Greatest Common Factor of 733/84, 762/75, 658/42

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 733/84, 762/75, 658/42

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 733/84,762/75,658/42

Given fractions are 733/84,762/75,658/42

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 733,762,658

Greatest Common Factor of Numerators i.e. GCF of 733,762,658 is 1 .

LCM of Denominators means LCM of 84,75,42 as per the given fractions.

LCM of 84,75,42 is 2100 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 733,762,658

GCF of Fractions 733/84,762/75,658/42 is 1/2100

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

Greatest Common Factor of 733,762,658 By Matching Biggest Common Factor Method

Greatest Common Factor of 733,762,658 By Matching Biggest Common Factor Method

Factors of 733

List of positive integer factors of 733 that divides 733 without a remainder.

1,733

Factors of 762

List of positive integer factors of 762 that divides 762 without a remainder.

1,2,3,6,127,254,381,762

Factors of 658

List of positive integer factors of 658 that divides 658 without a remainder.

1,2,7,14,47,94,329,658

Greatest Common Factor

We found the factors 733,762,658 . The biggest common factor number is the GCF number.
So the greatest common factor 733,762,658 is 1.

Lets's calculate LCM of 84,75,42

2 84, 75, 42
3 42, 75, 21
7 14, 25, 7
2, 25, 1

∴ So the LCM of the given numbers is 2 x 3 x 7 x 2 x 25 x 1 = 2100

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2100

Therefore, the GCF of Fractions 733/84,762/75,658/42 is 1/2100

Least Common Multiple of 84,75,42 with GCF Formula

Least Common Multiple of 84,75,42 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 84,75,42 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,75,42) = 3

common factors(in case of two or more numbers have common factors) = 42

GCF(84,75,42) x common factors =3 x 42 = 126

LCM(84,75,42) = ( 84 × 75 × 42 ) / 126

LCM(84,75,42) = 264600 / 126

LCM(84,75,42) = 2100


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 733/84, 762/75, 658/42

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 733/84, 762/75, 658/42?

Answer: GCF of Numerators as per given numbers 733/84, 762/75, 658/42 is

GCF of Numerators i.e. for 733,762,658 is 1

LCM of denominators i.e. for 84,75,42 is 2100.

Thus, GCF of Fractions is 1/2100.Finally, GCF of Fractions for 733/84, 762/75, 658/42 is 1/2100.