How to Find GCF of 45/361, 10/791, 907/209?

GCF of 45/361, 10/791, 907/209

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 45/361, 10/791, 907/209 i.e 1/3141061 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/361, 10/791, 907/209.

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 45/361,10/791,907/209?

Given fractions are 45/361,10/791,907/209

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 45/361,10/791,907/209, numerators are 45,10,907

Denominators are 361,791,209

The GCF of 45,10,907 is 1 .

LCM of 361,791,209 is 3141061.

The greatest common factor of 45/361,10/791,907/209 = [GCF of 45,10,907]/[LCM of 361,791,209]= 1/3141061

Therefore, the GCF of 45/361,10/791,907/209 is 1/3141061.

Greatest Common Factor of 45,10,907

To find the highest common factor of 45,10,907, 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 10 are 1, 2, 5, 10

The factors of 907 are 1, 907

The HCF of 45,10,907 is 1.

Lets's calculate GCF of 45,10,907

Greatest Common Factor (GCF) of 45,10,907 By Common Division

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

Greatest Common Factor of 45,10,907 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 10

1,2,5,10

Now, list down the factors of 907

1,907

Greatest Common Factor

We found the factors 45,10,907 . The biggest common factor number is the GCF number.
So the greatest common factor 45,10,907 is 1.

Lets's calculate LCM of 361,791,209

Lowest Common Multiple of 361,791,209 using Common Division

19	361, 791, 209
	19, 791, 11

∴ So the LCM of the given numbers is 19 x 19 x 791 x 11 = 3141061

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3141061

Therefore, the GCF of Fractions 45/361,10/791,907/209 is 1/3141061

Least Common Multiple of 361,791,209 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 361,791,209 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(361,791,209) = 1

common factors(in case of two or more numbers have common factors) = 19

GCF(361,791,209) x common factors =1 x 19 = 19

LCM(361,791,209) = ( 361 × 791 × 209 ) / 19

LCM(361,791,209) = 59680159 / 19

LCM(361,791,209) = 3141061

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 45/361, 10/791, 907/209

1. What is the HCF of 45,10,907?

The HCF of 45,10,907 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 45/361, 10/791, 907/209?

Answer: GCF of Numerators as per given numbers 45/361, 10/791, 907/209 is

GCF of Numerators i.e. for 45,10,907 is 1

LCM of denominators i.e. for 361,791,209 is 3141061.

Thus, GCF of Fractions is 1/3141061.Finally, GCF of Fractions for 45/361, 10/791, 907/209 is 1/3141061.