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 9677/585, 1650/727

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 9677/585, 1650/727 i.e 1/425295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9677/585, 1650/727.

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 9677/585,1650/727?

Given fractions are 9677/585,1650/727

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 9677/585,1650/727, numerators are 9677,1650

Denominators are 585,727

The GCF of 9677,1650 is 1 .

LCM of 585,727 is 425295.

The greatest common factor of 9677/585,1650/727 = [GCF of 9677,1650]/[LCM of 585,727]= 1/425295

Therefore, the GCF of 9677/585,1650/727 is 1/425295.

Greatest Common Factor of 9677,1650

To find the highest common factor of 9677,1650, we have to find the factors of both numbers and list the highest common factor.

The factors of 9677 are 1, 9677

The factors of 1650 are 1, 2, 3, 5, 6, 10, 11, 15, 22, 25, 30, 33, 50, 55, 66, 75, 110, 150, 165, 275, 330, 550, 825, 1650

The HCF of 9677,1650 is 1.

Lets's calculate GCF of 9677,1650

Greatest Common Factor (GCF) of 9677,1650 By Common Division

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

Greatest Common Factor of 9677,1650 By Matching Biggest Common Factor Method

Greatest Common Factor of 9677,1650 By Matching Biggest Common Factor Method

Now, list down the factors of 9677

:

1,9677

Now, list down the factors of 1650

:

1,2,3,5,6,10,11,15,22,25,30,33,50,55,66,75,110,150,165,275,330,550,825,1650

Greatest Common Factor

We found the factors 9677,1650 . The biggest common factor number is the GCF number.
So the greatest common factor 9677,1650 is 1.


Lets's calculate LCM of 585,727

Lowest Common Multiple of 585,727 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 425295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/425295

Therefore, the GCF of Fractions 9677/585,1650/727 is 1/425295

Least Common Multiple of 585,727 with GCF Formula

Least Common Multiple of 585,727 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 585,727 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(585,727) = 1

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

GCF(585,727) x common factors =1 x 1 = 1

LCM(585,727) = ( 585 × 727 ) / 1

LCM(585,727) = 425295 / 1

LCM(585,727) = 425295


GCF of Fractions Calculation Examples

FAQs on GCF of Fractions of 9677/585, 1650/727

1. What is the HCF of 9677,1650?

The HCF of 9677,1650 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 9677/585, 1650/727?

Answer: GCF of Numerators as per given numbers 9677/585, 1650/727 is

GCF of Numerators i.e. for 9677,1650 is 1

LCM of denominators i.e. for 585,727 is 425295.

Thus, GCF of Fractions is 1/425295.Finally, GCF of Fractions for 9677/585, 1650/727 is 1/425295.