Greatest Common Factor of 706/756, 638/608

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 706/756, 638/608

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 706/756,638/608

Given fractions are 706/756,638/608

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 706,638

Greatest Common Factor of Numerators i.e. GCF of 706,638 is 2 .

LCM of Denominators means LCM of 756,608 as per the given fractions.

LCM of 756,608 is 114912 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 706,638

GCF of Fractions 706/756,638/608 is 2/114912

2 706, 638
353, 319

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

Greatest Common Factor of 706,638 By Matching Biggest Common Factor Method

Greatest Common Factor of 706,638 By Matching Biggest Common Factor Method

Factors of 706

List of positive integer factors of 706 that divides 706 without a remainder.

1,2,353,706

Factors of 638

List of positive integer factors of 638 that divides 638 without a remainder.

1,2,11,22,29,58,319,638

Greatest Common Factor

We found the factors 706,638 . The biggest common factor number is the GCF number.
So the greatest common factor 706,638 is 2.

Lets's calculate LCM of 756,608

2 756, 608
2 378, 304
189, 152

∴ So the LCM of the given numbers is 2 x 2 x 189 x 152 = 114912

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/114912

Therefore, the GCF of Fractions 706/756,638/608 is 2/114912

Least Common Multiple of 756,608 with GCF Formula

Least Common Multiple of 756,608 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 756,608 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(756,608) = 4

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

GCF(756,608) x common factors =4 x 1 = 4

LCM(756,608) = ( 756 × 608 ) / 4

LCM(756,608) = 459648 / 4

LCM(756,608) = 114912


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 706/756, 638/608

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 706/756, 638/608?

Answer: GCF of Numerators as per given numbers 706/756, 638/608 is

GCF of Numerators i.e. for 706,638 is 2

LCM of denominators i.e. for 756,608 is 114912.

Thus, GCF of Fractions is 2/114912.Finally, GCF of Fractions for 706/756, 638/608 is 2/114912.