Greatest Common Factor of 2615/21, 3045/553

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2615/21, 3045/553

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 2615/21,3045/553

Given fractions are 2615/21,3045/553

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 2615,3045

Greatest Common Factor of Numerators i.e. GCF of 2615,3045 is 5 .

LCM of Denominators means LCM of 21,553 as per the given fractions.

LCM of 21,553 is 1659 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2615,3045

GCF of Fractions 2615/21,3045/553 is 5/1659

5 2615, 3045
523, 609

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 2615,3045 By Matching Biggest Common Factor Method

Greatest Common Factor of 2615,3045 By Matching Biggest Common Factor Method

Factors of 2615

List of positive integer factors of 2615 that divides 2615 without a remainder.

1,5,523,2615

Factors of 3045

List of positive integer factors of 3045 that divides 3045 without a remainder.

1,3,5,7,15,21,29,35,87,105,145,203,435,609,1015,3045

Greatest Common Factor

We found the factors 2615,3045 . The biggest common factor number is the GCF number.
So the greatest common factor 2615,3045 is 5.

Lets's calculate LCM of 21,553

7 21, 553
3, 79

∴ So the LCM of the given numbers is 7 x 3 x 79 = 1659

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1659

Therefore, the GCF of Fractions 2615/21,3045/553 is 5/1659

Least Common Multiple of 21,553 with GCF Formula

Least Common Multiple of 21,553 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 21,553 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(21,553) = 7

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

GCF(21,553) x common factors =7 x 1 = 7

LCM(21,553) = ( 21 × 553 ) / 7

LCM(21,553) = 11613 / 7

LCM(21,553) = 1659


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 2615/21, 3045/553

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 2615/21, 3045/553?

Answer: GCF of Numerators as per given numbers 2615/21, 3045/553 is

GCF of Numerators i.e. for 2615,3045 is 5

LCM of denominators i.e. for 21,553 is 1659.

Thus, GCF of Fractions is 5/1659.Finally, GCF of Fractions for 2615/21, 3045/553 is 5/1659.