Greatest Common Factor of 289/64, 467/2102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 289/64, 467/2102

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 289/64,467/2102

Given fractions are 289/64,467/2102

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 289,467

Greatest Common Factor of Numerators i.e. GCF of 289,467 is 1 .

LCM of Denominators means LCM of 64,2102 as per the given fractions.

LCM of 64,2102 is 67264 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 289,467

GCF of Fractions 289/64,467/2102 is 1/67264

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

Greatest Common Factor of 289,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 289,467 By Matching Biggest Common Factor Method

Factors of 289

List of positive integer factors of 289 that divides 289 without a remainder.

1,17,289

Factors of 467

List of positive integer factors of 467 that divides 467 without a remainder.

1,467

Greatest Common Factor

We found the factors 289,467 . The biggest common factor number is the GCF number.
So the greatest common factor 289,467 is 1.

Lets's calculate LCM of 64,2102

2 64, 2102
32, 1051

∴ So the LCM of the given numbers is 2 x 32 x 1051 = 67264

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/67264

Therefore, the GCF of Fractions 289/64,467/2102 is 1/67264

Least Common Multiple of 64,2102 with GCF Formula

Least Common Multiple of 64,2102 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 64,2102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(64,2102) = 2

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

GCF(64,2102) x common factors =2 x 1 = 2

LCM(64,2102) = ( 64 × 2102 ) / 2

LCM(64,2102) = 134528 / 2

LCM(64,2102) = 67264


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 289/64, 467/2102

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 289/64, 467/2102?

Answer: GCF of Numerators as per given numbers 289/64, 467/2102 is

GCF of Numerators i.e. for 289,467 is 1

LCM of denominators i.e. for 64,2102 is 67264.

Thus, GCF of Fractions is 1/67264.Finally, GCF of Fractions for 289/64, 467/2102 is 1/67264.