Greatest Common Factor of 5600/843, 7390/142

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5600/843, 7390/142

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 5600/843,7390/142

Given fractions are 5600/843,7390/142

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 5600,7390

Greatest Common Factor of Numerators i.e. GCF of 5600,7390 is 10 .

LCM of Denominators means LCM of 843,142 as per the given fractions.

LCM of 843,142 is 119706 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5600,7390

GCF of Fractions 5600/843,7390/142 is 10/119706

2 5600, 7390
5 2800, 3695
560, 739

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

Greatest Common Factor of 5600,7390 By Matching Biggest Common Factor Method

Greatest Common Factor of 5600,7390 By Matching Biggest Common Factor Method

Factors of 5600

List of positive integer factors of 5600 that divides 5600 without a remainder.

1,2,4,5,7,8,10,14,16,20,25,28,32,35,40,50,56,70,80,100,112,140,160,175,200,224,280,350,400,560,700,800,1120,1400,2800,5600

Factors of 7390

List of positive integer factors of 7390 that divides 7390 without a remainder.

1,2,5,10,739,1478,3695,7390

Greatest Common Factor

We found the factors 5600,7390 . The biggest common factor number is the GCF number.
So the greatest common factor 5600,7390 is 10.

Lets's calculate LCM of 843,142

Given numbers has no common factors except 1. So, there LCM is their product i.e 119706

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/119706

Therefore, the GCF of Fractions 5600/843,7390/142 is 10/119706

Least Common Multiple of 843,142 with GCF Formula

Least Common Multiple of 843,142 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 843,142 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(843,142) = 1

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

GCF(843,142) x common factors =1 x 1 = 1

LCM(843,142) = ( 843 × 142 ) / 1

LCM(843,142) = 119706 / 1

LCM(843,142) = 119706


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 5600/843, 7390/142

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 5600/843, 7390/142?

Answer: GCF of Numerators as per given numbers 5600/843, 7390/142 is

GCF of Numerators i.e. for 5600,7390 is 10

LCM of denominators i.e. for 843,142 is 119706.

Thus, GCF of Fractions is 10/119706.Finally, GCF of Fractions for 5600/843, 7390/142 is 10/119706.