Greatest Common Factor of 4734/954, 9025/260

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4734/954, 9025/260

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 4734/954,9025/260

Given fractions are 4734/954,9025/260

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 4734,9025

Greatest Common Factor of Numerators i.e. GCF of 4734,9025 is 1 .

LCM of Denominators means LCM of 954,260 as per the given fractions.

LCM of 954,260 is 124020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4734,9025

GCF of Fractions 4734/954,9025/260 is 1/124020

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

Greatest Common Factor of 4734,9025 By Matching Biggest Common Factor Method

Greatest Common Factor of 4734,9025 By Matching Biggest Common Factor Method

Factors of 4734

List of positive integer factors of 4734 that divides 4734 without a remainder.

1,2,3,6,9,18,263,526,789,1578,2367,4734

Factors of 9025

List of positive integer factors of 9025 that divides 9025 without a remainder.

1,5,19,25,95,361,475,1805,9025

Greatest Common Factor

We found the factors 4734,9025 . The biggest common factor number is the GCF number.
So the greatest common factor 4734,9025 is 1.

Lets's calculate LCM of 954,260

2 954, 260
477, 130

∴ So the LCM of the given numbers is 2 x 477 x 130 = 124020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124020

Therefore, the GCF of Fractions 4734/954,9025/260 is 1/124020

Least Common Multiple of 954,260 with GCF Formula

Least Common Multiple of 954,260 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 954,260 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(954,260) = 2

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

GCF(954,260) x common factors =2 x 1 = 2

LCM(954,260) = ( 954 × 260 ) / 2

LCM(954,260) = 248040 / 2

LCM(954,260) = 124020


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 4734/954, 9025/260

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 4734/954, 9025/260?

Answer: GCF of Numerators as per given numbers 4734/954, 9025/260 is

GCF of Numerators i.e. for 4734,9025 is 1

LCM of denominators i.e. for 954,260 is 124020.

Thus, GCF of Fractions is 1/124020.Finally, GCF of Fractions for 4734/954, 9025/260 is 1/124020.