Greatest Common Factor of 739/77, 165/77, 114/301

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 739/77, 165/77, 114/301

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 739/77,165/77,114/301

Given fractions are 739/77,165/77,114/301

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 739,165,114

Greatest Common Factor of Numerators i.e. GCF of 739,165,114 is 1 .

LCM of Denominators means LCM of 77,77,301 as per the given fractions.

LCM of 77,77,301 is 3311 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 739,165,114

GCF of Fractions 739/77,165/77,114/301 is 1/3311

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

Greatest Common Factor of 739,165,114 By Matching Biggest Common Factor Method

Greatest Common Factor of 739,165,114 By Matching Biggest Common Factor Method

Factors of 739

List of positive integer factors of 739 that divides 739 without a remainder.

1,739

Factors of 165

List of positive integer factors of 165 that divides 165 without a remainder.

1,3,5,11,15,33,55,165

Factors of 114

List of positive integer factors of 114 that divides 114 without a remainder.

1,2,3,6,19,38,57,114

Greatest Common Factor

We found the factors 739,165,114 . The biggest common factor number is the GCF number.
So the greatest common factor 739,165,114 is 1.

Lets's calculate LCM of 77,77,301

7 77, 77, 301
11 11, 11, 43
1, 1, 43

∴ So the LCM of the given numbers is 7 x 11 x 1 x 1 x 43 = 3311

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3311

Therefore, the GCF of Fractions 739/77,165/77,114/301 is 1/3311

Least Common Multiple of 77,77,301 with GCF Formula

Least Common Multiple of 77,77,301 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 77,77,301 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(77,77,301) = 7

common factors(in case of two or more numbers have common factors) = 77

GCF(77,77,301) x common factors =7 x 77 = 539

LCM(77,77,301) = ( 77 × 77 × 301 ) / 539

LCM(77,77,301) = 1784629 / 539

LCM(77,77,301) = 3311


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 739/77, 165/77, 114/301

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 739/77, 165/77, 114/301?

Answer: GCF of Numerators as per given numbers 739/77, 165/77, 114/301 is

GCF of Numerators i.e. for 739,165,114 is 1

LCM of denominators i.e. for 77,77,301 is 3311.

Thus, GCF of Fractions is 1/3311.Finally, GCF of Fractions for 739/77, 165/77, 114/301 is 1/3311.