Greatest Common Factor of 325/47, 126/54, 823/473

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 325/47, 126/54, 823/473

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 325/47,126/54,823/473

Given fractions are 325/47,126/54,823/473

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 325,126,823

Greatest Common Factor of Numerators i.e. GCF of 325,126,823 is 1 .

LCM of Denominators means LCM of 47,54,473 as per the given fractions.

LCM of 47,54,473 is 1200474 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 325,126,823

GCF of Fractions 325/47,126/54,823/473 is 1/1200474

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

Greatest Common Factor of 325,126,823 By Matching Biggest Common Factor Method

Greatest Common Factor of 325,126,823 By Matching Biggest Common Factor Method

Factors of 325

List of positive integer factors of 325 that divides 325 without a remainder.

1,5,13,25,65,325

Factors of 126

List of positive integer factors of 126 that divides 126 without a remainder.

1,2,3,6,7,9,14,18,21,42,63,126

Factors of 823

List of positive integer factors of 823 that divides 823 without a remainder.

1,823

Greatest Common Factor

We found the factors 325,126,823 . The biggest common factor number is the GCF number.
So the greatest common factor 325,126,823 is 1.

Lets's calculate LCM of 47,54,473

Given numbers has no common factors except 1. So, there LCM is their product i.e 1200474

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1200474

Therefore, the GCF of Fractions 325/47,126/54,823/473 is 1/1200474

Least Common Multiple of 47,54,473 with GCF Formula

Least Common Multiple of 47,54,473 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 47,54,473 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(47,54,473) = 1

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

GCF(47,54,473) x common factors =1 x 1 = 1

LCM(47,54,473) = ( 47 × 54 × 473 ) / 1

LCM(47,54,473) = 1200474 / 1

LCM(47,54,473) = 1200474


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 325/47, 126/54, 823/473

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 325/47, 126/54, 823/473?

Answer: GCF of Numerators as per given numbers 325/47, 126/54, 823/473 is

GCF of Numerators i.e. for 325,126,823 is 1

LCM of denominators i.e. for 47,54,473 is 1200474.

Thus, GCF of Fractions is 1/1200474.Finally, GCF of Fractions for 325/47, 126/54, 823/473 is 1/1200474.