Greatest Common Factor of 644/69, 7216/102

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 644/69, 7216/102

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 644/69,7216/102

Given fractions are 644/69,7216/102

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 644,7216

Greatest Common Factor of Numerators i.e. GCF of 644,7216 is 4 .

LCM of Denominators means LCM of 69,102 as per the given fractions.

LCM of 69,102 is 2346 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 644,7216

GCF of Fractions 644/69,7216/102 is 4/2346

2 644, 7216
2 322, 3608
161, 1804

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 644,7216 By Matching Biggest Common Factor Method

Greatest Common Factor of 644,7216 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 7216

List of positive integer factors of 7216 that divides 7216 without a remainder.

1,2,4,8,11,16,22,41,44,82,88,164,176,328,451,656,902,1804,3608,7216

Greatest Common Factor

We found the factors 644,7216 . The biggest common factor number is the GCF number.
So the greatest common factor 644,7216 is 4.

Lets's calculate LCM of 69,102

3 69, 102
23, 34

∴ So the LCM of the given numbers is 3 x 23 x 34 = 2346

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/2346

Therefore, the GCF of Fractions 644/69,7216/102 is 4/2346

Least Common Multiple of 69,102 with GCF Formula

Least Common Multiple of 69,102 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 69,102 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(69,102) = 3

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

GCF(69,102) x common factors =3 x 1 = 3

LCM(69,102) = ( 69 × 102 ) / 3

LCM(69,102) = 7038 / 3

LCM(69,102) = 2346


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 644/69, 7216/102

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 644/69, 7216/102?

Answer: GCF of Numerators as per given numbers 644/69, 7216/102 is

GCF of Numerators i.e. for 644,7216 is 4

LCM of denominators i.e. for 69,102 is 2346.

Thus, GCF of Fractions is 4/2346.Finally, GCF of Fractions for 644/69, 7216/102 is 4/2346.