Greatest Common Factor of 9992/620, 5770/683

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9992/620, 5770/683

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 9992/620,5770/683

Given fractions are 9992/620,5770/683

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 9992,5770

Greatest Common Factor of Numerators i.e. GCF of 9992,5770 is 2 .

LCM of Denominators means LCM of 620,683 as per the given fractions.

LCM of 620,683 is 423460 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9992,5770

GCF of Fractions 9992/620,5770/683 is 2/423460

2 9992, 5770
4996, 2885

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

Greatest Common Factor of 9992,5770 By Matching Biggest Common Factor Method

Greatest Common Factor of 9992,5770 By Matching Biggest Common Factor Method

Factors of 9992

List of positive integer factors of 9992 that divides 9992 without a remainder.

1,2,4,8,1249,2498,4996,9992

Factors of 5770

List of positive integer factors of 5770 that divides 5770 without a remainder.

1,2,5,10,577,1154,2885,5770

Greatest Common Factor

We found the factors 9992,5770 . The biggest common factor number is the GCF number.
So the greatest common factor 9992,5770 is 2.

Lets's calculate LCM of 620,683

Given numbers has no common factors except 1. So, there LCM is their product i.e 423460

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/423460

Therefore, the GCF of Fractions 9992/620,5770/683 is 2/423460

Least Common Multiple of 620,683 with GCF Formula

Least Common Multiple of 620,683 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 620,683 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(620,683) = 1

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

GCF(620,683) x common factors =1 x 1 = 1

LCM(620,683) = ( 620 × 683 ) / 1

LCM(620,683) = 423460 / 1

LCM(620,683) = 423460


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 9992/620, 5770/683

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 9992/620, 5770/683?

Answer: GCF of Numerators as per given numbers 9992/620, 5770/683 is

GCF of Numerators i.e. for 9992,5770 is 2

LCM of denominators i.e. for 620,683 is 423460.

Thus, GCF of Fractions is 2/423460.Finally, GCF of Fractions for 9992/620, 5770/683 is 2/423460.