Greatest Common Factor of 9910/644, 6280/603

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 9910/644, 6280/603

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 9910/644,6280/603

Given fractions are 9910/644,6280/603

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 9910,6280

Greatest Common Factor of Numerators i.e. GCF of 9910,6280 is 10 .

LCM of Denominators means LCM of 644,603 as per the given fractions.

LCM of 644,603 is 388332 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 9910,6280

GCF of Fractions 9910/644,6280/603 is 10/388332

2 9910, 6280
5 4955, 3140
991, 628

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

Greatest Common Factor of 9910,6280 By Matching Biggest Common Factor Method

Greatest Common Factor of 9910,6280 By Matching Biggest Common Factor Method

Factors of 9910

List of positive integer factors of 9910 that divides 9910 without a remainder.

1,2,5,10,991,1982,4955,9910

Factors of 6280

List of positive integer factors of 6280 that divides 6280 without a remainder.

1,2,4,5,8,10,20,40,157,314,628,785,1256,1570,3140,6280

Greatest Common Factor

We found the factors 9910,6280 . The biggest common factor number is the GCF number.
So the greatest common factor 9910,6280 is 10.

Lets's calculate LCM of 644,603

Given numbers has no common factors except 1. So, there LCM is their product i.e 388332

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/388332

Therefore, the GCF of Fractions 9910/644,6280/603 is 10/388332

Least Common Multiple of 644,603 with GCF Formula

Least Common Multiple of 644,603 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 644,603 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,603) = 1

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

GCF(644,603) x common factors =1 x 1 = 1

LCM(644,603) = ( 644 × 603 ) / 1

LCM(644,603) = 388332 / 1

LCM(644,603) = 388332


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 9910/644, 6280/603

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 9910/644, 6280/603?

Answer: GCF of Numerators as per given numbers 9910/644, 6280/603 is

GCF of Numerators i.e. for 9910,6280 is 10

LCM of denominators i.e. for 644,603 is 388332.

Thus, GCF of Fractions is 10/388332.Finally, GCF of Fractions for 9910/644, 6280/603 is 10/388332.