Greatest Common Factor of 1475/334, 4162/823

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1475/334, 4162/823

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 1475/334,4162/823

Given fractions are 1475/334,4162/823

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 1475,4162

Greatest Common Factor of Numerators i.e. GCF of 1475,4162 is 1 .

LCM of Denominators means LCM of 334,823 as per the given fractions.

LCM of 334,823 is 274882 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1475,4162

GCF of Fractions 1475/334,4162/823 is 1/274882

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

Greatest Common Factor of 1475,4162 By Matching Biggest Common Factor Method

Greatest Common Factor of 1475,4162 By Matching Biggest Common Factor Method

Factors of 1475

List of positive integer factors of 1475 that divides 1475 without a remainder.

1,5,25,59,295,1475

Factors of 4162

List of positive integer factors of 4162 that divides 4162 without a remainder.

1,2,2081,4162

Greatest Common Factor

We found the factors 1475,4162 . The biggest common factor number is the GCF number.
So the greatest common factor 1475,4162 is 1.

Lets's calculate LCM of 334,823

Given numbers has no common factors except 1. So, there LCM is their product i.e 274882

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/274882

Therefore, the GCF of Fractions 1475/334,4162/823 is 1/274882

Least Common Multiple of 334,823 with GCF Formula

Least Common Multiple of 334,823 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 334,823 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(334,823) = 1

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

GCF(334,823) x common factors =1 x 1 = 1

LCM(334,823) = ( 334 × 823 ) / 1

LCM(334,823) = 274882 / 1

LCM(334,823) = 274882


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 1475/334, 4162/823

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 1475/334, 4162/823?

Answer: GCF of Numerators as per given numbers 1475/334, 4162/823 is

GCF of Numerators i.e. for 1475,4162 is 1

LCM of denominators i.e. for 334,823 is 274882.

Thus, GCF of Fractions is 1/274882.Finally, GCF of Fractions for 1475/334, 4162/823 is 1/274882.