Greatest Common Factor of 603/440, 6313/7400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 603/440, 6313/7400

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 603/440,6313/7400

Given fractions are 603/440,6313/7400

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 603,6313

Greatest Common Factor of Numerators i.e. GCF of 603,6313 is 1 .

LCM of Denominators means LCM of 440,7400 as per the given fractions.

LCM of 440,7400 is 81400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 603,6313

GCF of Fractions 603/440,6313/7400 is 1/81400

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

Greatest Common Factor of 603,6313 By Matching Biggest Common Factor Method

Greatest Common Factor of 603,6313 By Matching Biggest Common Factor Method

Factors of 603

List of positive integer factors of 603 that divides 603 without a remainder.

1,3,9,67,201,603

Factors of 6313

List of positive integer factors of 6313 that divides 6313 without a remainder.

1,59,107,6313

Greatest Common Factor

We found the factors 603,6313 . The biggest common factor number is the GCF number.
So the greatest common factor 603,6313 is 1.

Lets's calculate LCM of 440,7400

2 440, 7400
2 220, 3700
2 110, 1850
5 55, 925
11, 185

∴ So the LCM of the given numbers is 2 x 2 x 2 x 5 x 11 x 185 = 81400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/81400

Therefore, the GCF of Fractions 603/440,6313/7400 is 1/81400

Least Common Multiple of 440,7400 with GCF Formula

Least Common Multiple of 440,7400 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 440,7400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(440,7400) = 40

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

GCF(440,7400) x common factors =40 x 1 = 40

LCM(440,7400) = ( 440 × 7400 ) / 40

LCM(440,7400) = 3256000 / 40

LCM(440,7400) = 81400


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 603/440, 6313/7400

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 603/440, 6313/7400?

Answer: GCF of Numerators as per given numbers 603/440, 6313/7400 is

GCF of Numerators i.e. for 603,6313 is 1

LCM of denominators i.e. for 440,7400 is 81400.

Thus, GCF of Fractions is 1/81400.Finally, GCF of Fractions for 603/440, 6313/7400 is 1/81400.