Greatest Common Factor of 786/80, 430/58, 734/110

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 786/80, 430/58, 734/110

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 786/80,430/58,734/110

Given fractions are 786/80,430/58,734/110

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 786,430,734

Greatest Common Factor of Numerators i.e. GCF of 786,430,734 is 2 .

LCM of Denominators means LCM of 80,58,110 as per the given fractions.

LCM of 80,58,110 is 25520 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 786,430,734

GCF of Fractions 786/80,430/58,734/110 is 2/25520

2 786, 430, 734
393, 215, 367

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

Greatest Common Factor of 786,430,734 By Matching Biggest Common Factor Method

Greatest Common Factor of 786,430,734 By Matching Biggest Common Factor Method

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Factors of 430

List of positive integer factors of 430 that divides 430 without a remainder.

1,2,5,10,43,86,215,430

Factors of 734

List of positive integer factors of 734 that divides 734 without a remainder.

1,2,367,734

Greatest Common Factor

We found the factors 786,430,734 . The biggest common factor number is the GCF number.
So the greatest common factor 786,430,734 is 2.

Lets's calculate LCM of 80,58,110

2 80, 58, 110
5 40, 29, 55
8, 29, 11

∴ So the LCM of the given numbers is 2 x 5 x 8 x 29 x 11 = 25520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/25520

Therefore, the GCF of Fractions 786/80,430/58,734/110 is 2/25520

Least Common Multiple of 80,58,110 with GCF Formula

Least Common Multiple of 80,58,110 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 80,58,110 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(80,58,110) = 2

common factors(in case of two or more numbers have common factors) = 10

GCF(80,58,110) x common factors =2 x 10 = 20

LCM(80,58,110) = ( 80 × 58 × 110 ) / 20

LCM(80,58,110) = 510400 / 20

LCM(80,58,110) = 25520


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 786/80, 430/58, 734/110

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 786/80, 430/58, 734/110?

Answer: GCF of Numerators as per given numbers 786/80, 430/58, 734/110 is

GCF of Numerators i.e. for 786,430,734 is 2

LCM of denominators i.e. for 80,58,110 is 25520.

Thus, GCF of Fractions is 2/25520.Finally, GCF of Fractions for 786/80, 430/58, 734/110 is 2/25520.