Greatest Common Factor of 1274/644, 4202/9259

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1274/644, 4202/9259

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 1274/644,4202/9259

Given fractions are 1274/644,4202/9259

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 1274,4202

Greatest Common Factor of Numerators i.e. GCF of 1274,4202 is 2 .

LCM of Denominators means LCM of 644,9259 as per the given fractions.

LCM of 644,9259 is 5962796 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1274,4202

GCF of Fractions 1274/644,4202/9259 is 2/5962796

2 1274, 4202
637, 2101

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1274,4202 By Matching Biggest Common Factor Method

Greatest Common Factor of 1274,4202 By Matching Biggest Common Factor Method

Factors of 1274

List of positive integer factors of 1274 that divides 1274 without a remainder.

1,2,7,13,14,26,49,91,98,182,637,1274

Factors of 4202

List of positive integer factors of 4202 that divides 4202 without a remainder.

1,2,11,22,191,382,2101,4202

Greatest Common Factor

We found the factors 1274,4202 . The biggest common factor number is the GCF number.
So the greatest common factor 1274,4202 is 2.

Lets's calculate LCM of 644,9259

Given numbers has no common factors except 1. So, there LCM is their product i.e 5962796

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/5962796

Therefore, the GCF of Fractions 1274/644,4202/9259 is 2/5962796

Least Common Multiple of 644,9259 with GCF Formula

Least Common Multiple of 644,9259 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 644,9259 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(644,9259) = 1

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

GCF(644,9259) x common factors =1 x 1 = 1

LCM(644,9259) = ( 644 × 9259 ) / 1

LCM(644,9259) = 5962796 / 1

LCM(644,9259) = 5962796


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 1274/644, 4202/9259

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 1274/644, 4202/9259?

Answer: GCF of Numerators as per given numbers 1274/644, 4202/9259 is

GCF of Numerators i.e. for 1274,4202 is 2

LCM of denominators i.e. for 644,9259 is 5962796.

Thus, GCF of Fractions is 2/5962796.Finally, GCF of Fractions for 1274/644, 4202/9259 is 2/5962796.