Greatest Common Factor of 7649/38, 4811/250

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 7649/38, 4811/250

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 7649/38,4811/250

Given fractions are 7649/38,4811/250

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 7649,4811

Greatest Common Factor of Numerators i.e. GCF of 7649,4811 is 1 .

LCM of Denominators means LCM of 38,250 as per the given fractions.

LCM of 38,250 is 4750 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 7649,4811

GCF of Fractions 7649/38,4811/250 is 1/4750

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

Greatest Common Factor of 7649,4811 By Matching Biggest Common Factor Method

Greatest Common Factor of 7649,4811 By Matching Biggest Common Factor Method

Factors of 7649

List of positive integer factors of 7649 that divides 7649 without a remainder.

1,7649

Factors of 4811

List of positive integer factors of 4811 that divides 4811 without a remainder.

1,17,283,4811

Greatest Common Factor

We found the factors 7649,4811 . The biggest common factor number is the GCF number.
So the greatest common factor 7649,4811 is 1.

Lets's calculate LCM of 38,250

2 38, 250
19, 125

∴ So the LCM of the given numbers is 2 x 19 x 125 = 4750

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4750

Therefore, the GCF of Fractions 7649/38,4811/250 is 1/4750

Least Common Multiple of 38,250 with GCF Formula

Least Common Multiple of 38,250 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 38,250 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(38,250) = 2

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

GCF(38,250) x common factors =2 x 1 = 2

LCM(38,250) = ( 38 × 250 ) / 2

LCM(38,250) = 9500 / 2

LCM(38,250) = 4750


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 7649/38, 4811/250

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 7649/38, 4811/250?

Answer: GCF of Numerators as per given numbers 7649/38, 4811/250 is

GCF of Numerators i.e. for 7649,4811 is 1

LCM of denominators i.e. for 38,250 is 4750.

Thus, GCF of Fractions is 1/4750.Finally, GCF of Fractions for 7649/38, 4811/250 is 1/4750.