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 867/661, 255/600

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 867/661, 255/600 i.e 51/396600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 867/661, 255/600.

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 867/661,255/600?

Given fractions are 867/661,255/600

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 867/661,255/600, numerators are 867,255

Denominators are 661,600

The GCF of 867,255 is 51 .

LCM of 661,600 is 396600.

The greatest common factor of 867/661,255/600 = [GCF of 867,255]/[LCM of 661,600]= 51/396600

Therefore, the GCF of 867/661,255/600 is 51/396600.

Greatest Common Factor of 867,255

To find the highest common factor of 867,255, we have to find the factors of both numbers and list the highest common factor.

The factors of 867 are 1, 3, 17, 51, 289, 867

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

The HCF of 867,255 is 51.

Lets's calculate GCF of 867,255

Greatest Common Factor (GCF) of 867,255 By Common Division

3 867, 255
17 289, 85
17, 5

∴ So the GCF of the given numbers is 3 x 17 = 51

Greatest Common Factor of 867,255 By Matching Biggest Common Factor Method

Greatest Common Factor of 867,255 By Matching Biggest Common Factor Method

Now, list down the factors of 867

:

1,3,17,51,289,867

Now, list down the factors of 255

:

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

Greatest Common Factor

We found the factors 867,255 . The biggest common factor number is the GCF number.
So the greatest common factor 867,255 is 51.

Lets's calculate LCM of 661,600

Lowest Common Multiple of 661,600 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 396600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 51/396600

Therefore, the GCF of Fractions 867/661,255/600 is 51/396600

Least Common Multiple of 661,600 with GCF Formula

Least Common Multiple of 661,600 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 661,600 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(661,600) = 1

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

GCF(661,600) x common factors =1 x 1 = 1

LCM(661,600) = ( 661 × 600 ) / 1

LCM(661,600) = 396600 / 1

LCM(661,600) = 396600


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 867/661, 255/600

1. What is the HCF of 867,255?

The HCF of 867,255 is 51

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 867/661, 255/600?

Answer: GCF of Numerators as per given numbers 867/661, 255/600 is

GCF of Numerators i.e. for 867,255 is 51

LCM of denominators i.e. for 661,600 is 396600.

Thus, GCF of Fractions is 51/396600.Finally, GCF of Fractions for 867/661, 255/600 is 51/396600.