Greatest Common Factor of 710/749, 1983/460

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/749, 1983/460

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 710/749,1983/460

Given fractions are 710/749,1983/460

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 710,1983

Greatest Common Factor of Numerators i.e. GCF of 710,1983 is 1 .

LCM of Denominators means LCM of 749,460 as per the given fractions.

LCM of 749,460 is 344540 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,1983

GCF of Fractions 710/749,1983/460 is 1/344540

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

Greatest Common Factor of 710,1983 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,1983 By Matching Biggest Common Factor Method

Factors of 710

List of positive integer factors of 710 that divides 710 without a remainder.

1,2,5,10,71,142,355,710

Factors of 1983

List of positive integer factors of 1983 that divides 1983 without a remainder.

1,3,661,1983

Greatest Common Factor

We found the factors 710,1983 . The biggest common factor number is the GCF number.
So the greatest common factor 710,1983 is 1.

Lets's calculate LCM of 749,460

Given numbers has no common factors except 1. So, there LCM is their product i.e 344540

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/344540

Therefore, the GCF of Fractions 710/749,1983/460 is 1/344540

Least Common Multiple of 749,460 with GCF Formula

Least Common Multiple of 749,460 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 749,460 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(749,460) = 1

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

GCF(749,460) x common factors =1 x 1 = 1

LCM(749,460) = ( 749 × 460 ) / 1

LCM(749,460) = 344540 / 1

LCM(749,460) = 344540


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 710/749, 1983/460

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 710/749, 1983/460?

Answer: GCF of Numerators as per given numbers 710/749, 1983/460 is

GCF of Numerators i.e. for 710,1983 is 1

LCM of denominators i.e. for 749,460 is 344540.

Thus, GCF of Fractions is 1/344540.Finally, GCF of Fractions for 710/749, 1983/460 is 1/344540.