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 255/73, 822/668

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 255/73, 822/668 i.e 3/48764 easily. The following is the detailed procedure to determine the greatest common factor of fractions 255/73, 822/668.

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 255/73,822/668?

Given fractions are 255/73,822/668

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 255/73,822/668, numerators are 255,822

Denominators are 73,668

The GCF of 255,822 is 3 .

LCM of 73,668 is 48764.

The greatest common factor of 255/73,822/668 = [GCF of 255,822]/[LCM of 73,668]= 3/48764

Therefore, the GCF of 255/73,822/668 is 3/48764.

Greatest Common Factor of 255,822

To find the highest common factor of 255,822, we have to find the factors of both numbers and list the highest common factor.

The factors of 255 are 1, 3, 5, 15, 17, 51, 85, 255

The factors of 822 are 1, 2, 3, 6, 137, 274, 411, 822

The HCF of 255,822 is 3.

Lets's calculate GCF of 255,822

Greatest Common Factor (GCF) of 255,822 By Common Division

3 255, 822
85, 274

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 255,822 By Matching Biggest Common Factor Method

Greatest Common Factor of 255,822 By Matching Biggest Common Factor Method

Now, list down the factors of 255

:

1,3,5,15,17,51,85,255

Now, list down the factors of 822

:

1,2,3,6,137,274,411,822

Greatest Common Factor

We found the factors 255,822 . The biggest common factor number is the GCF number.
So the greatest common factor 255,822 is 3.

Lets's calculate LCM of 73,668

Lowest Common Multiple of 73,668 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 48764

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/48764

Therefore, the GCF of Fractions 255/73,822/668 is 3/48764

Least Common Multiple of 73,668 with GCF Formula

Least Common Multiple of 73,668 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 73,668 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(73,668) = 1

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

GCF(73,668) x common factors =1 x 1 = 1

LCM(73,668) = ( 73 × 668 ) / 1

LCM(73,668) = 48764 / 1

LCM(73,668) = 48764


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 255/73, 822/668

1. What is the HCF of 255,822?

The HCF of 255,822 is 3

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 255/73, 822/668?

Answer: GCF of Numerators as per given numbers 255/73, 822/668 is

GCF of Numerators i.e. for 255,822 is 3

LCM of denominators i.e. for 73,668 is 48764.

Thus, GCF of Fractions is 3/48764.Finally, GCF of Fractions for 255/73, 822/668 is 3/48764.