Greatest Common Factor of 3497/951, 4455/3506

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3497/951, 4455/3506

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 3497/951,4455/3506

Given fractions are 3497/951,4455/3506

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 3497,4455

Greatest Common Factor of Numerators i.e. GCF of 3497,4455 is 1 .

LCM of Denominators means LCM of 951,3506 as per the given fractions.

LCM of 951,3506 is 3334206 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3497,4455

GCF of Fractions 3497/951,4455/3506 is 1/3334206

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

Greatest Common Factor of 3497,4455 By Matching Biggest Common Factor Method

Greatest Common Factor of 3497,4455 By Matching Biggest Common Factor Method

Factors of 3497

List of positive integer factors of 3497 that divides 3497 without a remainder.

1,13,269,3497

Factors of 4455

List of positive integer factors of 4455 that divides 4455 without a remainder.

1,3,5,9,11,15,27,33,45,55,81,99,135,165,297,405,495,891,1485,4455

Greatest Common Factor

We found the factors 3497,4455 . The biggest common factor number is the GCF number.
So the greatest common factor 3497,4455 is 1.

Lets's calculate LCM of 951,3506

Given numbers has no common factors except 1. So, there LCM is their product i.e 3334206

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3334206

Therefore, the GCF of Fractions 3497/951,4455/3506 is 1/3334206

Least Common Multiple of 951,3506 with GCF Formula

Least Common Multiple of 951,3506 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 951,3506 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(951,3506) = 1

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

GCF(951,3506) x common factors =1 x 1 = 1

LCM(951,3506) = ( 951 × 3506 ) / 1

LCM(951,3506) = 3334206 / 1

LCM(951,3506) = 3334206


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 3497/951, 4455/3506

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 3497/951, 4455/3506?

Answer: GCF of Numerators as per given numbers 3497/951, 4455/3506 is

GCF of Numerators i.e. for 3497,4455 is 1

LCM of denominators i.e. for 951,3506 is 3334206.

Thus, GCF of Fractions is 1/3334206.Finally, GCF of Fractions for 3497/951, 4455/3506 is 1/3334206.