Greatest Common Factor of 208/32, 699/75, 609/62

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 208/32, 699/75, 609/62

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 208/32,699/75,609/62

Given fractions are 208/32,699/75,609/62

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 208,699,609

Greatest Common Factor of Numerators i.e. GCF of 208,699,609 is 1 .

LCM of Denominators means LCM of 32,75,62 as per the given fractions.

LCM of 32,75,62 is 74400 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 208,699,609

GCF of Fractions 208/32,699/75,609/62 is 1/74400

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

Greatest Common Factor of 208,699,609 By Matching Biggest Common Factor Method

Greatest Common Factor of 208,699,609 By Matching Biggest Common Factor Method

Factors of 208

List of positive integer factors of 208 that divides 208 without a remainder.

1,2,4,8,13,16,26,52,104,208

Factors of 699

List of positive integer factors of 699 that divides 699 without a remainder.

1,3,233,699

Factors of 609

List of positive integer factors of 609 that divides 609 without a remainder.

1,3,7,21,29,87,203,609

Greatest Common Factor

We found the factors 208,699,609 . The biggest common factor number is the GCF number.
So the greatest common factor 208,699,609 is 1.

Lets's calculate LCM of 32,75,62

2 32, 75, 62
16, 75, 31

∴ So the LCM of the given numbers is 2 x 16 x 75 x 31 = 74400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/74400

Therefore, the GCF of Fractions 208/32,699/75,609/62 is 1/74400

Least Common Multiple of 32,75,62 with GCF Formula

Least Common Multiple of 32,75,62 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 32,75,62 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(32,75,62) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(32,75,62) x common factors =1 x 2 = 2

LCM(32,75,62) = ( 32 × 75 × 62 ) / 2

LCM(32,75,62) = 148800 / 2

LCM(32,75,62) = 74400


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 208/32, 699/75, 609/62

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 208/32, 699/75, 609/62?

Answer: GCF of Numerators as per given numbers 208/32, 699/75, 609/62 is

GCF of Numerators i.e. for 208,699,609 is 1

LCM of denominators i.e. for 32,75,62 is 74400.

Thus, GCF of Fractions is 1/74400.Finally, GCF of Fractions for 208/32, 699/75, 609/62 is 1/74400.