Greatest Common Factor of 430/323, 786/509, 718/188

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/323, 786/509, 718/188

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 430/323,786/509,718/188

Given fractions are 430/323,786/509,718/188

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 430,786,718

Greatest Common Factor of Numerators i.e. GCF of 430,786,718 is 2 .

LCM of Denominators means LCM of 323,509,188 as per the given fractions.

LCM of 323,509,188 is 30908516 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,786,718

GCF of Fractions 430/323,786/509,718/188 is 2/30908516

2 430, 786, 718
215, 393, 359

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

Greatest Common Factor of 430,786,718 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,786,718 By Matching Biggest Common Factor Method

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 786

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

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

Factors of 718

List of positive integer factors of 718 that divides 718 without a remainder.

1,2,359,718

Greatest Common Factor

We found the factors 430,786,718 . The biggest common factor number is the GCF number.
So the greatest common factor 430,786,718 is 2.

Lets's calculate LCM of 323,509,188

Given numbers has no common factors except 1. So, there LCM is their product i.e 30908516

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/30908516

Therefore, the GCF of Fractions 430/323,786/509,718/188 is 2/30908516

Least Common Multiple of 323,509,188 with GCF Formula

Least Common Multiple of 323,509,188 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 323,509,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(323,509,188) = 1

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

GCF(323,509,188) x common factors =1 x 1 = 1

LCM(323,509,188) = ( 323 × 509 × 188 ) / 1

LCM(323,509,188) = 30908516 / 1

LCM(323,509,188) = 30908516


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 430/323, 786/509, 718/188

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 430/323, 786/509, 718/188?

Answer: GCF of Numerators as per given numbers 430/323, 786/509, 718/188 is

GCF of Numerators i.e. for 430,786,718 is 2

LCM of denominators i.e. for 323,509,188 is 30908516.

Thus, GCF of Fractions is 2/30908516.Finally, GCF of Fractions for 430/323, 786/509, 718/188 is 2/30908516.