Greatest Common Factor of 4689/354, 3817/420

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 4689/354, 3817/420

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 4689/354,3817/420

Given fractions are 4689/354,3817/420

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 4689,3817

Greatest Common Factor of Numerators i.e. GCF of 4689,3817 is 1 .

LCM of Denominators means LCM of 354,420 as per the given fractions.

LCM of 354,420 is 24780 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 4689,3817

GCF of Fractions 4689/354,3817/420 is 1/24780

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

Greatest Common Factor of 4689,3817 By Matching Biggest Common Factor Method

Greatest Common Factor of 4689,3817 By Matching Biggest Common Factor Method

Factors of 4689

List of positive integer factors of 4689 that divides 4689 without a remainder.

1,3,9,521,1563,4689

Factors of 3817

List of positive integer factors of 3817 that divides 3817 without a remainder.

1,11,347,3817

Greatest Common Factor

We found the factors 4689,3817 . The biggest common factor number is the GCF number.
So the greatest common factor 4689,3817 is 1.

Lets's calculate LCM of 354,420

2 354, 420
3 177, 210
59, 70

∴ So the LCM of the given numbers is 2 x 3 x 59 x 70 = 24780

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/24780

Therefore, the GCF of Fractions 4689/354,3817/420 is 1/24780

Least Common Multiple of 354,420 with GCF Formula

Least Common Multiple of 354,420 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 354,420 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(354,420) = 6

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

GCF(354,420) x common factors =6 x 1 = 6

LCM(354,420) = ( 354 × 420 ) / 6

LCM(354,420) = 148680 / 6

LCM(354,420) = 24780


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 4689/354, 3817/420

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 4689/354, 3817/420?

Answer: GCF of Numerators as per given numbers 4689/354, 3817/420 is

GCF of Numerators i.e. for 4689,3817 is 1

LCM of denominators i.e. for 354,420 is 24780.

Thus, GCF of Fractions is 1/24780.Finally, GCF of Fractions for 4689/354, 3817/420 is 1/24780.