Greatest Common Factor of 340/30, 769/648

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 340/30, 769/648

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 340/30,769/648

Given fractions are 340/30,769/648

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 340,769

Greatest Common Factor of Numerators i.e. GCF of 340,769 is 1 .

LCM of Denominators means LCM of 30,648 as per the given fractions.

LCM of 30,648 is 3240 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 340,769

GCF of Fractions 340/30,769/648 is 1/3240

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

Greatest Common Factor of 340,769 By Matching Biggest Common Factor Method

Greatest Common Factor of 340,769 By Matching Biggest Common Factor Method

Factors of 340

List of positive integer factors of 340 that divides 340 without a remainder.

1,2,4,5,10,17,20,34,68,85,170,340

Factors of 769

List of positive integer factors of 769 that divides 769 without a remainder.

1,769

Greatest Common Factor

We found the factors 340,769 . The biggest common factor number is the GCF number.
So the greatest common factor 340,769 is 1.

Lets's calculate LCM of 30,648

2 30, 648
3 15, 324
5, 108

∴ So the LCM of the given numbers is 2 x 3 x 5 x 108 = 3240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3240

Therefore, the GCF of Fractions 340/30,769/648 is 1/3240

Least Common Multiple of 30,648 with GCF Formula

Least Common Multiple of 30,648 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 30,648 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(30,648) = 6

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

GCF(30,648) x common factors =6 x 1 = 6

LCM(30,648) = ( 30 × 648 ) / 6

LCM(30,648) = 19440 / 6

LCM(30,648) = 3240


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 340/30, 769/648

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 340/30, 769/648?

Answer: GCF of Numerators as per given numbers 340/30, 769/648 is

GCF of Numerators i.e. for 340,769 is 1

LCM of denominators i.e. for 30,648 is 3240.

Thus, GCF of Fractions is 1/3240.Finally, GCF of Fractions for 340/30, 769/648 is 1/3240.