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 1686/596, 1567/183

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 1686/596, 1567/183 i.e 1/109068 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1686/596, 1567/183.

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 1686/596,1567/183?

Given fractions are 1686/596,1567/183

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 1686/596,1567/183, numerators are 1686,1567

Denominators are 596,183

The GCF of 1686,1567 is 1 .

LCM of 596,183 is 109068.

The greatest common factor of 1686/596,1567/183 = [GCF of 1686,1567]/[LCM of 596,183]= 1/109068

Therefore, the GCF of 1686/596,1567/183 is 1/109068.

Greatest Common Factor of 1686,1567

To find the highest common factor of 1686,1567, we have to find the factors of both numbers and list the highest common factor.

The factors of 1686 are 1, 2, 3, 6, 281, 562, 843, 1686

The factors of 1567 are 1, 1567

The HCF of 1686,1567 is 1.

Lets's calculate GCF of 1686,1567

Greatest Common Factor (GCF) of 1686,1567 By Common Division

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

Greatest Common Factor of 1686,1567 By Matching Biggest Common Factor Method

Greatest Common Factor of 1686,1567 By Matching Biggest Common Factor Method

Now, list down the factors of 1686

:

1,2,3,6,281,562,843,1686

Now, list down the factors of 1567

:

1,1567

Greatest Common Factor

We found the factors 1686,1567 . The biggest common factor number is the GCF number.
So the greatest common factor 1686,1567 is 1.

Lets's calculate LCM of 596,183

Lowest Common Multiple of 596,183 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 109068

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/109068

Therefore, the GCF of Fractions 1686/596,1567/183 is 1/109068

Least Common Multiple of 596,183 with GCF Formula

Least Common Multiple of 596,183 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 596,183 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(596,183) = 1

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

GCF(596,183) x common factors =1 x 1 = 1

LCM(596,183) = ( 596 × 183 ) / 1

LCM(596,183) = 109068 / 1

LCM(596,183) = 109068


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 1686/596, 1567/183

1. What is the HCF of 1686,1567?

The HCF of 1686,1567 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 1686/596, 1567/183?

Answer: GCF of Numerators as per given numbers 1686/596, 1567/183 is

GCF of Numerators i.e. for 1686,1567 is 1

LCM of denominators i.e. for 596,183 is 109068.

Thus, GCF of Fractions is 1/109068.Finally, GCF of Fractions for 1686/596, 1567/183 is 1/109068.