How to Find GCF of 489/196, 7087/568?

GCF of 489/196, 7087/568

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 489/196, 7087/568 i.e 1/27832 easily. The following is the detailed procedure to determine the greatest common factor of fractions 489/196, 7087/568.

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 489/196,7087/568?

Given fractions are 489/196,7087/568

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 489/196,7087/568, numerators are 489,7087

Denominators are 196,568

The GCF of 489,7087 is 1 .

LCM of 196,568 is 27832.

The greatest common factor of 489/196,7087/568 = [GCF of 489,7087]/[LCM of 196,568]= 1/27832

Therefore, the GCF of 489/196,7087/568 is 1/27832.

Greatest Common Factor of 489,7087

To find the highest common factor of 489,7087, we have to find the factors of both numbers and list the highest common factor.

The factors of 489 are 1, 3, 163, 489

The factors of 7087 are 1, 19, 373, 7087

The HCF of 489,7087 is 1.

Lets's calculate GCF of 489,7087

Greatest Common Factor (GCF) of 489,7087 By Common Division

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

Greatest Common Factor of 489,7087 By Matching Biggest Common Factor Method

Now, list down the factors of 489

1,3,163,489

Now, list down the factors of 7087

1,19,373,7087

Greatest Common Factor

We found the factors 489,7087 . The biggest common factor number is the GCF number.
So the greatest common factor 489,7087 is 1.

Lets's calculate LCM of 196,568

Lowest Common Multiple of 196,568 using Common Division

2	196, 568
2	98, 284
	49, 142

∴ So the LCM of the given numbers is 2 x 2 x 49 x 142 = 27832

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/27832

Therefore, the GCF of Fractions 489/196,7087/568 is 1/27832

Least Common Multiple of 196,568 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 196,568 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(196,568) = 4

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

GCF(196,568) x common factors =4 x 1 = 4

LCM(196,568) = ( 196 × 568 ) / 4

LCM(196,568) = 111328 / 4

LCM(196,568) = 27832

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 489/196, 7087/568

1. What is the HCF of 489,7087?

The HCF of 489,7087 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 489/196, 7087/568?

Answer: GCF of Numerators as per given numbers 489/196, 7087/568 is

GCF of Numerators i.e. for 489,7087 is 1

LCM of denominators i.e. for 196,568 is 27832.

Thus, GCF of Fractions is 1/27832.Finally, GCF of Fractions for 489/196, 7087/568 is 1/27832.