Greatest Common Factor of 9628/371, 5515/569

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9628/371, 5515/569

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 9628/371,5515/569

Given fractions are 9628/371,5515/569

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 9628,5515

Greatest Common Factor of Numerators i.e. GCF of 9628,5515 is 1 .

LCM of Denominators means LCM of 371,569 as per the given fractions.

LCM of 371,569 is 211099 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9628,5515

GCF of Fractions 9628/371,5515/569 is 1/211099

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

Greatest Common Factor of 9628,5515 By Matching Biggest Common Factor Method

Greatest Common Factor of 9628,5515 By Matching Biggest Common Factor Method

Factors of 9628

List of positive integer factors of 9628 that divides 9628 without a remainder.

1,2,4,29,58,83,116,166,332,2407,4814,9628

Factors of 5515

List of positive integer factors of 5515 that divides 5515 without a remainder.

1,5,1103,5515

Greatest Common Factor

We found the factors 9628,5515 . The biggest common factor number is the GCF number.
So the greatest common factor 9628,5515 is 1.

Lets's calculate LCM of 371,569

Given numbers has no common factors except 1. So, there LCM is their product i.e 211099

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/211099

Therefore, the GCF of Fractions 9628/371,5515/569 is 1/211099

Least Common Multiple of 371,569 with GCF Formula

Least Common Multiple of 371,569 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 371,569 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(371,569) = 1

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

GCF(371,569) x common factors =1 x 1 = 1

LCM(371,569) = ( 371 × 569 ) / 1

LCM(371,569) = 211099 / 1

LCM(371,569) = 211099


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 9628/371, 5515/569

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 9628/371, 5515/569?

Answer: GCF of Numerators as per given numbers 9628/371, 5515/569 is

GCF of Numerators i.e. for 9628,5515 is 1

LCM of denominators i.e. for 371,569 is 211099.

Thus, GCF of Fractions is 1/211099.Finally, GCF of Fractions for 9628/371, 5515/569 is 1/211099.