Greatest Common Factor of 281/31, 703/1360

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 281/31, 703/1360

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 281/31,703/1360

Given fractions are 281/31,703/1360

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 281,703

Greatest Common Factor of Numerators i.e. GCF of 281,703 is 1 .

LCM of Denominators means LCM of 31,1360 as per the given fractions.

LCM of 31,1360 is 42160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 281,703

GCF of Fractions 281/31,703/1360 is 1/42160

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

Greatest Common Factor of 281,703 By Matching Biggest Common Factor Method

Greatest Common Factor of 281,703 By Matching Biggest Common Factor Method

Factors of 281

List of positive integer factors of 281 that divides 281 without a remainder.

1,281

Factors of 703

List of positive integer factors of 703 that divides 703 without a remainder.

1,19,37,703

Greatest Common Factor

We found the factors 281,703 . The biggest common factor number is the GCF number.
So the greatest common factor 281,703 is 1.

Lets's calculate LCM of 31,1360

Given numbers has no common factors except 1. So, there LCM is their product i.e 42160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/42160

Therefore, the GCF of Fractions 281/31,703/1360 is 1/42160

Least Common Multiple of 31,1360 with GCF Formula

Least Common Multiple of 31,1360 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 31,1360 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,1360) = 1

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

GCF(31,1360) x common factors =1 x 1 = 1

LCM(31,1360) = ( 31 × 1360 ) / 1

LCM(31,1360) = 42160 / 1

LCM(31,1360) = 42160


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 281/31, 703/1360

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 281/31, 703/1360?

Answer: GCF of Numerators as per given numbers 281/31, 703/1360 is

GCF of Numerators i.e. for 281,703 is 1

LCM of denominators i.e. for 31,1360 is 42160.

Thus, GCF of Fractions is 1/42160.Finally, GCF of Fractions for 281/31, 703/1360 is 1/42160.