Greatest Common Factor of 3049/708, 2424/6250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3049/708, 2424/6250

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 3049/708,2424/6250

Given fractions are 3049/708,2424/6250

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 3049,2424

Greatest Common Factor of Numerators i.e. GCF of 3049,2424 is 1 .

LCM of Denominators means LCM of 708,6250 as per the given fractions.

LCM of 708,6250 is 2212500 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3049,2424

GCF of Fractions 3049/708,2424/6250 is 1/2212500

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

Greatest Common Factor of 3049,2424 By Matching Biggest Common Factor Method

Greatest Common Factor of 3049,2424 By Matching Biggest Common Factor Method

Factors of 3049

List of positive integer factors of 3049 that divides 3049 without a remainder.

1,3049

Factors of 2424

List of positive integer factors of 2424 that divides 2424 without a remainder.

1,2,3,4,6,8,12,24,101,202,303,404,606,808,1212,2424

Greatest Common Factor

We found the factors 3049,2424 . The biggest common factor number is the GCF number.
So the greatest common factor 3049,2424 is 1.

Lets's calculate LCM of 708,6250

2 708, 6250
354, 3125

∴ So the LCM of the given numbers is 2 x 354 x 3125 = 2212500

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2212500

Therefore, the GCF of Fractions 3049/708,2424/6250 is 1/2212500

Least Common Multiple of 708,6250 with GCF Formula

Least Common Multiple of 708,6250 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 708,6250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(708,6250) = 2

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

GCF(708,6250) x common factors =2 x 1 = 2

LCM(708,6250) = ( 708 × 6250 ) / 2

LCM(708,6250) = 4425000 / 2

LCM(708,6250) = 2212500


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 3049/708, 2424/6250

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 3049/708, 2424/6250?

Answer: GCF of Numerators as per given numbers 3049/708, 2424/6250 is

GCF of Numerators i.e. for 3049,2424 is 1

LCM of denominators i.e. for 708,6250 is 2212500.

Thus, GCF of Fractions is 1/2212500.Finally, GCF of Fractions for 3049/708, 2424/6250 is 1/2212500.