Greatest Common Factor of 3506/473, 6473/6398

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3506/473, 6473/6398

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 3506/473,6473/6398

Given fractions are 3506/473,6473/6398

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 3506,6473

Greatest Common Factor of Numerators i.e. GCF of 3506,6473 is 1 .

LCM of Denominators means LCM of 473,6398 as per the given fractions.

LCM of 473,6398 is 3026254 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3506,6473

GCF of Fractions 3506/473,6473/6398 is 1/3026254

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

Greatest Common Factor of 3506,6473 By Matching Biggest Common Factor Method

Greatest Common Factor of 3506,6473 By Matching Biggest Common Factor Method

Factors of 3506

List of positive integer factors of 3506 that divides 3506 without a remainder.

1,2,1753,3506

Factors of 6473

List of positive integer factors of 6473 that divides 6473 without a remainder.

1,6473

Greatest Common Factor

We found the factors 3506,6473 . The biggest common factor number is the GCF number.
So the greatest common factor 3506,6473 is 1.

Lets's calculate LCM of 473,6398

Given numbers has no common factors except 1. So, there LCM is their product i.e 3026254

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3026254

Therefore, the GCF of Fractions 3506/473,6473/6398 is 1/3026254

Least Common Multiple of 473,6398 with GCF Formula

Least Common Multiple of 473,6398 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 473,6398 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(473,6398) = 1

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

GCF(473,6398) x common factors =1 x 1 = 1

LCM(473,6398) = ( 473 × 6398 ) / 1

LCM(473,6398) = 3026254 / 1

LCM(473,6398) = 3026254


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 3506/473, 6473/6398

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 3506/473, 6473/6398?

Answer: GCF of Numerators as per given numbers 3506/473, 6473/6398 is

GCF of Numerators i.e. for 3506,6473 is 1

LCM of denominators i.e. for 473,6398 is 3026254.

Thus, GCF of Fractions is 1/3026254.Finally, GCF of Fractions for 3506/473, 6473/6398 is 1/3026254.