How to Find GCF of 87/40, 549/89, 335/412?

GCF of 87/40, 549/89, 335/412

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 87/40, 549/89, 335/412 i.e 1/366680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 87/40, 549/89, 335/412.

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 87/40,549/89,335/412?

Given fractions are 87/40,549/89,335/412

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 87/40,549/89,335/412, numerators are 87,549,335

Denominators are 40,89,412

The GCF of 87,549,335 is 1 .

LCM of 40,89,412 is 366680.

The greatest common factor of 87/40,549/89,335/412 = [GCF of 87,549,335]/[LCM of 40,89,412]= 1/366680

Therefore, the GCF of 87/40,549/89,335/412 is 1/366680.

Greatest Common Factor of 87,549,335

To find the highest common factor of 87,549,335, 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 549 are 1, 3, 9, 61, 183, 549

The factors of 335 are 1, 5, 67, 335

The HCF of 87,549,335 is 1.

Lets's calculate GCF of 87,549,335

Greatest Common Factor (GCF) of 87,549,335 By Common Division

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

Greatest Common Factor of 87,549,335 By Matching Biggest Common Factor Method

Now, list down the factors of 87

1,3,29,87

Now, list down the factors of 549

1,3,9,61,183,549

Now, list down the factors of 335

1,5,67,335

Greatest Common Factor

We found the factors 87,549,335 . The biggest common factor number is the GCF number.
So the greatest common factor 87,549,335 is 1.

Lets's calculate LCM of 40,89,412

Lowest Common Multiple of 40,89,412 using Common Division

2	40, 89, 412
2	20, 89, 206
	10, 89, 103

∴ So the LCM of the given numbers is 2 x 2 x 10 x 89 x 103 = 366680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/366680

Therefore, the GCF of Fractions 87/40,549/89,335/412 is 1/366680

Least Common Multiple of 40,89,412 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 40,89,412 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(40,89,412) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(40,89,412) x common factors =1 x 4 = 4

LCM(40,89,412) = ( 40 × 89 × 412 ) / 4

LCM(40,89,412) = 1466720 / 4

LCM(40,89,412) = 366680

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 87/40, 549/89, 335/412

1. What is the HCF of 87,549,335?

The HCF of 87,549,335 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 87/40, 549/89, 335/412?

Answer: GCF of Numerators as per given numbers 87/40, 549/89, 335/412 is

GCF of Numerators i.e. for 87,549,335 is 1

LCM of denominators i.e. for 40,89,412 is 366680.

Thus, GCF of Fractions is 1/366680.Finally, GCF of Fractions for 87/40, 549/89, 335/412 is 1/366680.