Greatest Common Factor of 440/127, 3322/319

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 440/127, 3322/319

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 440/127,3322/319

Given fractions are 440/127,3322/319

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 440,3322

Greatest Common Factor of Numerators i.e. GCF of 440,3322 is 22 .

LCM of Denominators means LCM of 127,319 as per the given fractions.

LCM of 127,319 is 40513 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 440,3322

GCF of Fractions 440/127,3322/319 is 22/40513

2 440, 3322
11 220, 1661
20, 151

∴ So the GCF of the given numbers is 2 x 11 = 22

Greatest Common Factor of 440,3322 By Matching Biggest Common Factor Method

Greatest Common Factor of 440,3322 By Matching Biggest Common Factor Method

Factors of 440

List of positive integer factors of 440 that divides 440 without a remainder.

1,2,4,5,8,10,11,20,22,40,44,55,88,110,220,440

Factors of 3322

List of positive integer factors of 3322 that divides 3322 without a remainder.

1,2,11,22,151,302,1661,3322

Greatest Common Factor

We found the factors 440,3322 . The biggest common factor number is the GCF number.
So the greatest common factor 440,3322 is 22.

Lets's calculate LCM of 127,319

Given numbers has no common factors except 1. So, there LCM is their product i.e 40513

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 22/40513

Therefore, the GCF of Fractions 440/127,3322/319 is 22/40513

Least Common Multiple of 127,319 with GCF Formula

Least Common Multiple of 127,319 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 127,319 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(127,319) = 1

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

GCF(127,319) x common factors =1 x 1 = 1

LCM(127,319) = ( 127 × 319 ) / 1

LCM(127,319) = 40513 / 1

LCM(127,319) = 40513


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 440/127, 3322/319

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 440/127, 3322/319?

Answer: GCF of Numerators as per given numbers 440/127, 3322/319 is

GCF of Numerators i.e. for 440,3322 is 22

LCM of denominators i.e. for 127,319 is 40513.

Thus, GCF of Fractions is 22/40513.Finally, GCF of Fractions for 440/127, 3322/319 is 22/40513.