How to Find GCF of 2753/260, 6846/5196?

GCF of 2753/260, 6846/5196

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 2753/260, 6846/5196 i.e 1/337740 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2753/260, 6846/5196.

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 2753/260,6846/5196?

Given fractions are 2753/260,6846/5196

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 2753/260,6846/5196, numerators are 2753,6846

Denominators are 260,5196

The GCF of 2753,6846 is 1 .

LCM of 260,5196 is 337740.

The greatest common factor of 2753/260,6846/5196 = [GCF of 2753,6846]/[LCM of 260,5196]= 1/337740

Therefore, the GCF of 2753/260,6846/5196 is 1/337740.

Greatest Common Factor of 2753,6846

To find the highest common factor of 2753,6846, we have to find the factors of both numbers and list the highest common factor.

The factors of 2753 are 1, 2753

The factors of 6846 are 1, 2, 3, 6, 7, 14, 21, 42, 163, 326, 489, 978, 1141, 2282, 3423, 6846

The HCF of 2753,6846 is 1.

Lets's calculate GCF of 2753,6846

Greatest Common Factor (GCF) of 2753,6846 By Common Division

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

Greatest Common Factor of 2753,6846 By Matching Biggest Common Factor Method

Now, list down the factors of 2753

1,2753

Now, list down the factors of 6846

1,2,3,6,7,14,21,42,163,326,489,978,1141,2282,3423,6846

Greatest Common Factor

We found the factors 2753,6846 . The biggest common factor number is the GCF number.
So the greatest common factor 2753,6846 is 1.

Lets's calculate LCM of 260,5196

Lowest Common Multiple of 260,5196 using Common Division

2	260, 5196
2	130, 2598
	65, 1299

∴ So the LCM of the given numbers is 2 x 2 x 65 x 1299 = 337740

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/337740

Therefore, the GCF of Fractions 2753/260,6846/5196 is 1/337740

Least Common Multiple of 260,5196 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 260,5196 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(260,5196) = 4

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

GCF(260,5196) x common factors =4 x 1 = 4

LCM(260,5196) = ( 260 × 5196 ) / 4

LCM(260,5196) = 1350960 / 4

LCM(260,5196) = 337740

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 2753/260, 6846/5196

1. What is the HCF of 2753,6846?

The HCF of 2753,6846 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 2753/260, 6846/5196?

Answer: GCF of Numerators as per given numbers 2753/260, 6846/5196 is

GCF of Numerators i.e. for 2753,6846 is 1

LCM of denominators i.e. for 260,5196 is 337740.

Thus, GCF of Fractions is 1/337740.Finally, GCF of Fractions for 2753/260, 6846/5196 is 1/337740.