How to Find GCF of 87/83, 199/40, 744/541?

GCF of 87/83, 199/40, 744/541

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 87/83, 199/40, 744/541 i.e 1/1796120 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/83, 199/40, 744/541.

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 87/83,199/40,744/541?

Given fractions are 87/83,199/40,744/541

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 87/83,199/40,744/541, numerators are 87,199,744

Denominators are 83,40,541

The GCF of 87,199,744 is 1 .

LCM of 83,40,541 is 1796120.

The greatest common factor of 87/83,199/40,744/541 = [GCF of 87,199,744]/[LCM of 83,40,541]= 1/1796120

Therefore, the GCF of 87/83,199/40,744/541 is 1/1796120.

Greatest Common Factor of 87,199,744

To find the highest common factor of 87,199,744, we have to find the factors of both numbers and list the highest common factor.

The factors of 87 are 1, 3, 29, 87

The factors of 199 are 1, 199

The factors of 744 are 1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

The HCF of 87,199,744 is 1.

Lets's calculate GCF of 87,199,744

Greatest Common Factor (GCF) of 87,199,744 By Common Division

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

Greatest Common Factor of 87,199,744 By Matching Biggest Common Factor Method

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 199

1,199

Now, list down the factors of 744

1,2,3,4,6,8,12,24,31,62,93,124,186,248,372,744

Greatest Common Factor

We found the factors 87,199,744 . The biggest common factor number is the GCF number.
So the greatest common factor 87,199,744 is 1.

Lets's calculate LCM of 83,40,541

Lowest Common Multiple of 83,40,541 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1796120

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1796120

Therefore, the GCF of Fractions 87/83,199/40,744/541 is 1/1796120

Least Common Multiple of 83,40,541 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 83,40,541 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(83,40,541) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(83,40,541) x common factors =1 x 1 = 1

LCM(83,40,541) = ( 83 × 40 × 541 ) / 1

LCM(83,40,541) = 1796120 / 1

LCM(83,40,541) = 1796120

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 87/83, 199/40, 744/541

1. What is the HCF of 87,199,744?

The HCF of 87,199,744 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 87/83, 199/40, 744/541?

Answer: GCF of Numerators as per given numbers 87/83, 199/40, 744/541 is

GCF of Numerators i.e. for 87,199,744 is 1

LCM of denominators i.e. for 83,40,541 is 1796120.

Thus, GCF of Fractions is 1/1796120.Finally, GCF of Fractions for 87/83, 199/40, 744/541 is 1/1796120.