Greatest Common Factor of 411/84, 262/76, 434/282

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 411/84, 262/76, 434/282

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 411/84,262/76,434/282

Given fractions are 411/84,262/76,434/282

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 411,262,434

Greatest Common Factor of Numerators i.e. GCF of 411,262,434 is 1 .

LCM of Denominators means LCM of 84,76,282 as per the given fractions.

LCM of 84,76,282 is 75012 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 411,262,434

GCF of Fractions 411/84,262/76,434/282 is 1/75012

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

Greatest Common Factor of 411,262,434 By Matching Biggest Common Factor Method

Greatest Common Factor of 411,262,434 By Matching Biggest Common Factor Method

Factors of 411

List of positive integer factors of 411 that divides 411 without a remainder.

1,3,137,411

Factors of 262

List of positive integer factors of 262 that divides 262 without a remainder.

1,2,131,262

Factors of 434

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

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

Greatest Common Factor

We found the factors 411,262,434 . The biggest common factor number is the GCF number.
So the greatest common factor 411,262,434 is 1.

Lets's calculate LCM of 84,76,282

2 84, 76, 282
2 42, 38, 141
3 21, 19, 141
7, 19, 47

∴ So the LCM of the given numbers is 2 x 2 x 3 x 7 x 19 x 47 = 75012

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/75012

Therefore, the GCF of Fractions 411/84,262/76,434/282 is 1/75012

Least Common Multiple of 84,76,282 with GCF Formula

Least Common Multiple of 84,76,282 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 84,76,282 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(84,76,282) = 2

common factors(in case of two or more numbers have common factors) = 12

GCF(84,76,282) x common factors =2 x 12 = 24

LCM(84,76,282) = ( 84 × 76 × 282 ) / 24

LCM(84,76,282) = 1800288 / 24

LCM(84,76,282) = 75012


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 411/84, 262/76, 434/282

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 411/84, 262/76, 434/282?

Answer: GCF of Numerators as per given numbers 411/84, 262/76, 434/282 is

GCF of Numerators i.e. for 411,262,434 is 1

LCM of denominators i.e. for 84,76,282 is 75012.

Thus, GCF of Fractions is 1/75012.Finally, GCF of Fractions for 411/84, 262/76, 434/282 is 1/75012.