How to Find GCF of 45/391, 65/136, 937/761?

GCF of 45/391, 65/136, 937/761

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 45/391, 65/136, 937/761 i.e 1/2380408 easily. The following is the detailed procedure to determine the greatest common factor of fractions 45/391, 65/136, 937/761.

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 45/391,65/136,937/761?

Given fractions are 45/391,65/136,937/761

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 45/391,65/136,937/761, numerators are 45,65,937

Denominators are 391,136,761

The GCF of 45,65,937 is 1 .

LCM of 391,136,761 is 2380408.

The greatest common factor of 45/391,65/136,937/761 = [GCF of 45,65,937]/[LCM of 391,136,761]= 1/2380408

Therefore, the GCF of 45/391,65/136,937/761 is 1/2380408.

Greatest Common Factor of 45,65,937

To find the highest common factor of 45,65,937, 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 65 are 1, 5, 13, 65

The factors of 937 are 1, 937

The HCF of 45,65,937 is 1.

Lets's calculate GCF of 45,65,937

Greatest Common Factor (GCF) of 45,65,937 By Common Division

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

Greatest Common Factor of 45,65,937 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 65

1,5,13,65

Now, list down the factors of 937

1,937

Greatest Common Factor

We found the factors 45,65,937 . The biggest common factor number is the GCF number.
So the greatest common factor 45,65,937 is 1.

Lets's calculate LCM of 391,136,761

Lowest Common Multiple of 391,136,761 using Common Division

17	391, 136, 761
	23, 8, 761

∴ So the LCM of the given numbers is 17 x 23 x 8 x 761 = 2380408

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2380408

Therefore, the GCF of Fractions 45/391,65/136,937/761 is 1/2380408

Least Common Multiple of 391,136,761 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 391,136,761 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(391,136,761) = 1

common factors(in case of two or more numbers have common factors) = 17

GCF(391,136,761) x common factors =1 x 17 = 17

LCM(391,136,761) = ( 391 × 136 × 761 ) / 17

LCM(391,136,761) = 40466936 / 17

LCM(391,136,761) = 2380408

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 45/391, 65/136, 937/761

1. What is the HCF of 45,65,937?

The HCF of 45,65,937 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 45/391, 65/136, 937/761?

Answer: GCF of Numerators as per given numbers 45/391, 65/136, 937/761 is

GCF of Numerators i.e. for 45,65,937 is 1

LCM of denominators i.e. for 391,136,761 is 2380408.

Thus, GCF of Fractions is 1/2380408.Finally, GCF of Fractions for 45/391, 65/136, 937/761 is 1/2380408.