Greatest Common Factor of 644/68, 848/12, 467/668

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/68, 848/12, 467/668

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 644/68,848/12,467/668

Given fractions are 644/68,848/12,467/668

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 644,848,467

Greatest Common Factor of Numerators i.e. GCF of 644,848,467 is 1 .

LCM of Denominators means LCM of 68,12,668 as per the given fractions.

LCM of 68,12,668 is 34068 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,848,467

GCF of Fractions 644/68,848/12,467/668 is 1/34068

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

Greatest Common Factor of 644,848,467 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,848,467 By Matching Biggest Common Factor Method

Factors of 644

List of positive integer factors of 644 that divides 644 without a remainder.

1,2,4,7,14,23,28,46,92,161,322,644

Factors of 848

List of positive integer factors of 848 that divides 848 without a remainder.

1,2,4,8,16,53,106,212,424,848

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 644,848,467 . The biggest common factor number is the GCF number.
So the greatest common factor 644,848,467 is 1.

Lets's calculate LCM of 68,12,668

2 68, 12, 668
2 34, 6, 334
17, 3, 167

∴ So the LCM of the given numbers is 2 x 2 x 17 x 3 x 167 = 34068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/34068

Therefore, the GCF of Fractions 644/68,848/12,467/668 is 1/34068

Least Common Multiple of 68,12,668 with GCF Formula

Least Common Multiple of 68,12,668 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 68,12,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(68,12,668) = 4

common factors(in case of two or more numbers have common factors) = 4

GCF(68,12,668) x common factors =4 x 4 = 16

LCM(68,12,668) = ( 68 × 12 × 668 ) / 16

LCM(68,12,668) = 545088 / 16

LCM(68,12,668) = 34068


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 644/68, 848/12, 467/668

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 644/68, 848/12, 467/668?

Answer: GCF of Numerators as per given numbers 644/68, 848/12, 467/668 is

GCF of Numerators i.e. for 644,848,467 is 1

LCM of denominators i.e. for 68,12,668 is 34068.

Thus, GCF of Fractions is 1/34068.Finally, GCF of Fractions for 644/68, 848/12, 467/668 is 1/34068.