Greatest Common Factor of 1053/694, 2305/251

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1053/694, 2305/251

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 1053/694,2305/251

Given fractions are 1053/694,2305/251

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 1053,2305

Greatest Common Factor of Numerators i.e. GCF of 1053,2305 is 1 .

LCM of Denominators means LCM of 694,251 as per the given fractions.

LCM of 694,251 is 174194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1053,2305

GCF of Fractions 1053/694,2305/251 is 1/174194

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

Greatest Common Factor of 1053,2305 By Matching Biggest Common Factor Method

Greatest Common Factor of 1053,2305 By Matching Biggest Common Factor Method

Factors of 1053

List of positive integer factors of 1053 that divides 1053 without a remainder.

1,3,9,13,27,39,81,117,351,1053

Factors of 2305

List of positive integer factors of 2305 that divides 2305 without a remainder.

1,5,461,2305

Greatest Common Factor

We found the factors 1053,2305 . The biggest common factor number is the GCF number.
So the greatest common factor 1053,2305 is 1.

Lets's calculate LCM of 694,251

Given numbers has no common factors except 1. So, there LCM is their product i.e 174194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/174194

Therefore, the GCF of Fractions 1053/694,2305/251 is 1/174194

Least Common Multiple of 694,251 with GCF Formula

Least Common Multiple of 694,251 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 694,251 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(694,251) = 1

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

GCF(694,251) x common factors =1 x 1 = 1

LCM(694,251) = ( 694 × 251 ) / 1

LCM(694,251) = 174194 / 1

LCM(694,251) = 174194


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 1053/694, 2305/251

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 1053/694, 2305/251?

Answer: GCF of Numerators as per given numbers 1053/694, 2305/251 is

GCF of Numerators i.e. for 1053,2305 is 1

LCM of denominators i.e. for 694,251 is 174194.

Thus, GCF of Fractions is 1/174194.Finally, GCF of Fractions for 1053/694, 2305/251 is 1/174194.