Greatest Common Factor of 431/16, 786/1616

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 431/16, 786/1616

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 431/16,786/1616

Given fractions are 431/16,786/1616

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 431,786

Greatest Common Factor of Numerators i.e. GCF of 431,786 is 1 .

LCM of Denominators means LCM of 16,1616 as per the given fractions.

LCM of 16,1616 is 1616 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 431,786

GCF of Fractions 431/16,786/1616 is 1/1616

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

Greatest Common Factor of 431,786 By Matching Biggest Common Factor Method

Greatest Common Factor of 431,786 By Matching Biggest Common Factor Method

Factors of 431

List of positive integer factors of 431 that divides 431 without a remainder.

1,431

Factors of 786

List of positive integer factors of 786 that divides 786 without a remainder.

1,2,3,6,131,262,393,786

Greatest Common Factor

We found the factors 431,786 . The biggest common factor number is the GCF number.
So the greatest common factor 431,786 is 1.

Lets's calculate LCM of 16,1616

2 16, 1616
2 8, 808
2 4, 404
2 2, 202
1, 101

∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 1 x 101 = 1616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1616

Therefore, the GCF of Fractions 431/16,786/1616 is 1/1616

Least Common Multiple of 16,1616 with GCF Formula

Least Common Multiple of 16,1616 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 16,1616 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(16,1616) = 16

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

GCF(16,1616) x common factors =16 x 1 = 16

LCM(16,1616) = ( 16 × 1616 ) / 16

LCM(16,1616) = 25856 / 16

LCM(16,1616) = 1616


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 431/16, 786/1616

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 431/16, 786/1616?

Answer: GCF of Numerators as per given numbers 431/16, 786/1616 is

GCF of Numerators i.e. for 431,786 is 1

LCM of denominators i.e. for 16,1616 is 1616.

Thus, GCF of Fractions is 1/1616.Finally, GCF of Fractions for 431/16, 786/1616 is 1/1616.