Greatest Common Factor of 31/421, 216/434

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 31/421, 216/434

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 31/421,216/434

Given fractions are 31/421,216/434

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 31,216

Greatest Common Factor of Numerators i.e. GCF of 31,216 is 1 .

LCM of Denominators means LCM of 421,434 as per the given fractions.

LCM of 421,434 is 182714 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 31,216

GCF of Fractions 31/421,216/434 is 1/182714

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

Greatest Common Factor of 31,216 By Matching Biggest Common Factor Method

Greatest Common Factor of 31,216 By Matching Biggest Common Factor Method

Factors of 31

List of positive integer factors of 31 that divides 31 without a remainder.

1,31

Factors of 216

List of positive integer factors of 216 that divides 216 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,108,216

Greatest Common Factor

We found the factors 31,216 . The biggest common factor number is the GCF number.
So the greatest common factor 31,216 is 1.

Lets's calculate LCM of 421,434

Given numbers has no common factors except 1. So, there LCM is their product i.e 182714

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/182714

Therefore, the GCF of Fractions 31/421,216/434 is 1/182714

Least Common Multiple of 421,434 with GCF Formula

Least Common Multiple of 421,434 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 421,434 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,434) = 1

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

GCF(421,434) x common factors =1 x 1 = 1

LCM(421,434) = ( 421 × 434 ) / 1

LCM(421,434) = 182714 / 1

LCM(421,434) = 182714


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 31/421, 216/434

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 31/421, 216/434?

Answer: GCF of Numerators as per given numbers 31/421, 216/434 is

GCF of Numerators i.e. for 31,216 is 1

LCM of denominators i.e. for 421,434 is 182714.

Thus, GCF of Fractions is 1/182714.Finally, GCF of Fractions for 31/421, 216/434 is 1/182714.