Greatest Common Factor of 4670/22, 9983/722

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4670/22, 9983/722

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 4670/22,9983/722

Given fractions are 4670/22,9983/722

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 4670,9983

Greatest Common Factor of Numerators i.e. GCF of 4670,9983 is 1 .

LCM of Denominators means LCM of 22,722 as per the given fractions.

LCM of 22,722 is 7942 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4670,9983

GCF of Fractions 4670/22,9983/722 is 1/7942

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4670,9983 By Matching Biggest Common Factor Method

Greatest Common Factor of 4670,9983 By Matching Biggest Common Factor Method

Factors of 4670

List of positive integer factors of 4670 that divides 4670 without a remainder.

1,2,5,10,467,934,2335,4670

Factors of 9983

List of positive integer factors of 9983 that divides 9983 without a remainder.

1,67,149,9983

Greatest Common Factor

We found the factors 4670,9983 . The biggest common factor number is the GCF number.
So the greatest common factor 4670,9983 is 1.

Lets's calculate LCM of 22,722

2 22, 722
11, 361

∴ So the LCM of the given numbers is 2 x 11 x 361 = 7942

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/7942

Therefore, the GCF of Fractions 4670/22,9983/722 is 1/7942

Least Common Multiple of 22,722 with GCF Formula

Least Common Multiple of 22,722 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 22,722 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,722) = 2

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

GCF(22,722) x common factors =2 x 1 = 2

LCM(22,722) = ( 22 × 722 ) / 2

LCM(22,722) = 15884 / 2

LCM(22,722) = 7942


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 4670/22, 9983/722

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 4670/22, 9983/722?

Answer: GCF of Numerators as per given numbers 4670/22, 9983/722 is

GCF of Numerators i.e. for 4670,9983 is 1

LCM of denominators i.e. for 22,722 is 7942.

Thus, GCF of Fractions is 1/7942.Finally, GCF of Fractions for 4670/22, 9983/722 is 1/7942.