Greatest Common Factor of 430/22, 844/30, 605/714

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/22, 844/30, 605/714

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 430/22,844/30,605/714

Given fractions are 430/22,844/30,605/714

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 430,844,605

Greatest Common Factor of Numerators i.e. GCF of 430,844,605 is 1 .

LCM of Denominators means LCM of 22,30,714 as per the given fractions.

LCM of 22,30,714 is 39270 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,844,605

GCF of Fractions 430/22,844/30,605/714 is 1/39270

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

Greatest Common Factor of 430,844,605 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,844,605 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 844

List of positive integer factors of 844 that divides 844 without a remainder.

1,2,4,211,422,844

Factors of 605

List of positive integer factors of 605 that divides 605 without a remainder.

1,5,11,55,121,605

Greatest Common Factor

We found the factors 430,844,605 . The biggest common factor number is the GCF number.
So the greatest common factor 430,844,605 is 1.

Lets's calculate LCM of 22,30,714

2 22, 30, 714
3 11, 15, 357
11, 5, 119

∴ So the LCM of the given numbers is 2 x 3 x 11 x 5 x 119 = 39270

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/39270

Therefore, the GCF of Fractions 430/22,844/30,605/714 is 1/39270

Least Common Multiple of 22,30,714 with GCF Formula

Least Common Multiple of 22,30,714 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 22,30,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(22,30,714) = 2

common factors(in case of two or more numbers have common factors) = 6

GCF(22,30,714) x common factors =2 x 6 = 12

LCM(22,30,714) = ( 22 × 30 × 714 ) / 12

LCM(22,30,714) = 471240 / 12

LCM(22,30,714) = 39270


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 430/22, 844/30, 605/714

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 430/22, 844/30, 605/714?

Answer: GCF of Numerators as per given numbers 430/22, 844/30, 605/714 is

GCF of Numerators i.e. for 430,844,605 is 1

LCM of denominators i.e. for 22,30,714 is 39270.

Thus, GCF of Fractions is 1/39270.Finally, GCF of Fractions for 430/22, 844/30, 605/714 is 1/39270.