How to Find GCF of 5385/459, 9978/8977?

GCF of 5385/459, 9978/8977

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 5385/459, 9978/8977 i.e 3/4120443 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5385/459, 9978/8977.

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 5385/459,9978/8977?

Given fractions are 5385/459,9978/8977

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 5385/459,9978/8977, numerators are 5385,9978

Denominators are 459,8977

The GCF of 5385,9978 is 3 .

LCM of 459,8977 is 4120443.

The greatest common factor of 5385/459,9978/8977 = [GCF of 5385,9978]/[LCM of 459,8977]= 3/4120443

Therefore, the GCF of 5385/459,9978/8977 is 3/4120443.

Greatest Common Factor of 5385,9978

To find the highest common factor of 5385,9978, we have to find the factors of both numbers and list the highest common factor.

The factors of 5385 are 1, 3, 5, 15, 359, 1077, 1795, 5385

The factors of 9978 are 1, 2, 3, 6, 1663, 3326, 4989, 9978

The HCF of 5385,9978 is 3.

Lets's calculate GCF of 5385,9978

Greatest Common Factor (GCF) of 5385,9978 By Common Division

3	5385, 9978
	1795, 3326

∴ So the GCF of the given numbers is 3 = 3

Greatest Common Factor of 5385,9978 By Matching Biggest Common Factor Method

Now, list down the factors of 5385

1,3,5,15,359,1077,1795,5385

Now, list down the factors of 9978

1,2,3,6,1663,3326,4989,9978

Greatest Common Factor

We found the factors 5385,9978 . The biggest common factor number is the GCF number.
So the greatest common factor 5385,9978 is 3.

Lets's calculate LCM of 459,8977

Lowest Common Multiple of 459,8977 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4120443

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/4120443

Therefore, the GCF of Fractions 5385/459,9978/8977 is 3/4120443

Least Common Multiple of 459,8977 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 459,8977 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(459,8977) = 1

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

GCF(459,8977) x common factors =1 x 1 = 1

LCM(459,8977) = ( 459 × 8977 ) / 1

LCM(459,8977) = 4120443 / 1

LCM(459,8977) = 4120443

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FAQs on GCF of Fractions of 5385/459, 9978/8977

1. What is the HCF of 5385,9978?

The HCF of 5385,9978 is 3

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 5385/459, 9978/8977?

Answer: GCF of Numerators as per given numbers 5385/459, 9978/8977 is

GCF of Numerators i.e. for 5385,9978 is 3

LCM of denominators i.e. for 459,8977 is 4120443.

Thus, GCF of Fractions is 3/4120443.Finally, GCF of Fractions for 5385/459, 9978/8977 is 3/4120443.