Greatest Common Factor of 5651/321, 1455/9338

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 5651/321, 1455/9338

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 5651/321,1455/9338

Given fractions are 5651/321,1455/9338

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 5651,1455

Greatest Common Factor of Numerators i.e. GCF of 5651,1455 is 1 .

LCM of Denominators means LCM of 321,9338 as per the given fractions.

LCM of 321,9338 is 2997498 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 5651,1455

GCF of Fractions 5651/321,1455/9338 is 1/2997498

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

Greatest Common Factor of 5651,1455 By Matching Biggest Common Factor Method

Greatest Common Factor of 5651,1455 By Matching Biggest Common Factor Method

Factors of 5651

List of positive integer factors of 5651 that divides 5651 without a remainder.

1,5651

Factors of 1455

List of positive integer factors of 1455 that divides 1455 without a remainder.

1,3,5,15,97,291,485,1455

Greatest Common Factor

We found the factors 5651,1455 . The biggest common factor number is the GCF number.
So the greatest common factor 5651,1455 is 1.

Lets's calculate LCM of 321,9338

Given numbers has no common factors except 1. So, there LCM is their product i.e 2997498

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2997498

Therefore, the GCF of Fractions 5651/321,1455/9338 is 1/2997498

Least Common Multiple of 321,9338 with GCF Formula

Least Common Multiple of 321,9338 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 321,9338 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(321,9338) = 1

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

GCF(321,9338) x common factors =1 x 1 = 1

LCM(321,9338) = ( 321 × 9338 ) / 1

LCM(321,9338) = 2997498 / 1

LCM(321,9338) = 2997498


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 5651/321, 1455/9338

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 5651/321, 1455/9338?

Answer: GCF of Numerators as per given numbers 5651/321, 1455/9338 is

GCF of Numerators i.e. for 5651,1455 is 1

LCM of denominators i.e. for 321,9338 is 2997498.

Thus, GCF of Fractions is 1/2997498.Finally, GCF of Fractions for 5651/321, 1455/9338 is 1/2997498.