Greatest Common Factor of 735/690, 381/168, 134/106

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 735/690, 381/168, 134/106

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 735/690,381/168,134/106

Given fractions are 735/690,381/168,134/106

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 735,381,134

Greatest Common Factor of Numerators i.e. GCF of 735,381,134 is 1 .

LCM of Denominators means LCM of 690,168,106 as per the given fractions.

LCM of 690,168,106 is 1023960 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 735,381,134

GCF of Fractions 735/690,381/168,134/106 is 1/1023960

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

Greatest Common Factor of 735,381,134 By Matching Biggest Common Factor Method

Greatest Common Factor of 735,381,134 By Matching Biggest Common Factor Method

Factors of 735

List of positive integer factors of 735 that divides 735 without a remainder.

1,3,5,7,15,21,35,49,105,147,245,735

Factors of 381

List of positive integer factors of 381 that divides 381 without a remainder.

1,3,127,381

Factors of 134

List of positive integer factors of 134 that divides 134 without a remainder.

1,2,67,134

Greatest Common Factor

We found the factors 735,381,134 . The biggest common factor number is the GCF number.
So the greatest common factor 735,381,134 is 1.

Lets's calculate LCM of 690,168,106

2 690, 168, 106
3 345, 84, 53
115, 28, 53

∴ So the LCM of the given numbers is 2 x 3 x 115 x 28 x 53 = 1023960

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1023960

Therefore, the GCF of Fractions 735/690,381/168,134/106 is 1/1023960

Least Common Multiple of 690,168,106 with GCF Formula

Least Common Multiple of 690,168,106 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 690,168,106 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(690,168,106) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(690,168,106) x common factors =2 x 6 = 12

LCM(690,168,106) = ( 690 × 168 × 106 ) / 12

LCM(690,168,106) = 12287520 / 12

LCM(690,168,106) = 1023960


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 735/690, 381/168, 134/106

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 735/690, 381/168, 134/106?

Answer: GCF of Numerators as per given numbers 735/690, 381/168, 134/106 is

GCF of Numerators i.e. for 735,381,134 is 1

LCM of denominators i.e. for 690,168,106 is 1023960.

Thus, GCF of Fractions is 1/1023960.Finally, GCF of Fractions for 735/690, 381/168, 134/106 is 1/1023960.