How to Find GCF of 99/666, 59/971, 961/200?

GCF of 99/666, 59/971, 961/200

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 99/666, 59/971, 961/200 i.e 1/64668600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 99/666, 59/971, 961/200.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

What is the GCF of 99/666,59/971,961/200?

Given fractions are 99/666,59/971,961/200

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 99/666,59/971,961/200, numerators are 99,59,961

Denominators are 666,971,200

The GCF of 99,59,961 is 1 .

LCM of 666,971,200 is 64668600.

The greatest common factor of 99/666,59/971,961/200 = [GCF of 99,59,961]/[LCM of 666,971,200]= 1/64668600

Therefore, the GCF of 99/666,59/971,961/200 is 1/64668600.

Greatest Common Factor of 99,59,961

To find the highest common factor of 99,59,961, we have to find the factors of both numbers and list the highest common factor.

The factors of 99 are 1, 3, 9, 11, 33, 99

The factors of 59 are 1, 59

The factors of 961 are 1, 31, 961

The HCF of 99,59,961 is 1.

Lets's calculate GCF of 99,59,961

Greatest Common Factor (GCF) of 99,59,961 By Common Division

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

Greatest Common Factor of 99,59,961 By Matching Biggest Common Factor Method

Now, list down the factors of 99

1,3,9,11,33,99

Now, list down the factors of 59

1,59

Now, list down the factors of 961

1,31,961

Greatest Common Factor

We found the factors 99,59,961 . The biggest common factor number is the GCF number.
So the greatest common factor 99,59,961 is 1.

Lets's calculate LCM of 666,971,200

Lowest Common Multiple of 666,971,200 using Common Division

2	666, 971, 200
	333, 971, 100

∴ So the LCM of the given numbers is 2 x 333 x 971 x 100 = 64668600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64668600

Therefore, the GCF of Fractions 99/666,59/971,961/200 is 1/64668600

Least Common Multiple of 666,971,200 with GCF Formula

The formula of LCM is LCM(a₁,a₂,a₃....,a_n) = ( a₁ × a₂ × a₃ × .... × a_n) / GCF(a₁,a₂,a₃....,a_n) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 666,971,200 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(666,971,200) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(666,971,200) x common factors =1 x 2 = 2

LCM(666,971,200) = ( 666 × 971 × 200 ) / 2

LCM(666,971,200) = 129337200 / 2

LCM(666,971,200) = 64668600

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 99/666, 59/971, 961/200

1. What is the HCF of 99,59,961?

The HCF of 99,59,961 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 99/666, 59/971, 961/200?

Answer: GCF of Numerators as per given numbers 99/666, 59/971, 961/200 is

GCF of Numerators i.e. for 99,59,961 is 1

LCM of denominators i.e. for 666,971,200 is 64668600.

Thus, GCF of Fractions is 1/64668600.Finally, GCF of Fractions for 99/666, 59/971, 961/200 is 1/64668600.