How to Find GCF of 81/90, 47/901, 639/714?

GCF of 81/90, 47/901, 639/714

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 81/90, 47/901, 639/714 i.e 1/567630 easily. The following is the detailed procedure to determine the greatest common factor of fractions 81/90, 47/901, 639/714.

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 81/90,47/901,639/714?

Given fractions are 81/90,47/901,639/714

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 81/90,47/901,639/714, numerators are 81,47,639

Denominators are 90,901,714

The GCF of 81,47,639 is 1 .

LCM of 90,901,714 is 567630.

The greatest common factor of 81/90,47/901,639/714 = [GCF of 81,47,639]/[LCM of 90,901,714]= 1/567630

Therefore, the GCF of 81/90,47/901,639/714 is 1/567630.

Greatest Common Factor of 81,47,639

To find the highest common factor of 81,47,639, we have to find the factors of both numbers and list the highest common factor.

The factors of 81 are 1, 3, 9, 27, 81

The factors of 47 are 1, 47

The factors of 639 are 1, 3, 9, 71, 213, 639

The HCF of 81,47,639 is 1.

Lets's calculate GCF of 81,47,639

Greatest Common Factor (GCF) of 81,47,639 By Common Division

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

Greatest Common Factor of 81,47,639 By Matching Biggest Common Factor Method

Now, list down the factors of 81

1,3,9,27,81

Now, list down the factors of 47

1,47

Now, list down the factors of 639

1,3,9,71,213,639

Greatest Common Factor

We found the factors 81,47,639 . The biggest common factor number is the GCF number.
So the greatest common factor 81,47,639 is 1.

Lets's calculate LCM of 90,901,714

Lowest Common Multiple of 90,901,714 using Common Division

2	90, 901, 714
3	45, 901, 357
17	15, 901, 119
	15, 53, 7

∴ So the LCM of the given numbers is 2 x 3 x 17 x 15 x 53 x 7 = 567630

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/567630

Therefore, the GCF of Fractions 81/90,47/901,639/714 is 1/567630

Least Common Multiple of 90,901,714 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 90,901,714 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(90,901,714) = 1

common factors(in case of two or more numbers have common factors) = 102

GCF(90,901,714) x common factors =1 x 102 = 102

LCM(90,901,714) = ( 90 × 901 × 714 ) / 102

LCM(90,901,714) = 57898260 / 102

LCM(90,901,714) = 567630

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 81/90, 47/901, 639/714

1. What is the HCF of 81,47,639?

The HCF of 81,47,639 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 81/90, 47/901, 639/714?

Answer: GCF of Numerators as per given numbers 81/90, 47/901, 639/714 is

GCF of Numerators i.e. for 81,47,639 is 1

LCM of denominators i.e. for 90,901,714 is 567630.

Thus, GCF of Fractions is 1/567630.Finally, GCF of Fractions for 81/90, 47/901, 639/714 is 1/567630.