How to Find GCF of 2389/650, 8242/5542?

GCF of 2389/650, 8242/5542

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 2389/650, 8242/5542 i.e 1/1801150 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2389/650, 8242/5542.

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 2389/650,8242/5542?

Given fractions are 2389/650,8242/5542

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 2389/650,8242/5542, numerators are 2389,8242

Denominators are 650,5542

The GCF of 2389,8242 is 1 .

LCM of 650,5542 is 1801150.

The greatest common factor of 2389/650,8242/5542 = [GCF of 2389,8242]/[LCM of 650,5542]= 1/1801150

Therefore, the GCF of 2389/650,8242/5542 is 1/1801150.

Greatest Common Factor of 2389,8242

To find the highest common factor of 2389,8242, we have to find the factors of both numbers and list the highest common factor.

The factors of 2389 are 1, 2389

The factors of 8242 are 1, 2, 13, 26, 317, 634, 4121, 8242

The HCF of 2389,8242 is 1.

Lets's calculate GCF of 2389,8242

Greatest Common Factor (GCF) of 2389,8242 By Common Division

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

Greatest Common Factor of 2389,8242 By Matching Biggest Common Factor Method

Now, list down the factors of 2389

1,2389

Now, list down the factors of 8242

1,2,13,26,317,634,4121,8242

Greatest Common Factor

We found the factors 2389,8242 . The biggest common factor number is the GCF number.
So the greatest common factor 2389,8242 is 1.

Lets's calculate LCM of 650,5542

Lowest Common Multiple of 650,5542 using Common Division

2	650, 5542
	325, 2771

∴ So the LCM of the given numbers is 2 x 325 x 2771 = 1801150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1801150

Therefore, the GCF of Fractions 2389/650,8242/5542 is 1/1801150

Least Common Multiple of 650,5542 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 650,5542 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(650,5542) = 2

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

GCF(650,5542) x common factors =2 x 1 = 2

LCM(650,5542) = ( 650 × 5542 ) / 2

LCM(650,5542) = 3602300 / 2

LCM(650,5542) = 1801150

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2389/650, 8242/5542

1. What is the HCF of 2389,8242?

The HCF of 2389,8242 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 2389/650, 8242/5542?

Answer: GCF of Numerators as per given numbers 2389/650, 8242/5542 is

GCF of Numerators i.e. for 2389,8242 is 1

LCM of denominators i.e. for 650,5542 is 1801150.

Thus, GCF of Fractions is 1/1801150.Finally, GCF of Fractions for 2389/650, 8242/5542 is 1/1801150.