Greatest Common Factor of 1250/419, 4324/4213

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1250/419, 4324/4213

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 1250/419,4324/4213

Given fractions are 1250/419,4324/4213

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 1250,4324

Greatest Common Factor of Numerators i.e. GCF of 1250,4324 is 2 .

LCM of Denominators means LCM of 419,4213 as per the given fractions.

LCM of 419,4213 is 1765247 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1250,4324

GCF of Fractions 1250/419,4324/4213 is 2/1765247

2 1250, 4324
625, 2162

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

Greatest Common Factor of 1250,4324 By Matching Biggest Common Factor Method

Greatest Common Factor of 1250,4324 By Matching Biggest Common Factor Method

Factors of 1250

List of positive integer factors of 1250 that divides 1250 without a remainder.

1,2,5,10,25,50,125,250,625,1250

Factors of 4324

List of positive integer factors of 4324 that divides 4324 without a remainder.

1,2,4,23,46,47,92,94,188,1081,2162,4324

Greatest Common Factor

We found the factors 1250,4324 . The biggest common factor number is the GCF number.
So the greatest common factor 1250,4324 is 2.

Lets's calculate LCM of 419,4213

Given numbers has no common factors except 1. So, there LCM is their product i.e 1765247

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1765247

Therefore, the GCF of Fractions 1250/419,4324/4213 is 2/1765247

Least Common Multiple of 419,4213 with GCF Formula

Least Common Multiple of 419,4213 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 419,4213 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(419,4213) = 1

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

GCF(419,4213) x common factors =1 x 1 = 1

LCM(419,4213) = ( 419 × 4213 ) / 1

LCM(419,4213) = 1765247 / 1

LCM(419,4213) = 1765247


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 1250/419, 4324/4213

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 1250/419, 4324/4213?

Answer: GCF of Numerators as per given numbers 1250/419, 4324/4213 is

GCF of Numerators i.e. for 1250,4324 is 2

LCM of denominators i.e. for 419,4213 is 1765247.

Thus, GCF of Fractions is 2/1765247.Finally, GCF of Fractions for 1250/419, 4324/4213 is 2/1765247.