Greatest Common Factor of 456/31, 4206/509

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 456/31, 4206/509

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 456/31,4206/509

Given fractions are 456/31,4206/509

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 456,4206

Greatest Common Factor of Numerators i.e. GCF of 456,4206 is 6 .

LCM of Denominators means LCM of 31,509 as per the given fractions.

LCM of 31,509 is 15779 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 456,4206

GCF of Fractions 456/31,4206/509 is 6/15779

2 456, 4206
3 228, 2103
76, 701

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 456,4206 By Matching Biggest Common Factor Method

Greatest Common Factor of 456,4206 By Matching Biggest Common Factor Method

Factors of 456

List of positive integer factors of 456 that divides 456 without a remainder.

1,2,3,4,6,8,12,19,24,38,57,76,114,152,228,456

Factors of 4206

List of positive integer factors of 4206 that divides 4206 without a remainder.

1,2,3,6,701,1402,2103,4206

Greatest Common Factor

We found the factors 456,4206 . The biggest common factor number is the GCF number.
So the greatest common factor 456,4206 is 6.

Lets's calculate LCM of 31,509

Given numbers has no common factors except 1. So, there LCM is their product i.e 15779

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/15779

Therefore, the GCF of Fractions 456/31,4206/509 is 6/15779

Least Common Multiple of 31,509 with GCF Formula

Least Common Multiple of 31,509 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 31,509 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(31,509) = 1

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

GCF(31,509) x common factors =1 x 1 = 1

LCM(31,509) = ( 31 × 509 ) / 1

LCM(31,509) = 15779 / 1

LCM(31,509) = 15779


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 456/31, 4206/509

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 456/31, 4206/509?

Answer: GCF of Numerators as per given numbers 456/31, 4206/509 is

GCF of Numerators i.e. for 456,4206 is 6

LCM of denominators i.e. for 31,509 is 15779.

Thus, GCF of Fractions is 6/15779.Finally, GCF of Fractions for 456/31, 4206/509 is 6/15779.