Greatest Common Factor of 430/31, 316/2814

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 430/31, 316/2814

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 430/31,316/2814

Given fractions are 430/31,316/2814

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 430,316

Greatest Common Factor of Numerators i.e. GCF of 430,316 is 2 .

LCM of Denominators means LCM of 31,2814 as per the given fractions.

LCM of 31,2814 is 87234 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 430,316

GCF of Fractions 430/31,316/2814 is 2/87234

2 430, 316
215, 158

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 430,316 By Matching Biggest Common Factor Method

Greatest Common Factor of 430,316 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 316

List of positive integer factors of 316 that divides 316 without a remainder.

1,2,4,79,158,316

Greatest Common Factor

We found the factors 430,316 . The biggest common factor number is the GCF number.
So the greatest common factor 430,316 is 2.

Lets's calculate LCM of 31,2814

Given numbers has no common factors except 1. So, there LCM is their product i.e 87234

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/87234

Therefore, the GCF of Fractions 430/31,316/2814 is 2/87234

Least Common Multiple of 31,2814 with GCF Formula

Least Common Multiple of 31,2814 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 31,2814 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,2814) = 1

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

GCF(31,2814) x common factors =1 x 1 = 1

LCM(31,2814) = ( 31 × 2814 ) / 1

LCM(31,2814) = 87234 / 1

LCM(31,2814) = 87234


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 430/31, 316/2814

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 430/31, 316/2814?

Answer: GCF of Numerators as per given numbers 430/31, 316/2814 is

GCF of Numerators i.e. for 430,316 is 2

LCM of denominators i.e. for 31,2814 is 87234.

Thus, GCF of Fractions is 2/87234.Finally, GCF of Fractions for 430/31, 316/2814 is 2/87234.