Greatest Common Factor of 758/705, 2734/953

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 758/705, 2734/953

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 758/705,2734/953

Given fractions are 758/705,2734/953

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 758,2734

Greatest Common Factor of Numerators i.e. GCF of 758,2734 is 2 .

LCM of Denominators means LCM of 705,953 as per the given fractions.

LCM of 705,953 is 671865 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 758,2734

GCF of Fractions 758/705,2734/953 is 2/671865

2 758, 2734
379, 1367

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 758,2734 By Matching Biggest Common Factor Method

Greatest Common Factor of 758,2734 By Matching Biggest Common Factor Method

Factors of 758

List of positive integer factors of 758 that divides 758 without a remainder.

1,2,379,758

Factors of 2734

List of positive integer factors of 2734 that divides 2734 without a remainder.

1,2,1367,2734

Greatest Common Factor

We found the factors 758,2734 . The biggest common factor number is the GCF number.
So the greatest common factor 758,2734 is 2.

Lets's calculate LCM of 705,953

Given numbers has no common factors except 1. So, there LCM is their product i.e 671865

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/671865

Therefore, the GCF of Fractions 758/705,2734/953 is 2/671865

Least Common Multiple of 705,953 with GCF Formula

Least Common Multiple of 705,953 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 705,953 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(705,953) = 1

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

GCF(705,953) x common factors =1 x 1 = 1

LCM(705,953) = ( 705 × 953 ) / 1

LCM(705,953) = 671865 / 1

LCM(705,953) = 671865


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 758/705, 2734/953

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 758/705, 2734/953?

Answer: GCF of Numerators as per given numbers 758/705, 2734/953 is

GCF of Numerators i.e. for 758,2734 is 2

LCM of denominators i.e. for 705,953 is 671865.

Thus, GCF of Fractions is 2/671865.Finally, GCF of Fractions for 758/705, 2734/953 is 2/671865.