Greatest Common Factor of 3474/55, 5965/384

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3474/55, 5965/384

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 3474/55,5965/384

Given fractions are 3474/55,5965/384

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 3474,5965

Greatest Common Factor of Numerators i.e. GCF of 3474,5965 is 1 .

LCM of Denominators means LCM of 55,384 as per the given fractions.

LCM of 55,384 is 21120 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3474,5965

GCF of Fractions 3474/55,5965/384 is 1/21120

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

Greatest Common Factor of 3474,5965 By Matching Biggest Common Factor Method

Greatest Common Factor of 3474,5965 By Matching Biggest Common Factor Method

Factors of 3474

List of positive integer factors of 3474 that divides 3474 without a remainder.

1,2,3,6,9,18,193,386,579,1158,1737,3474

Factors of 5965

List of positive integer factors of 5965 that divides 5965 without a remainder.

1,5,1193,5965

Greatest Common Factor

We found the factors 3474,5965 . The biggest common factor number is the GCF number.
So the greatest common factor 3474,5965 is 1.

Lets's calculate LCM of 55,384

Given numbers has no common factors except 1. So, there LCM is their product i.e 21120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21120

Therefore, the GCF of Fractions 3474/55,5965/384 is 1/21120

Least Common Multiple of 55,384 with GCF Formula

Least Common Multiple of 55,384 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 55,384 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(55,384) = 1

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

GCF(55,384) x common factors =1 x 1 = 1

LCM(55,384) = ( 55 × 384 ) / 1

LCM(55,384) = 21120 / 1

LCM(55,384) = 21120


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 3474/55, 5965/384

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 3474/55, 5965/384?

Answer: GCF of Numerators as per given numbers 3474/55, 5965/384 is

GCF of Numerators i.e. for 3474,5965 is 1

LCM of denominators i.e. for 55,384 is 21120.

Thus, GCF of Fractions is 1/21120.Finally, GCF of Fractions for 3474/55, 5965/384 is 1/21120.