Greatest Common Factor of 319/71, 917/6055

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 319/71, 917/6055

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 319/71,917/6055

Given fractions are 319/71,917/6055

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 319,917

Greatest Common Factor of Numerators i.e. GCF of 319,917 is 1 .

LCM of Denominators means LCM of 71,6055 as per the given fractions.

LCM of 71,6055 is 429905 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 319,917

GCF of Fractions 319/71,917/6055 is 1/429905

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

Greatest Common Factor of 319,917 By Matching Biggest Common Factor Method

Greatest Common Factor of 319,917 By Matching Biggest Common Factor Method

Factors of 319

List of positive integer factors of 319 that divides 319 without a remainder.

1,11,29,319

Factors of 917

List of positive integer factors of 917 that divides 917 without a remainder.

1,7,131,917

Greatest Common Factor

We found the factors 319,917 . The biggest common factor number is the GCF number.
So the greatest common factor 319,917 is 1.

Lets's calculate LCM of 71,6055

Given numbers has no common factors except 1. So, there LCM is their product i.e 429905

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/429905

Therefore, the GCF of Fractions 319/71,917/6055 is 1/429905

Least Common Multiple of 71,6055 with GCF Formula

Least Common Multiple of 71,6055 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 71,6055 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(71,6055) = 1

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

GCF(71,6055) x common factors =1 x 1 = 1

LCM(71,6055) = ( 71 × 6055 ) / 1

LCM(71,6055) = 429905 / 1

LCM(71,6055) = 429905


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 319/71, 917/6055

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 319/71, 917/6055?

Answer: GCF of Numerators as per given numbers 319/71, 917/6055 is

GCF of Numerators i.e. for 319,917 is 1

LCM of denominators i.e. for 71,6055 is 429905.

Thus, GCF of Fractions is 1/429905.Finally, GCF of Fractions for 319/71, 917/6055 is 1/429905.