How to Find GCF of 68/90, 211/16, 329/801?

GCF of 68/90, 211/16, 329/801

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 68/90, 211/16, 329/801 i.e 1/64080 easily. The following is the detailed procedure to determine the greatest common factor of fractions 68/90, 211/16, 329/801.

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 68/90,211/16,329/801?

Given fractions are 68/90,211/16,329/801

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 68/90,211/16,329/801, numerators are 68,211,329

Denominators are 90,16,801

The GCF of 68,211,329 is 1 .

LCM of 90,16,801 is 64080.

The greatest common factor of 68/90,211/16,329/801 = [GCF of 68,211,329]/[LCM of 90,16,801]= 1/64080

Therefore, the GCF of 68/90,211/16,329/801 is 1/64080.

Greatest Common Factor of 68,211,329

To find the highest common factor of 68,211,329, we have to find the factors of both numbers and list the highest common factor.

The factors of 68 are 1, 2, 4, 17, 34, 68

The factors of 211 are 1, 211

The factors of 329 are 1, 7, 47, 329

The HCF of 68,211,329 is 1.

Lets's calculate GCF of 68,211,329

Greatest Common Factor (GCF) of 68,211,329 By Common Division

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

Greatest Common Factor of 68,211,329 By Matching Biggest Common Factor Method

Now, list down the factors of 68

1,2,4,17,34,68

Now, list down the factors of 211

1,211

Now, list down the factors of 329

1,7,47,329

Greatest Common Factor

We found the factors 68,211,329 . The biggest common factor number is the GCF number.
So the greatest common factor 68,211,329 is 1.

Lets's calculate LCM of 90,16,801

Lowest Common Multiple of 90,16,801 using Common Division

2	90, 16, 801
3	45, 8, 801
3	15, 8, 267
	5, 8, 89

∴ So the LCM of the given numbers is 2 x 3 x 3 x 5 x 8 x 89 = 64080

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/64080

Therefore, the GCF of Fractions 68/90,211/16,329/801 is 1/64080

Least Common Multiple of 90,16,801 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 90,16,801 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,16,801) = 1

common factors(in case of two or more numbers have common factors) = 18

GCF(90,16,801) x common factors =1 x 18 = 18

LCM(90,16,801) = ( 90 × 16 × 801 ) / 18

LCM(90,16,801) = 1153440 / 18

LCM(90,16,801) = 64080

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FAQs on GCF of Fractions of 68/90, 211/16, 329/801

1. What is the HCF of 68,211,329?

The HCF of 68,211,329 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 68/90, 211/16, 329/801?

Answer: GCF of Numerators as per given numbers 68/90, 211/16, 329/801 is

GCF of Numerators i.e. for 68,211,329 is 1

LCM of denominators i.e. for 90,16,801 is 64080.

Thus, GCF of Fractions is 1/64080.Finally, GCF of Fractions for 68/90, 211/16, 329/801 is 1/64080.