How to Find GCF of 589/373, 862/780, 667/532?

GCF of 589/373, 862/780, 667/532

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 589/373, 862/780, 667/532 i.e 1/38695020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 589/373, 862/780, 667/532.

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 589/373,862/780,667/532?

Given fractions are 589/373,862/780,667/532

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 589/373,862/780,667/532, numerators are 589,862,667

Denominators are 373,780,532

The GCF of 589,862,667 is 1 .

LCM of 373,780,532 is 38695020.

The greatest common factor of 589/373,862/780,667/532 = [GCF of 589,862,667]/[LCM of 373,780,532]= 1/38695020

Therefore, the GCF of 589/373,862/780,667/532 is 1/38695020.

Greatest Common Factor of 589,862,667

To find the highest common factor of 589,862,667, we have to find the factors of both numbers and list the highest common factor.

The factors of 589 are 1, 19, 31, 589

The factors of 862 are 1, 2, 431, 862

The factors of 667 are 1, 23, 29, 667

The HCF of 589,862,667 is 1.

Lets's calculate GCF of 589,862,667

Greatest Common Factor (GCF) of 589,862,667 By Common Division

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

Greatest Common Factor of 589,862,667 By Matching Biggest Common Factor Method

Now, list down the factors of 589

1,19,31,589

Now, list down the factors of 862

1,2,431,862

Now, list down the factors of 667

1,23,29,667

Greatest Common Factor

We found the factors 589,862,667 . The biggest common factor number is the GCF number.
So the greatest common factor 589,862,667 is 1.

Lets's calculate LCM of 373,780,532

Lowest Common Multiple of 373,780,532 using Common Division

2	373, 780, 532
2	373, 390, 266
	373, 195, 133

∴ So the LCM of the given numbers is 2 x 2 x 373 x 195 x 133 = 38695020

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/38695020

Therefore, the GCF of Fractions 589/373,862/780,667/532 is 1/38695020

Least Common Multiple of 373,780,532 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 373,780,532 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(373,780,532) = 1

common factors(in case of two or more numbers have common factors) = 4

GCF(373,780,532) x common factors =1 x 4 = 4

LCM(373,780,532) = ( 373 × 780 × 532 ) / 4

LCM(373,780,532) = 154780080 / 4

LCM(373,780,532) = 38695020

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 589/373, 862/780, 667/532

1. What is the HCF of 589,862,667?

The HCF of 589,862,667 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 589/373, 862/780, 667/532?

Answer: GCF of Numerators as per given numbers 589/373, 862/780, 667/532 is

GCF of Numerators i.e. for 589,862,667 is 1

LCM of denominators i.e. for 373,780,532 is 38695020.

Thus, GCF of Fractions is 1/38695020.Finally, GCF of Fractions for 589/373, 862/780, 667/532 is 1/38695020.