Greatest Common Factor of 700/743, 8546/1788

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 700/743, 8546/1788

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 700/743,8546/1788

Given fractions are 700/743,8546/1788

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 700,8546

Greatest Common Factor of Numerators i.e. GCF of 700,8546 is 2 .

LCM of Denominators means LCM of 743,1788 as per the given fractions.

LCM of 743,1788 is 1328484 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 700,8546

GCF of Fractions 700/743,8546/1788 is 2/1328484

2 700, 8546
350, 4273

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

Greatest Common Factor of 700,8546 By Matching Biggest Common Factor Method

Greatest Common Factor of 700,8546 By Matching Biggest Common Factor Method

Factors of 700

List of positive integer factors of 700 that divides 700 without a remainder.

1,2,4,5,7,10,14,20,25,28,35,50,70,100,140,175,350,700

Factors of 8546

List of positive integer factors of 8546 that divides 8546 without a remainder.

1,2,4273,8546

Greatest Common Factor

We found the factors 700,8546 . The biggest common factor number is the GCF number.
So the greatest common factor 700,8546 is 2.

Lets's calculate LCM of 743,1788

Given numbers has no common factors except 1. So, there LCM is their product i.e 1328484

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1328484

Therefore, the GCF of Fractions 700/743,8546/1788 is 2/1328484

Least Common Multiple of 743,1788 with GCF Formula

Least Common Multiple of 743,1788 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 743,1788 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(743,1788) = 1

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

GCF(743,1788) x common factors =1 x 1 = 1

LCM(743,1788) = ( 743 × 1788 ) / 1

LCM(743,1788) = 1328484 / 1

LCM(743,1788) = 1328484


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 700/743, 8546/1788

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 700/743, 8546/1788?

Answer: GCF of Numerators as per given numbers 700/743, 8546/1788 is

GCF of Numerators i.e. for 700,8546 is 2

LCM of denominators i.e. for 743,1788 is 1328484.

Thus, GCF of Fractions is 2/1328484.Finally, GCF of Fractions for 700/743, 8546/1788 is 2/1328484.