Greatest Common Factor of 9570/447, 5300/988

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9570/447, 5300/988

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 9570/447,5300/988

Given fractions are 9570/447,5300/988

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 9570,5300

Greatest Common Factor of Numerators i.e. GCF of 9570,5300 is 10 .

LCM of Denominators means LCM of 447,988 as per the given fractions.

LCM of 447,988 is 441636 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9570,5300

GCF of Fractions 9570/447,5300/988 is 10/441636

2 9570, 5300
5 4785, 2650
957, 530

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

Greatest Common Factor of 9570,5300 By Matching Biggest Common Factor Method

Greatest Common Factor of 9570,5300 By Matching Biggest Common Factor Method

Factors of 9570

List of positive integer factors of 9570 that divides 9570 without a remainder.

1,2,3,5,6,10,11,15,22,29,30,33,55,58,66,87,110,145,165,174,290,319,330,435,638,870,957,1595,1914,3190,4785,9570

Factors of 5300

List of positive integer factors of 5300 that divides 5300 without a remainder.

1,2,4,5,10,20,25,50,53,100,106,212,265,530,1060,1325,2650,5300

Greatest Common Factor

We found the factors 9570,5300 . The biggest common factor number is the GCF number.
So the greatest common factor 9570,5300 is 10.

Lets's calculate LCM of 447,988

Given numbers has no common factors except 1. So, there LCM is their product i.e 441636

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/441636

Therefore, the GCF of Fractions 9570/447,5300/988 is 10/441636

Least Common Multiple of 447,988 with GCF Formula

Least Common Multiple of 447,988 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 447,988 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(447,988) = 1

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

GCF(447,988) x common factors =1 x 1 = 1

LCM(447,988) = ( 447 × 988 ) / 1

LCM(447,988) = 441636 / 1

LCM(447,988) = 441636


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 9570/447, 5300/988

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 9570/447, 5300/988?

Answer: GCF of Numerators as per given numbers 9570/447, 5300/988 is

GCF of Numerators i.e. for 9570,5300 is 10

LCM of denominators i.e. for 447,988 is 441636.

Thus, GCF of Fractions is 10/441636.Finally, GCF of Fractions for 9570/447, 5300/988 is 10/441636.