How to Find GCF of 38/931, 85/365, 499/795?

GCF of 38/931, 85/365, 499/795

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 38/931, 85/365, 499/795 i.e 1/54030585 easily. The following is the detailed procedure to determine the greatest common factor of fractions 38/931, 85/365, 499/795.

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 38/931,85/365,499/795?

Given fractions are 38/931,85/365,499/795

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 38/931,85/365,499/795, numerators are 38,85,499

Denominators are 931,365,795

The GCF of 38,85,499 is 1 .

LCM of 931,365,795 is 54030585.

The greatest common factor of 38/931,85/365,499/795 = [GCF of 38,85,499]/[LCM of 931,365,795]= 1/54030585

Therefore, the GCF of 38/931,85/365,499/795 is 1/54030585.

Greatest Common Factor of 38,85,499

To find the highest common factor of 38,85,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 38 are 1, 2, 19, 38

The factors of 85 are 1, 5, 17, 85

The factors of 499 are 1, 499

The HCF of 38,85,499 is 1.

Lets's calculate GCF of 38,85,499

Greatest Common Factor (GCF) of 38,85,499 By Common Division

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

Greatest Common Factor of 38,85,499 By Matching Biggest Common Factor Method

Now, list down the factors of 38

1,2,19,38

Now, list down the factors of 85

1,5,17,85

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 38,85,499 . The biggest common factor number is the GCF number.
So the greatest common factor 38,85,499 is 1.

Lets's calculate LCM of 931,365,795

Lowest Common Multiple of 931,365,795 using Common Division

5	931, 365, 795
	931, 73, 159

∴ So the LCM of the given numbers is 5 x 931 x 73 x 159 = 54030585

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/54030585

Therefore, the GCF of Fractions 38/931,85/365,499/795 is 1/54030585

Least Common Multiple of 931,365,795 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 931,365,795 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(931,365,795) = 1

common factors(in case of two or more numbers have common factors) = 5

GCF(931,365,795) x common factors =1 x 5 = 5

LCM(931,365,795) = ( 931 × 365 × 795 ) / 5

LCM(931,365,795) = 270152925 / 5

LCM(931,365,795) = 54030585

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 38/931, 85/365, 499/795

1. What is the HCF of 38,85,499?

The HCF of 38,85,499 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 38/931, 85/365, 499/795?

Answer: GCF of Numerators as per given numbers 38/931, 85/365, 499/795 is

GCF of Numerators i.e. for 38,85,499 is 1

LCM of denominators i.e. for 931,365,795 is 54030585.

Thus, GCF of Fractions is 1/54030585.Finally, GCF of Fractions for 38/931, 85/365, 499/795 is 1/54030585.