
	469, 1366

∴ So the LCM of the given numbers is 2 x 469 x 1366 = 1281308

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1281308

Therefore, the GCF of Fractions 3689/938,2458/2732 is 1/1281308

Least Common Multiple of 938,2732 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 938,2732 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(938,2732) = 2

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

GCF(938,2732) x common factors =2 x 1 = 2

LCM(938,2732) = ( 938 × 2732 ) / 2

LCM(938,2732) = 2562616 / 2

LCM(938,2732) = 1281308

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3689/938, 2458/2732

1. What is the HCF of 3689,2458?

The HCF of 3689,2458 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 3689/938, 2458/2732?

Answer: GCF of Numerators as per given numbers 3689/938, 2458/2732 is

GCF of Numerators i.e. for 3689,2458 is 1

LCM of denominators i.e. for 938,2732 is 1281308.

Thus, GCF of Fractions is 1/1281308.Finally, GCF of Fractions for 3689/938, 2458/2732 is 1/1281308.