How to Find GCF of 3378/944, 7878/1515?

GCF of 3378/944, 7878/1515

Created By : Veerendra
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023

Use our free GCF of Fractions Calculator tool to compute the GCF of 3378/944, 7878/1515 i.e 6/1430160 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3378/944, 7878/1515.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 3378/944,7878/1515?

Given fractions are 3378/944,7878/1515

To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by

GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators

In the fractions 3378/944,7878/1515, numerators are 3378,7878

Denominators are 944,1515

The GCF of 3378,7878 is 6 .

LCM of 944,1515 is 1430160.

The greatest common factor of 3378/944,7878/1515 = [GCF of 3378,7878]/[LCM of 944,1515]= 6/1430160

Therefore, the GCF of 3378/944,7878/1515 is 6/1430160.

Greatest Common Factor of 3378,7878

To find the highest common factor of 3378,7878, we have to find the factors of both numbers and list the highest common factor.

The factors of 3378 are 1, 2, 3, 6, 563, 1126, 1689, 3378

The factors of 7878 are 1, 2, 3, 6, 13, 26, 39, 78, 101, 202, 303, 606, 1313, 2626, 3939, 7878

The HCF of 3378,7878 is 6.

Lets's calculate GCF of 3378,7878

Greatest Common Factor (GCF) of 3378,7878 By Common Division

2	3378, 7878
3	1689, 3939
	563, 1313

∴ So the GCF of the given numbers is 2 x 3 = 6

Greatest Common Factor of 3378,7878 By Matching Biggest Common Factor Method

Now, list down the factors of 3378

1,2,3,6,563,1126,1689,3378

Now, list down the factors of 7878

1,2,3,6,13,26,39,78,101,202,303,606,1313,2626,3939,7878

Greatest Common Factor

We found the factors 3378,7878 . The biggest common factor number is the GCF number.
So the greatest common factor 3378,7878 is 6.

Lets's calculate LCM of 944,1515

Lowest Common Multiple of 944,1515 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1430160

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1430160

Therefore, the GCF of Fractions 3378/944,7878/1515 is 6/1430160

Least Common Multiple of 944,1515 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 944,1515 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(944,1515) = 1

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

GCF(944,1515) x common factors =1 x 1 = 1

LCM(944,1515) = ( 944 × 1515 ) / 1

LCM(944,1515) = 1430160 / 1

LCM(944,1515) = 1430160

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3378/944, 7878/1515

1. What is the HCF of 3378,7878?

The HCF of 3378,7878 is 6

2. What is the GCF of a fraction?

The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.

3. 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.

4. What is the GCF of Fractions for 3378/944, 7878/1515?

Answer: GCF of Numerators as per given numbers 3378/944, 7878/1515 is

GCF of Numerators i.e. for 3378,7878 is 6

LCM of denominators i.e. for 944,1515 is 1430160.

Thus, GCF of Fractions is 6/1430160.Finally, GCF of Fractions for 3378/944, 7878/1515 is 6/1430160.