Greatest Common Factor of 710/84, 200/2344

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 710/84, 200/2344

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 710/84,200/2344

Given fractions are 710/84,200/2344

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 710,200

Greatest Common Factor of Numerators i.e. GCF of 710,200 is 10 .

LCM of Denominators means LCM of 84,2344 as per the given fractions.

LCM of 84,2344 is 49224 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 710,200

GCF of Fractions 710/84,200/2344 is 10/49224

2 710, 200
5 355, 100
71, 20

∴ So the GCF of the given numbers is 2 x 5 = 10

Greatest Common Factor of 710,200 By Matching Biggest Common Factor Method

Greatest Common Factor of 710,200 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 200

List of positive integer factors of 200 that divides 200 without a remainder.

1,2,4,5,8,10,20,25,40,50,100,200

Greatest Common Factor

We found the factors 710,200 . The biggest common factor number is the GCF number.
So the greatest common factor 710,200 is 10.

Lets's calculate LCM of 84,2344

2 84, 2344
2 42, 1172
21, 586

∴ So the LCM of the given numbers is 2 x 2 x 21 x 586 = 49224

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/49224

Therefore, the GCF of Fractions 710/84,200/2344 is 10/49224

Least Common Multiple of 84,2344 with GCF Formula

Least Common Multiple of 84,2344 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 84,2344 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,2344) = 4

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

GCF(84,2344) x common factors =4 x 1 = 4

LCM(84,2344) = ( 84 × 2344 ) / 4

LCM(84,2344) = 196896 / 4

LCM(84,2344) = 49224


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 710/84, 200/2344

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 710/84, 200/2344?

Answer: GCF of Numerators as per given numbers 710/84, 200/2344 is

GCF of Numerators i.e. for 710,200 is 10

LCM of denominators i.e. for 84,2344 is 49224.

Thus, GCF of Fractions is 10/49224.Finally, GCF of Fractions for 710/84, 200/2344 is 10/49224.