Greatest Common Factor of 22/320, 102/719, 267/385

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 22/320, 102/719, 267/385

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 22/320,102/719,267/385

Given fractions are 22/320,102/719,267/385

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 22,102,267

Greatest Common Factor of Numerators i.e. GCF of 22,102,267 is 1 .

LCM of Denominators means LCM of 320,719,385 as per the given fractions.

LCM of 320,719,385 is 17716160 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 22,102,267

GCF of Fractions 22/320,102/719,267/385 is 1/17716160

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

Greatest Common Factor of 22,102,267 By Matching Biggest Common Factor Method

Greatest Common Factor of 22,102,267 By Matching Biggest Common Factor Method

Factors of 22

List of positive integer factors of 22 that divides 22 without a remainder.

1,2,11,22

Factors of 102

List of positive integer factors of 102 that divides 102 without a remainder.

1,2,3,6,17,34,51,102

Factors of 267

List of positive integer factors of 267 that divides 267 without a remainder.

1,3,89,267

Greatest Common Factor

We found the factors 22,102,267 . The biggest common factor number is the GCF number.
So the greatest common factor 22,102,267 is 1.

Lets's calculate LCM of 320,719,385

5 320, 719, 385
64, 719, 77

∴ So the LCM of the given numbers is 5 x 64 x 719 x 77 = 17716160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/17716160

Therefore, the GCF of Fractions 22/320,102/719,267/385 is 1/17716160

Least Common Multiple of 320,719,385 with GCF Formula

Least Common Multiple of 320,719,385 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 320,719,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(320,719,385) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(320,719,385) x common factors =1 x 5 = 5

LCM(320,719,385) = ( 320 × 719 × 385 ) / 5

LCM(320,719,385) = 88580800 / 5

LCM(320,719,385) = 17716160


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 22/320, 102/719, 267/385

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 22/320, 102/719, 267/385?

Answer: GCF of Numerators as per given numbers 22/320, 102/719, 267/385 is

GCF of Numerators i.e. for 22,102,267 is 1

LCM of denominators i.e. for 320,719,385 is 17716160.

Thus, GCF of Fractions is 1/17716160.Finally, GCF of Fractions for 22/320, 102/719, 267/385 is 1/17716160.