How to Find GCF of 72/904, 483/918, 209/175?

GCF of 72/904, 483/918, 209/175

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 72/904, 483/918, 209/175 i.e 1/72613800 easily. The following is the detailed procedure to determine the greatest common factor of fractions 72/904, 483/918, 209/175.

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 72/904,483/918,209/175?

Given fractions are 72/904,483/918,209/175

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 72/904,483/918,209/175, numerators are 72,483,209

Denominators are 904,918,175

The GCF of 72,483,209 is 1 .

LCM of 904,918,175 is 72613800.

The greatest common factor of 72/904,483/918,209/175 = [GCF of 72,483,209]/[LCM of 904,918,175]= 1/72613800

Therefore, the GCF of 72/904,483/918,209/175 is 1/72613800.

Greatest Common Factor of 72,483,209

To find the highest common factor of 72,483,209, we have to find the factors of both numbers and list the highest common factor.

The factors of 72 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72

The factors of 483 are 1, 3, 7, 21, 23, 69, 161, 483

The factors of 209 are 1, 11, 19, 209

The HCF of 72,483,209 is 1.

Lets's calculate GCF of 72,483,209

Greatest Common Factor (GCF) of 72,483,209 By Common Division

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

Greatest Common Factor of 72,483,209 By Matching Biggest Common Factor Method

Now, list down the factors of 72

1,2,3,4,6,8,9,12,18,24,36,72

Now, list down the factors of 483

1,3,7,21,23,69,161,483

Now, list down the factors of 209

1,11,19,209

Greatest Common Factor

We found the factors 72,483,209 . The biggest common factor number is the GCF number.
So the greatest common factor 72,483,209 is 1.

Lets's calculate LCM of 904,918,175

Lowest Common Multiple of 904,918,175 using Common Division

2	904, 918, 175
	452, 459, 175

∴ So the LCM of the given numbers is 2 x 452 x 459 x 175 = 72613800

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/72613800

Therefore, the GCF of Fractions 72/904,483/918,209/175 is 1/72613800

Least Common Multiple of 904,918,175 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 904,918,175 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(904,918,175) = 1

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

GCF(904,918,175) x common factors =1 x 2 = 2

LCM(904,918,175) = ( 904 × 918 × 175 ) / 2

LCM(904,918,175) = 145227600 / 2

LCM(904,918,175) = 72613800

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 72/904, 483/918, 209/175

1. What is the HCF of 72,483,209?

The HCF of 72,483,209 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 72/904, 483/918, 209/175?

Answer: GCF of Numerators as per given numbers 72/904, 483/918, 209/175 is

GCF of Numerators i.e. for 72,483,209 is 1

LCM of denominators i.e. for 904,918,175 is 72613800.

Thus, GCF of Fractions is 1/72613800.Finally, GCF of Fractions for 72/904, 483/918, 209/175 is 1/72613800.