Greatest Common Factor of 403/71, 417/14, 419/160

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 403/71, 417/14, 419/160

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 403/71,417/14,419/160

Given fractions are 403/71,417/14,419/160

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 403,417,419

Greatest Common Factor of Numerators i.e. GCF of 403,417,419 is 1 .

LCM of Denominators means LCM of 71,14,160 as per the given fractions.

LCM of 71,14,160 is 79520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 403,417,419

GCF of Fractions 403/71,417/14,419/160 is 1/79520

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

Greatest Common Factor of 403,417,419 By Matching Biggest Common Factor Method

Greatest Common Factor of 403,417,419 By Matching Biggest Common Factor Method

Factors of 403

List of positive integer factors of 403 that divides 403 without a remainder.

1,13,31,403

Factors of 417

List of positive integer factors of 417 that divides 417 without a remainder.

1,3,139,417

Factors of 419

List of positive integer factors of 419 that divides 419 without a remainder.

1,419

Greatest Common Factor

We found the factors 403,417,419 . The biggest common factor number is the GCF number.
So the greatest common factor 403,417,419 is 1.

Lets's calculate LCM of 71,14,160

2 71, 14, 160
71, 7, 80

∴ So the LCM of the given numbers is 2 x 71 x 7 x 80 = 79520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/79520

Therefore, the GCF of Fractions 403/71,417/14,419/160 is 1/79520

Least Common Multiple of 71,14,160 with GCF Formula

Least Common Multiple of 71,14,160 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 71,14,160 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,14,160) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(71,14,160) x common factors =1 x 2 = 2

LCM(71,14,160) = ( 71 × 14 × 160 ) / 2

LCM(71,14,160) = 159040 / 2

LCM(71,14,160) = 79520


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 403/71, 417/14, 419/160

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 403/71, 417/14, 419/160?

Answer: GCF of Numerators as per given numbers 403/71, 417/14, 419/160 is

GCF of Numerators i.e. for 403,417,419 is 1

LCM of denominators i.e. for 71,14,160 is 79520.

Thus, GCF of Fractions is 1/79520.Finally, GCF of Fractions for 403/71, 417/14, 419/160 is 1/79520.