Greatest Common Factor of 2633/298, 4134/1321

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2633/298, 4134/1321

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 2633/298,4134/1321

Given fractions are 2633/298,4134/1321

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 2633,4134

Greatest Common Factor of Numerators i.e. GCF of 2633,4134 is 1 .

LCM of Denominators means LCM of 298,1321 as per the given fractions.

LCM of 298,1321 is 393658 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2633,4134

GCF of Fractions 2633/298,4134/1321 is 1/393658

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

Greatest Common Factor of 2633,4134 By Matching Biggest Common Factor Method

Greatest Common Factor of 2633,4134 By Matching Biggest Common Factor Method

Factors of 2633

List of positive integer factors of 2633 that divides 2633 without a remainder.

1,2633

Factors of 4134

List of positive integer factors of 4134 that divides 4134 without a remainder.

1,2,3,6,13,26,39,53,78,106,159,318,689,1378,2067,4134

Greatest Common Factor

We found the factors 2633,4134 . The biggest common factor number is the GCF number.
So the greatest common factor 2633,4134 is 1.

Lets's calculate LCM of 298,1321

Given numbers has no common factors except 1. So, there LCM is their product i.e 393658

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/393658

Therefore, the GCF of Fractions 2633/298,4134/1321 is 1/393658

Least Common Multiple of 298,1321 with GCF Formula

Least Common Multiple of 298,1321 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 298,1321 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(298,1321) = 1

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

GCF(298,1321) x common factors =1 x 1 = 1

LCM(298,1321) = ( 298 × 1321 ) / 1

LCM(298,1321) = 393658 / 1

LCM(298,1321) = 393658


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 2633/298, 4134/1321

1. 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.

2. What is the GCF of Fractions for 2633/298, 4134/1321?

Answer: GCF of Numerators as per given numbers 2633/298, 4134/1321 is

GCF of Numerators i.e. for 2633,4134 is 1

LCM of denominators i.e. for 298,1321 is 393658.

Thus, GCF of Fractions is 1/393658.Finally, GCF of Fractions for 2633/298, 4134/1321 is 1/393658.