Greatest Common Factor of 2503/721, 1848/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2503/721, 1848/106

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 2503/721,1848/106

Given fractions are 2503/721,1848/106

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 2503,1848

Greatest Common Factor of Numerators i.e. GCF of 2503,1848 is 1 .

LCM of Denominators means LCM of 721,106 as per the given fractions.

LCM of 721,106 is 76426 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2503,1848

GCF of Fractions 2503/721,1848/106 is 1/76426

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

Greatest Common Factor of 2503,1848 By Matching Biggest Common Factor Method

Greatest Common Factor of 2503,1848 By Matching Biggest Common Factor Method

Factors of 2503

List of positive integer factors of 2503 that divides 2503 without a remainder.

1,2503

Factors of 1848

List of positive integer factors of 1848 that divides 1848 without a remainder.

1,2,3,4,6,7,8,11,12,14,21,22,24,28,33,42,44,56,66,77,84,88,132,154,168,231,264,308,462,616,924,1848

Greatest Common Factor

We found the factors 2503,1848 . The biggest common factor number is the GCF number.
So the greatest common factor 2503,1848 is 1.

Lets's calculate LCM of 721,106

Given numbers has no common factors except 1. So, there LCM is their product i.e 76426

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/76426

Therefore, the GCF of Fractions 2503/721,1848/106 is 1/76426

Least Common Multiple of 721,106 with GCF Formula

Least Common Multiple of 721,106 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 721,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(721,106) = 1

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

GCF(721,106) x common factors =1 x 1 = 1

LCM(721,106) = ( 721 × 106 ) / 1

LCM(721,106) = 76426 / 1

LCM(721,106) = 76426


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 2503/721, 1848/106

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 2503/721, 1848/106?

Answer: GCF of Numerators as per given numbers 2503/721, 1848/106 is

GCF of Numerators i.e. for 2503,1848 is 1

LCM of denominators i.e. for 721,106 is 76426.

Thus, GCF of Fractions is 1/76426.Finally, GCF of Fractions for 2503/721, 1848/106 is 1/76426.