How to Find GCF of 90/97, 59/17, 499/74?

GCF of 90/97, 59/17, 499/74

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 90/97, 59/17, 499/74 i.e 1/122026 easily. The following is the detailed procedure to determine the greatest common factor of fractions 90/97, 59/17, 499/74.

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 90/97,59/17,499/74?

Given fractions are 90/97,59/17,499/74

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 90/97,59/17,499/74, numerators are 90,59,499

Denominators are 97,17,74

The GCF of 90,59,499 is 1 .

LCM of 97,17,74 is 122026.

The greatest common factor of 90/97,59/17,499/74 = [GCF of 90,59,499]/[LCM of 97,17,74]= 1/122026

Therefore, the GCF of 90/97,59/17,499/74 is 1/122026.

Greatest Common Factor of 90,59,499

To find the highest common factor of 90,59,499, we have to find the factors of both numbers and list the highest common factor.

The factors of 90 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

The factors of 59 are 1, 59

The factors of 499 are 1, 499

The HCF of 90,59,499 is 1.

Lets's calculate GCF of 90,59,499

Greatest Common Factor (GCF) of 90,59,499 By Common Division

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

Greatest Common Factor of 90,59,499 By Matching Biggest Common Factor Method

Now, list down the factors of 90

1,2,3,5,6,9,10,15,18,30,45,90

Now, list down the factors of 59

1,59

Now, list down the factors of 499

1,499

Greatest Common Factor

We found the factors 90,59,499 . The biggest common factor number is the GCF number.
So the greatest common factor 90,59,499 is 1.

Lets's calculate LCM of 97,17,74

Lowest Common Multiple of 97,17,74 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 122026

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/122026

Therefore, the GCF of Fractions 90/97,59/17,499/74 is 1/122026

Least Common Multiple of 97,17,74 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 97,17,74 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(97,17,74) = 1

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

GCF(97,17,74) x common factors =1 x 1 = 1

LCM(97,17,74) = ( 97 × 17 × 74 ) / 1

LCM(97,17,74) = 122026 / 1

LCM(97,17,74) = 122026

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 90/97, 59/17, 499/74

1. What is the HCF of 90,59,499?

The HCF of 90,59,499 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 90/97, 59/17, 499/74?

Answer: GCF of Numerators as per given numbers 90/97, 59/17, 499/74 is

GCF of Numerators i.e. for 90,59,499 is 1

LCM of denominators i.e. for 97,17,74 is 122026.

Thus, GCF of Fractions is 1/122026.Finally, GCF of Fractions for 90/97, 59/17, 499/74 is 1/122026.