Greatest Common Factor of 4894/925, 9734/2400

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4894/925, 9734/2400

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 4894/925,9734/2400

Given fractions are 4894/925,9734/2400

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 4894,9734

Greatest Common Factor of Numerators i.e. GCF of 4894,9734 is 2 .

LCM of Denominators means LCM of 925,2400 as per the given fractions.

LCM of 925,2400 is 88800 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4894,9734

GCF of Fractions 4894/925,9734/2400 is 2/88800

2 4894, 9734
2447, 4867

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

Greatest Common Factor of 4894,9734 By Matching Biggest Common Factor Method

Greatest Common Factor of 4894,9734 By Matching Biggest Common Factor Method

Factors of 4894

List of positive integer factors of 4894 that divides 4894 without a remainder.

1,2,2447,4894

Factors of 9734

List of positive integer factors of 9734 that divides 9734 without a remainder.

1,2,31,62,157,314,4867,9734

Greatest Common Factor

We found the factors 4894,9734 . The biggest common factor number is the GCF number.
So the greatest common factor 4894,9734 is 2.

Lets's calculate LCM of 925,2400

5 925, 2400
5 185, 480
37, 96

∴ So the LCM of the given numbers is 5 x 5 x 37 x 96 = 88800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/88800

Therefore, the GCF of Fractions 4894/925,9734/2400 is 2/88800

Least Common Multiple of 925,2400 with GCF Formula

Least Common Multiple of 925,2400 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 925,2400 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(925,2400) = 25

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

GCF(925,2400) x common factors =25 x 1 = 25

LCM(925,2400) = ( 925 × 2400 ) / 25

LCM(925,2400) = 2220000 / 25

LCM(925,2400) = 88800


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 4894/925, 9734/2400

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 4894/925, 9734/2400?

Answer: GCF of Numerators as per given numbers 4894/925, 9734/2400 is

GCF of Numerators i.e. for 4894,9734 is 2

LCM of denominators i.e. for 925,2400 is 88800.

Thus, GCF of Fractions is 2/88800.Finally, GCF of Fractions for 4894/925, 9734/2400 is 2/88800.