Greatest Common Factor of 2483/409, 4424/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 2483/409, 4424/102

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 2483/409,4424/102

Given fractions are 2483/409,4424/102

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 2483,4424

Greatest Common Factor of Numerators i.e. GCF of 2483,4424 is 1 .

LCM of Denominators means LCM of 409,102 as per the given fractions.

LCM of 409,102 is 41718 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 2483,4424

GCF of Fractions 2483/409,4424/102 is 1/41718

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

Greatest Common Factor of 2483,4424 By Matching Biggest Common Factor Method

Greatest Common Factor of 2483,4424 By Matching Biggest Common Factor Method

Factors of 2483

List of positive integer factors of 2483 that divides 2483 without a remainder.

1,13,191,2483

Factors of 4424

List of positive integer factors of 4424 that divides 4424 without a remainder.

1,2,4,7,8,14,28,56,79,158,316,553,632,1106,2212,4424

Greatest Common Factor

We found the factors 2483,4424 . The biggest common factor number is the GCF number.
So the greatest common factor 2483,4424 is 1.

Lets's calculate LCM of 409,102

Given numbers has no common factors except 1. So, there LCM is their product i.e 41718

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/41718

Therefore, the GCF of Fractions 2483/409,4424/102 is 1/41718

Least Common Multiple of 409,102 with GCF Formula

Least Common Multiple of 409,102 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 409,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(409,102) = 1

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

GCF(409,102) x common factors =1 x 1 = 1

LCM(409,102) = ( 409 × 102 ) / 1

LCM(409,102) = 41718 / 1

LCM(409,102) = 41718


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 2483/409, 4424/102

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 2483/409, 4424/102?

Answer: GCF of Numerators as per given numbers 2483/409, 4424/102 is

GCF of Numerators i.e. for 2483,4424 is 1

LCM of denominators i.e. for 409,102 is 41718.

Thus, GCF of Fractions is 1/41718.Finally, GCF of Fractions for 2483/409, 4424/102 is 1/41718.