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 184/325, 516/886

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 184/325, 516/886 i.e 4/287950 easily. The following is the detailed procedure to determine the greatest common factor of fractions 184/325, 516/886.

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 184/325,516/886?

Given fractions are 184/325,516/886

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 184/325,516/886, numerators are 184,516

Denominators are 325,886

The GCF of 184,516 is 4 .

LCM of 325,886 is 287950.

The greatest common factor of 184/325,516/886 = [GCF of 184,516]/[LCM of 325,886]= 4/287950

Therefore, the GCF of 184/325,516/886 is 4/287950.

Greatest Common Factor of 184,516

To find the highest common factor of 184,516, we have to find the factors of both numbers and list the highest common factor.

The factors of 184 are 1, 2, 4, 8, 23, 46, 92, 184

The factors of 516 are 1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

The HCF of 184,516 is 4.

Lets's calculate GCF of 184,516

Greatest Common Factor (GCF) of 184,516 By Common Division

2 184, 516
2 92, 258
46, 129

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 184,516 By Matching Biggest Common Factor Method

Greatest Common Factor of 184,516 By Matching Biggest Common Factor Method

Now, list down the factors of 184

:

1,2,4,8,23,46,92,184

Now, list down the factors of 516

:

1,2,3,4,6,12,43,86,129,172,258,516

Greatest Common Factor

We found the factors 184,516 . The biggest common factor number is the GCF number.
So the greatest common factor 184,516 is 4.

Lets's calculate LCM of 325,886

Lowest Common Multiple of 325,886 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 287950

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/287950

Therefore, the GCF of Fractions 184/325,516/886 is 4/287950

Least Common Multiple of 325,886 with GCF Formula

Least Common Multiple of 325,886 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 325,886 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(325,886) = 1

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

GCF(325,886) x common factors =1 x 1 = 1

LCM(325,886) = ( 325 × 886 ) / 1

LCM(325,886) = 287950 / 1

LCM(325,886) = 287950


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 184/325, 516/886

1. What is the HCF of 184,516?

The HCF of 184,516 is 4

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 184/325, 516/886?

Answer: GCF of Numerators as per given numbers 184/325, 516/886 is

GCF of Numerators i.e. for 184,516 is 4

LCM of denominators i.e. for 325,886 is 287950.

Thus, GCF of Fractions is 4/287950.Finally, GCF of Fractions for 184/325, 516/886 is 4/287950.