Greatest Common Factor of 5562/143, 7312/599

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5562/143, 7312/599

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 5562/143,7312/599

Given fractions are 5562/143,7312/599

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 5562,7312

Greatest Common Factor of Numerators i.e. GCF of 5562,7312 is 2 .

LCM of Denominators means LCM of 143,599 as per the given fractions.

LCM of 143,599 is 85657 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5562,7312

GCF of Fractions 5562/143,7312/599 is 2/85657

2 5562, 7312
2781, 3656

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

Greatest Common Factor of 5562,7312 By Matching Biggest Common Factor Method

Greatest Common Factor of 5562,7312 By Matching Biggest Common Factor Method

Factors of 5562

List of positive integer factors of 5562 that divides 5562 without a remainder.

1,2,3,6,9,18,27,54,103,206,309,618,927,1854,2781,5562

Factors of 7312

List of positive integer factors of 7312 that divides 7312 without a remainder.

1,2,4,8,16,457,914,1828,3656,7312

Greatest Common Factor

We found the factors 5562,7312 . The biggest common factor number is the GCF number.
So the greatest common factor 5562,7312 is 2.

Lets's calculate LCM of 143,599

Given numbers has no common factors except 1. So, there LCM is their product i.e 85657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/85657

Therefore, the GCF of Fractions 5562/143,7312/599 is 2/85657

Least Common Multiple of 143,599 with GCF Formula

Least Common Multiple of 143,599 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 143,599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(143,599) = 1

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

GCF(143,599) x common factors =1 x 1 = 1

LCM(143,599) = ( 143 × 599 ) / 1

LCM(143,599) = 85657 / 1

LCM(143,599) = 85657


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 5562/143, 7312/599

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 5562/143, 7312/599?

Answer: GCF of Numerators as per given numbers 5562/143, 7312/599 is

GCF of Numerators i.e. for 5562,7312 is 2

LCM of denominators i.e. for 143,599 is 85657.

Thus, GCF of Fractions is 2/85657.Finally, GCF of Fractions for 5562/143, 7312/599 is 2/85657.