How to Find GCF of 66/40, 991/99, 325/325?

GCF of 66/40, 991/99, 325/325

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 66/40, 991/99, 325/325 i.e 1/257400 easily. The following is the detailed procedure to determine the greatest common factor of fractions 66/40, 991/99, 325/325.

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 66/40,991/99,325/325?

Given fractions are 66/40,991/99,325/325

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 66/40,991/99,325/325, numerators are 66,991,325

Denominators are 40,99,325

The GCF of 66,991,325 is 1 .

LCM of 40,99,325 is 257400.

The greatest common factor of 66/40,991/99,325/325 = [GCF of 66,991,325]/[LCM of 40,99,325]= 1/257400

Therefore, the GCF of 66/40,991/99,325/325 is 1/257400.

Greatest Common Factor of 66,991,325

To find the highest common factor of 66,991,325, we have to find the factors of both numbers and list the highest common factor.

The factors of 66 are 1, 2, 3, 6, 11, 22, 33, 66

The factors of 991 are 1, 991

The factors of 325 are 1, 5, 13, 25, 65, 325

The HCF of 66,991,325 is 1.

Lets's calculate GCF of 66,991,325

Greatest Common Factor (GCF) of 66,991,325 By Common Division

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

Greatest Common Factor of 66,991,325 By Matching Biggest Common Factor Method

Now, list down the factors of 66

1,2,3,6,11,22,33,66

Now, list down the factors of 991

1,991

Now, list down the factors of 325

1,5,13,25,65,325

Greatest Common Factor

We found the factors 66,991,325 . The biggest common factor number is the GCF number.
So the greatest common factor 66,991,325 is 1.

Lets's calculate LCM of 40,99,325

Lowest Common Multiple of 40,99,325 using Common Division

5	40, 99, 325
	8, 99, 65

∴ So the LCM of the given numbers is 5 x 8 x 99 x 65 = 257400

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/257400

Therefore, the GCF of Fractions 66/40,991/99,325/325 is 1/257400

Least Common Multiple of 40,99,325 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 40,99,325 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,99,325) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(40,99,325) x common factors =1 x 5 = 5

LCM(40,99,325) = ( 40 × 99 × 325 ) / 5

LCM(40,99,325) = 1287000 / 5

LCM(40,99,325) = 257400

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FAQs on GCF of Fractions of 66/40, 991/99, 325/325

1. What is the HCF of 66,991,325?

The HCF of 66,991,325 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 66/40, 991/99, 325/325?

Answer: GCF of Numerators as per given numbers 66/40, 991/99, 325/325 is

GCF of Numerators i.e. for 66,991,325 is 1

LCM of denominators i.e. for 40,99,325 is 257400.

Thus, GCF of Fractions is 1/257400.Finally, GCF of Fractions for 66/40, 991/99, 325/325 is 1/257400.