How to Find GCF of 30/95, 621/41, 627/132?

GCF of 30/95, 621/41, 627/132

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 30/95, 621/41, 627/132 i.e 3/514140 easily. The following is the detailed procedure to determine the greatest common factor of fractions 30/95, 621/41, 627/132.

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 30/95,621/41,627/132?

Given fractions are 30/95,621/41,627/132

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 30/95,621/41,627/132, numerators are 30,621,627

Denominators are 95,41,132

The GCF of 30,621,627 is 3 .

LCM of 95,41,132 is 514140.

The greatest common factor of 30/95,621/41,627/132 = [GCF of 30,621,627]/[LCM of 95,41,132]= 3/514140

Therefore, the GCF of 30/95,621/41,627/132 is 3/514140.

Greatest Common Factor of 30,621,627

To find the highest common factor of 30,621,627, we have to find the factors of both numbers and list the highest common factor.

The factors of 30 are 1, 2, 3, 5, 6, 10, 15, 30

The factors of 621 are 1, 3, 9, 23, 27, 69, 207, 621

The factors of 627 are 1, 3, 11, 19, 33, 57, 209, 627

The HCF of 30,621,627 is 3.

Lets's calculate GCF of 30,621,627

Greatest Common Factor (GCF) of 30,621,627 By Common Division

3	30, 621, 627
	10, 207, 209

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 30,621,627 By Matching Biggest Common Factor Method

Now, list down the factors of 30

1,2,3,5,6,10,15,30

Now, list down the factors of 621

1,3,9,23,27,69,207,621

Now, list down the factors of 627

1,3,11,19,33,57,209,627

Greatest Common Factor

We found the factors 30,621,627 . The biggest common factor number is the GCF number.
So the greatest common factor 30,621,627 is 3.

Lets's calculate LCM of 95,41,132

Lowest Common Multiple of 95,41,132 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 514140

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/514140

Therefore, the GCF of Fractions 30/95,621/41,627/132 is 3/514140

Least Common Multiple of 95,41,132 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 95,41,132 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(95,41,132) = 1

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

GCF(95,41,132) x common factors =1 x 1 = 1

LCM(95,41,132) = ( 95 × 41 × 132 ) / 1

LCM(95,41,132) = 514140 / 1

LCM(95,41,132) = 514140

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 30/95, 621/41, 627/132

1. What is the HCF of 30,621,627?

The HCF of 30,621,627 is 3

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 30/95, 621/41, 627/132?

Answer: GCF of Numerators as per given numbers 30/95, 621/41, 627/132 is

GCF of Numerators i.e. for 30,621,627 is 3

LCM of denominators i.e. for 95,41,132 is 514140.

Thus, GCF of Fractions is 3/514140.Finally, GCF of Fractions for 30/95, 621/41, 627/132 is 3/514140.