Greatest Common Factor of 764/23, 754/77, 342/67

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 764/23, 754/77, 342/67

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 764/23,754/77,342/67

Given fractions are 764/23,754/77,342/67

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 764,754,342

Greatest Common Factor of Numerators i.e. GCF of 764,754,342 is 2 .

LCM of Denominators means LCM of 23,77,67 as per the given fractions.

LCM of 23,77,67 is 118657 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 764,754,342

GCF of Fractions 764/23,754/77,342/67 is 2/118657

2 764, 754, 342
382, 377, 171

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

Greatest Common Factor of 764,754,342 By Matching Biggest Common Factor Method

Greatest Common Factor of 764,754,342 By Matching Biggest Common Factor Method

Factors of 764

List of positive integer factors of 764 that divides 764 without a remainder.

1,2,4,191,382,764

Factors of 754

List of positive integer factors of 754 that divides 754 without a remainder.

1,2,13,26,29,58,377,754

Factors of 342

List of positive integer factors of 342 that divides 342 without a remainder.

1,2,3,6,9,18,19,38,57,114,171,342

Greatest Common Factor

We found the factors 764,754,342 . The biggest common factor number is the GCF number.
So the greatest common factor 764,754,342 is 2.

Lets's calculate LCM of 23,77,67

Given numbers has no common factors except 1. So, there LCM is their product i.e 118657

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/118657

Therefore, the GCF of Fractions 764/23,754/77,342/67 is 2/118657

Least Common Multiple of 23,77,67 with GCF Formula

Least Common Multiple of 23,77,67 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 23,77,67 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(23,77,67) = 1

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

GCF(23,77,67) x common factors =1 x 1 = 1

LCM(23,77,67) = ( 23 × 77 × 67 ) / 1

LCM(23,77,67) = 118657 / 1

LCM(23,77,67) = 118657


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 764/23, 754/77, 342/67

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 764/23, 754/77, 342/67?

Answer: GCF of Numerators as per given numbers 764/23, 754/77, 342/67 is

GCF of Numerators i.e. for 764,754,342 is 2

LCM of denominators i.e. for 23,77,67 is 118657.

Thus, GCF of Fractions is 2/118657.Finally, GCF of Fractions for 764/23, 754/77, 342/67 is 2/118657.