Greatest Common Factor of 461/31, 822/36, 857/365

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 461/31, 822/36, 857/365

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 461/31,822/36,857/365

Given fractions are 461/31,822/36,857/365

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 461,822,857

Greatest Common Factor of Numerators i.e. GCF of 461,822,857 is 1 .

LCM of Denominators means LCM of 31,36,365 as per the given fractions.

LCM of 31,36,365 is 407340 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 461,822,857

GCF of Fractions 461/31,822/36,857/365 is 1/407340

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

Greatest Common Factor of 461,822,857 By Matching Biggest Common Factor Method

Greatest Common Factor of 461,822,857 By Matching Biggest Common Factor Method

Factors of 461

List of positive integer factors of 461 that divides 461 without a remainder.

1,461

Factors of 822

List of positive integer factors of 822 that divides 822 without a remainder.

1,2,3,6,137,274,411,822

Factors of 857

List of positive integer factors of 857 that divides 857 without a remainder.

1,857

Greatest Common Factor

We found the factors 461,822,857 . The biggest common factor number is the GCF number.
So the greatest common factor 461,822,857 is 1.

Lets's calculate LCM of 31,36,365

Given numbers has no common factors except 1. So, there LCM is their product i.e 407340

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/407340

Therefore, the GCF of Fractions 461/31,822/36,857/365 is 1/407340

Least Common Multiple of 31,36,365 with GCF Formula

Least Common Multiple of 31,36,365 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 31,36,365 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,36,365) = 1

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

GCF(31,36,365) x common factors =1 x 1 = 1

LCM(31,36,365) = ( 31 × 36 × 365 ) / 1

LCM(31,36,365) = 407340 / 1

LCM(31,36,365) = 407340


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 461/31, 822/36, 857/365

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 461/31, 822/36, 857/365?

Answer: GCF of Numerators as per given numbers 461/31, 822/36, 857/365 is

GCF of Numerators i.e. for 461,822,857 is 1

LCM of denominators i.e. for 31,36,365 is 407340.

Thus, GCF of Fractions is 1/407340.Finally, GCF of Fractions for 461/31, 822/36, 857/365 is 1/407340.