How to Find GCF of 259/89, 737/19, 490/24?

GCF of 259/89, 737/19, 490/24

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 259/89, 737/19, 490/24 i.e 1/40584 easily. The following is the detailed procedure to determine the greatest common factor of fractions 259/89, 737/19, 490/24.

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 259/89,737/19,490/24?

Given fractions are 259/89,737/19,490/24

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 259/89,737/19,490/24, numerators are 259,737,490

Denominators are 89,19,24

The GCF of 259,737,490 is 1 .

LCM of 89,19,24 is 40584.

The greatest common factor of 259/89,737/19,490/24 = [GCF of 259,737,490]/[LCM of 89,19,24]= 1/40584

Therefore, the GCF of 259/89,737/19,490/24 is 1/40584.

Greatest Common Factor of 259,737,490

To find the highest common factor of 259,737,490, we have to find the factors of both numbers and list the highest common factor.

The factors of 259 are 1, 7, 37, 259

The factors of 737 are 1, 11, 67, 737

The factors of 490 are 1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

The HCF of 259,737,490 is 1.

Lets's calculate GCF of 259,737,490

Greatest Common Factor (GCF) of 259,737,490 By Common Division

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

Greatest Common Factor of 259,737,490 By Matching Biggest Common Factor Method

Now, list down the factors of 259

1,7,37,259

Now, list down the factors of 737

1,11,67,737

Now, list down the factors of 490

1,2,5,7,10,14,35,49,70,98,245,490

Greatest Common Factor

We found the factors 259,737,490 . The biggest common factor number is the GCF number.
So the greatest common factor 259,737,490 is 1.

Lets's calculate LCM of 89,19,24

Lowest Common Multiple of 89,19,24 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 40584

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40584

Therefore, the GCF of Fractions 259/89,737/19,490/24 is 1/40584

Least Common Multiple of 89,19,24 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 89,19,24 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(89,19,24) = 1

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

GCF(89,19,24) x common factors =1 x 1 = 1

LCM(89,19,24) = ( 89 × 19 × 24 ) / 1

LCM(89,19,24) = 40584 / 1

LCM(89,19,24) = 40584

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FAQs on GCF of Fractions of 259/89, 737/19, 490/24

1. What is the HCF of 259,737,490?

The HCF of 259,737,490 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 259/89, 737/19, 490/24?

Answer: GCF of Numerators as per given numbers 259/89, 737/19, 490/24 is

GCF of Numerators i.e. for 259,737,490 is 1

LCM of denominators i.e. for 89,19,24 is 40584.

Thus, GCF of Fractions is 1/40584.Finally, GCF of Fractions for 259/89, 737/19, 490/24 is 1/40584.