LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

GCF of 8155/284, 6117/756

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 8155/284, 6117/756 i.e 1/53676 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8155/284, 6117/756.

Enter two or more fractions separated by "commas"

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

GCF of:

What is the GCF of 8155/284,6117/756?

Given fractions are 8155/284,6117/756

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 8155/284,6117/756, numerators are 8155,6117

Denominators are 284,756

The GCF of 8155,6117 is 1 .

LCM of 284,756 is 53676.

The greatest common factor of 8155/284,6117/756 = [GCF of 8155,6117]/[LCM of 284,756]= 1/53676

Therefore, the GCF of 8155/284,6117/756 is 1/53676.

Greatest Common Factor of 8155,6117

To find the highest common factor of 8155,6117, we have to find the factors of both numbers and list the highest common factor.

The factors of 8155 are 1, 5, 7, 35, 233, 1165, 1631, 8155

The factors of 6117 are 1, 3, 2039, 6117

The HCF of 8155,6117 is 1.

Lets's calculate GCF of 8155,6117

Greatest Common Factor (GCF) of 8155,6117 By Common Division

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

Greatest Common Factor of 8155,6117 By Matching Biggest Common Factor Method

Greatest Common Factor of 8155,6117 By Matching Biggest Common Factor Method

Now, list down the factors of 8155

:

1,5,7,35,233,1165,1631,8155

Now, list down the factors of 6117

:

1,3,2039,6117

Greatest Common Factor

We found the factors 8155,6117 . The biggest common factor number is the GCF number.
So the greatest common factor 8155,6117 is 1.

Lets's calculate LCM of 284,756

Lowest Common Multiple of 284,756 using Common Division

2 284, 756
2 142, 378
71, 189

∴ So the LCM of the given numbers is 2 x 2 x 71 x 189 = 53676

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/53676

Therefore, the GCF of Fractions 8155/284,6117/756 is 1/53676

Least Common Multiple of 284,756 with GCF Formula

Least Common Multiple of 284,756 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 284,756 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(284,756) = 4

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

GCF(284,756) x common factors =4 x 1 = 4

LCM(284,756) = ( 284 × 756 ) / 4

LCM(284,756) = 214704 / 4

LCM(284,756) = 53676


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 8155/284, 6117/756

1. What is the HCF of 8155,6117?

The HCF of 8155,6117 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 8155/284, 6117/756?

Answer: GCF of Numerators as per given numbers 8155/284, 6117/756 is

GCF of Numerators i.e. for 8155,6117 is 1

LCM of denominators i.e. for 284,756 is 53676.

Thus, GCF of Fractions is 1/53676.Finally, GCF of Fractions for 8155/284, 6117/756 is 1/53676.