How to Find GCF of 3084/790, 5507/7312?

GCF of 3084/790, 5507/7312

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 3084/790, 5507/7312 i.e 1/2888240 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3084/790, 5507/7312.

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 3084/790,5507/7312?

Given fractions are 3084/790,5507/7312

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 3084/790,5507/7312, numerators are 3084,5507

Denominators are 790,7312

The GCF of 3084,5507 is 1 .

LCM of 790,7312 is 2888240.

The greatest common factor of 3084/790,5507/7312 = [GCF of 3084,5507]/[LCM of 790,7312]= 1/2888240

Therefore, the GCF of 3084/790,5507/7312 is 1/2888240.

Greatest Common Factor of 3084,5507

To find the highest common factor of 3084,5507, we have to find the factors of both numbers and list the highest common factor.

The factors of 3084 are 1, 2, 3, 4, 6, 12, 257, 514, 771, 1028, 1542, 3084

The factors of 5507 are 1, 5507

The HCF of 3084,5507 is 1.

Lets's calculate GCF of 3084,5507

Greatest Common Factor (GCF) of 3084,5507 By Common Division

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

Greatest Common Factor of 3084,5507 By Matching Biggest Common Factor Method

Now, list down the factors of 3084

1,2,3,4,6,12,257,514,771,1028,1542,3084

Now, list down the factors of 5507

1,5507

Greatest Common Factor

We found the factors 3084,5507 . The biggest common factor number is the GCF number.
So the greatest common factor 3084,5507 is 1.

Lets's calculate LCM of 790,7312

Lowest Common Multiple of 790,7312 using Common Division

2	790, 7312
	395, 3656

∴ So the LCM of the given numbers is 2 x 395 x 3656 = 2888240

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2888240

Therefore, the GCF of Fractions 3084/790,5507/7312 is 1/2888240

Least Common Multiple of 790,7312 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 790,7312 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(790,7312) = 2

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

GCF(790,7312) x common factors =2 x 1 = 2

LCM(790,7312) = ( 790 × 7312 ) / 2

LCM(790,7312) = 5776480 / 2

LCM(790,7312) = 2888240

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 3084/790, 5507/7312

1. What is the HCF of 3084,5507?

The HCF of 3084,5507 is 1

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 3084/790, 5507/7312?

Answer: GCF of Numerators as per given numbers 3084/790, 5507/7312 is

GCF of Numerators i.e. for 3084,5507 is 1

LCM of denominators i.e. for 790,7312 is 2888240.

Thus, GCF of Fractions is 1/2888240.Finally, GCF of Fractions for 3084/790, 5507/7312 is 1/2888240.