Greatest Common Factor of 6227/450, 9577/670

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 6227/450, 9577/670

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 6227/450,9577/670

Given fractions are 6227/450,9577/670

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 6227,9577

Greatest Common Factor of Numerators i.e. GCF of 6227,9577 is 1 .

LCM of Denominators means LCM of 450,670 as per the given fractions.

LCM of 450,670 is 30150 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 6227,9577

GCF of Fractions 6227/450,9577/670 is 1/30150

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

Greatest Common Factor of 6227,9577 By Matching Biggest Common Factor Method

Greatest Common Factor of 6227,9577 By Matching Biggest Common Factor Method

Factors of 6227

List of positive integer factors of 6227 that divides 6227 without a remainder.

1,13,479,6227

Factors of 9577

List of positive integer factors of 9577 that divides 9577 without a remainder.

1,61,157,9577

Greatest Common Factor

We found the factors 6227,9577 . The biggest common factor number is the GCF number.
So the greatest common factor 6227,9577 is 1.

Lets's calculate LCM of 450,670

2 450, 670
5 225, 335
45, 67

∴ So the LCM of the given numbers is 2 x 5 x 45 x 67 = 30150

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/30150

Therefore, the GCF of Fractions 6227/450,9577/670 is 1/30150

Least Common Multiple of 450,670 with GCF Formula

Least Common Multiple of 450,670 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 450,670 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(450,670) = 10

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

GCF(450,670) x common factors =10 x 1 = 10

LCM(450,670) = ( 450 × 670 ) / 10

LCM(450,670) = 301500 / 10

LCM(450,670) = 30150


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 6227/450, 9577/670

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 6227/450, 9577/670?

Answer: GCF of Numerators as per given numbers 6227/450, 9577/670 is

GCF of Numerators i.e. for 6227,9577 is 1

LCM of denominators i.e. for 450,670 is 30150.

Thus, GCF of Fractions is 1/30150.Finally, GCF of Fractions for 6227/450, 9577/670 is 1/30150.