How to Find GCF of 89/520, 91/522, 926/919?

GCF of 89/520, 91/522, 926/919

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 89/520, 91/522, 926/919 i.e 1/124726680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 89/520, 91/522, 926/919.

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 89/520,91/522,926/919?

Given fractions are 89/520,91/522,926/919

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 89/520,91/522,926/919, numerators are 89,91,926

Denominators are 520,522,919

The GCF of 89,91,926 is 1 .

LCM of 520,522,919 is 124726680.

The greatest common factor of 89/520,91/522,926/919 = [GCF of 89,91,926]/[LCM of 520,522,919]= 1/124726680

Therefore, the GCF of 89/520,91/522,926/919 is 1/124726680.

Greatest Common Factor of 89,91,926

To find the highest common factor of 89,91,926, we have to find the factors of both numbers and list the highest common factor.

The factors of 89 are 1, 89

The factors of 91 are 1, 7, 13, 91

The factors of 926 are 1, 2, 463, 926

The HCF of 89,91,926 is 1.

Lets's calculate GCF of 89,91,926

Greatest Common Factor (GCF) of 89,91,926 By Common Division

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

Greatest Common Factor of 89,91,926 By Matching Biggest Common Factor Method

Now, list down the factors of 89

1,89

Now, list down the factors of 91

1,7,13,91

Now, list down the factors of 926

1,2,463,926

Greatest Common Factor

We found the factors 89,91,926 . The biggest common factor number is the GCF number.
So the greatest common factor 89,91,926 is 1.

Lets's calculate LCM of 520,522,919

Lowest Common Multiple of 520,522,919 using Common Division

2	520, 522, 919
	260, 261, 919

∴ So the LCM of the given numbers is 2 x 260 x 261 x 919 = 124726680

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/124726680

Therefore, the GCF of Fractions 89/520,91/522,926/919 is 1/124726680

Least Common Multiple of 520,522,919 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 520,522,919 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(520,522,919) = 1

common factors(in case of two or more numbers have common factors) = 2

GCF(520,522,919) x common factors =1 x 2 = 2

LCM(520,522,919) = ( 520 × 522 × 919 ) / 2

LCM(520,522,919) = 249453360 / 2

LCM(520,522,919) = 124726680

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 89/520, 91/522, 926/919

1. What is the HCF of 89,91,926?

The HCF of 89,91,926 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 89/520, 91/522, 926/919?

Answer: GCF of Numerators as per given numbers 89/520, 91/522, 926/919 is

GCF of Numerators i.e. for 89,91,926 is 1

LCM of denominators i.e. for 520,522,919 is 124726680.

Thus, GCF of Fractions is 1/124726680.Finally, GCF of Fractions for 89/520, 91/522, 926/919 is 1/124726680.