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 5997/677, 6166/9280

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 5997/677, 6166/9280 i.e 1/6282560 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5997/677, 6166/9280.

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 5997/677,6166/9280?

Given fractions are 5997/677,6166/9280

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 5997/677,6166/9280, numerators are 5997,6166

Denominators are 677,9280

The GCF of 5997,6166 is 1 .

LCM of 677,9280 is 6282560.

The greatest common factor of 5997/677,6166/9280 = [GCF of 5997,6166]/[LCM of 677,9280]= 1/6282560

Therefore, the GCF of 5997/677,6166/9280 is 1/6282560.

Greatest Common Factor of 5997,6166

To find the highest common factor of 5997,6166, we have to find the factors of both numbers and list the highest common factor.

The factors of 5997 are 1, 3, 1999, 5997

The factors of 6166 are 1, 2, 3083, 6166

The HCF of 5997,6166 is 1.

Lets's calculate GCF of 5997,6166

Greatest Common Factor (GCF) of 5997,6166 By Common Division

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

Greatest Common Factor of 5997,6166 By Matching Biggest Common Factor Method

Greatest Common Factor of 5997,6166 By Matching Biggest Common Factor Method

Now, list down the factors of 5997

:

1,3,1999,5997

Now, list down the factors of 6166

:

1,2,3083,6166

Greatest Common Factor

We found the factors 5997,6166 . The biggest common factor number is the GCF number.
So the greatest common factor 5997,6166 is 1.


Lets's calculate LCM of 677,9280

Lowest Common Multiple of 677,9280 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 6282560

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6282560

Therefore, the GCF of Fractions 5997/677,6166/9280 is 1/6282560

Least Common Multiple of 677,9280 with GCF Formula

Least Common Multiple of 677,9280 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 677,9280 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(677,9280) = 1

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

GCF(677,9280) x common factors =1 x 1 = 1

LCM(677,9280) = ( 677 × 9280 ) / 1

LCM(677,9280) = 6282560 / 1

LCM(677,9280) = 6282560


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 5997/677, 6166/9280

1. What is the HCF of 5997,6166?

The HCF of 5997,6166 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 5997/677, 6166/9280?

Answer: GCF of Numerators as per given numbers 5997/677, 6166/9280 is

GCF of Numerators i.e. for 5997,6166 is 1

LCM of denominators i.e. for 677,9280 is 6282560.

Thus, GCF of Fractions is 1/6282560.Finally, GCF of Fractions for 5997/677, 6166/9280 is 1/6282560.