How to Find GCF of 45/210, 11/603, 901/451?

GCF of 45/210, 11/603, 901/451

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 45/210, 11/603, 901/451 i.e 1/19036710 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/210, 11/603, 901/451.

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 45/210,11/603,901/451?

Given fractions are 45/210,11/603,901/451

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 45/210,11/603,901/451, numerators are 45,11,901

Denominators are 210,603,451

The GCF of 45,11,901 is 1 .

LCM of 210,603,451 is 19036710.

The greatest common factor of 45/210,11/603,901/451 = [GCF of 45,11,901]/[LCM of 210,603,451]= 1/19036710

Therefore, the GCF of 45/210,11/603,901/451 is 1/19036710.

Greatest Common Factor of 45,11,901

To find the highest common factor of 45,11,901, we have to find the factors of both numbers and list the highest common factor.

The factors of 45 are 1, 3, 5, 9, 15, 45

The factors of 11 are 1, 11

The factors of 901 are 1, 17, 53, 901

The HCF of 45,11,901 is 1.

Lets's calculate GCF of 45,11,901

Greatest Common Factor (GCF) of 45,11,901 By Common Division

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

Greatest Common Factor of 45,11,901 By Matching Biggest Common Factor Method

Now, list down the factors of 45

1,3,5,9,15,45

Now, list down the factors of 11

1,11

Now, list down the factors of 901

1,17,53,901

Greatest Common Factor

We found the factors 45,11,901 . The biggest common factor number is the GCF number.
So the greatest common factor 45,11,901 is 1.

Lets's calculate LCM of 210,603,451

Lowest Common Multiple of 210,603,451 using Common Division

3	210, 603, 451
	70, 201, 451

∴ So the LCM of the given numbers is 3 x 70 x 201 x 451 = 19036710

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/19036710

Therefore, the GCF of Fractions 45/210,11/603,901/451 is 1/19036710

Least Common Multiple of 210,603,451 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 210,603,451 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(210,603,451) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(210,603,451) x common factors =1 x 3 = 3

LCM(210,603,451) = ( 210 × 603 × 451 ) / 3

LCM(210,603,451) = 57110130 / 3

LCM(210,603,451) = 19036710

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 45/210, 11/603, 901/451

1. What is the HCF of 45,11,901?

The HCF of 45,11,901 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 45/210, 11/603, 901/451?

Answer: GCF of Numerators as per given numbers 45/210, 11/603, 901/451 is

GCF of Numerators i.e. for 45,11,901 is 1

LCM of denominators i.e. for 210,603,451 is 19036710.

Thus, GCF of Fractions is 1/19036710.Finally, GCF of Fractions for 45/210, 11/603, 901/451 is 1/19036710.