Greatest Common Factor of 434/46, 863/87, 141/580

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 434/46, 863/87, 141/580

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 434/46,863/87,141/580

Given fractions are 434/46,863/87,141/580

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 434,863,141

Greatest Common Factor of Numerators i.e. GCF of 434,863,141 is 1 .

LCM of Denominators means LCM of 46,87,580 as per the given fractions.

LCM of 46,87,580 is 40020 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 434,863,141

GCF of Fractions 434/46,863/87,141/580 is 1/40020

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

Greatest Common Factor of 434,863,141 By Matching Biggest Common Factor Method

Greatest Common Factor of 434,863,141 By Matching Biggest Common Factor Method

Factors of 434

List of positive integer factors of 434 that divides 434 without a remainder.

1,2,7,14,31,62,217,434

Factors of 863

List of positive integer factors of 863 that divides 863 without a remainder.

1,863

Factors of 141

List of positive integer factors of 141 that divides 141 without a remainder.

1,3,47,141

Greatest Common Factor

We found the factors 434,863,141 . The biggest common factor number is the GCF number.
So the greatest common factor 434,863,141 is 1.

Lets's calculate LCM of 46,87,580

2 46, 87, 580
29 23, 87, 290
23, 3, 10

∴ So the LCM of the given numbers is 2 x 29 x 23 x 3 x 10 = 40020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40020

Therefore, the GCF of Fractions 434/46,863/87,141/580 is 1/40020

Least Common Multiple of 46,87,580 with GCF Formula

Least Common Multiple of 46,87,580 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 46,87,580 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(46,87,580) = 1

common factors(in case of two or more numbers have common factors) = 58

GCF(46,87,580) x common factors =1 x 58 = 58

LCM(46,87,580) = ( 46 × 87 × 580 ) / 58

LCM(46,87,580) = 2321160 / 58

LCM(46,87,580) = 40020


GCF of Fractions Calculation Examples

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GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 434/46, 863/87, 141/580

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 434/46, 863/87, 141/580?

Answer: GCF of Numerators as per given numbers 434/46, 863/87, 141/580 is

GCF of Numerators i.e. for 434,863,141 is 1

LCM of denominators i.e. for 46,87,580 is 40020.

Thus, GCF of Fractions is 1/40020.Finally, GCF of Fractions for 434/46, 863/87, 141/580 is 1/40020.