Greatest Common Factor of 1096/42, 3330/457

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1096/42, 3330/457

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 1096/42,3330/457

Given fractions are 1096/42,3330/457

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 1096,3330

Greatest Common Factor of Numerators i.e. GCF of 1096,3330 is 2 .

LCM of Denominators means LCM of 42,457 as per the given fractions.

LCM of 42,457 is 19194 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1096,3330

GCF of Fractions 1096/42,3330/457 is 2/19194

2 1096, 3330
548, 1665

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 1096,3330 By Matching Biggest Common Factor Method

Greatest Common Factor of 1096,3330 By Matching Biggest Common Factor Method

Factors of 1096

List of positive integer factors of 1096 that divides 1096 without a remainder.

1,2,4,8,137,274,548,1096

Factors of 3330

List of positive integer factors of 3330 that divides 3330 without a remainder.

1,2,3,5,6,9,10,15,18,30,37,45,74,90,111,185,222,333,370,555,666,1110,1665,3330

Greatest Common Factor

We found the factors 1096,3330 . The biggest common factor number is the GCF number.
So the greatest common factor 1096,3330 is 2.

Lets's calculate LCM of 42,457

Given numbers has no common factors except 1. So, there LCM is their product i.e 19194

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/19194

Therefore, the GCF of Fractions 1096/42,3330/457 is 2/19194

Least Common Multiple of 42,457 with GCF Formula

Least Common Multiple of 42,457 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 42,457 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(42,457) = 1

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

GCF(42,457) x common factors =1 x 1 = 1

LCM(42,457) = ( 42 × 457 ) / 1

LCM(42,457) = 19194 / 1

LCM(42,457) = 19194


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 1096/42, 3330/457

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 1096/42, 3330/457?

Answer: GCF of Numerators as per given numbers 1096/42, 3330/457 is

GCF of Numerators i.e. for 1096,3330 is 2

LCM of denominators i.e. for 42,457 is 19194.

Thus, GCF of Fractions is 2/19194.Finally, GCF of Fractions for 1096/42, 3330/457 is 2/19194.