How to Find GCF of 4168/478, 9323/5598?

GCF of 4168/478, 9323/5598

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 4168/478, 9323/5598 i.e 1/1337922 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4168/478, 9323/5598.

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 4168/478,9323/5598?

Given fractions are 4168/478,9323/5598

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 4168/478,9323/5598, numerators are 4168,9323

Denominators are 478,5598

The GCF of 4168,9323 is 1 .

LCM of 478,5598 is 1337922.

The greatest common factor of 4168/478,9323/5598 = [GCF of 4168,9323]/[LCM of 478,5598]= 1/1337922

Therefore, the GCF of 4168/478,9323/5598 is 1/1337922.

Greatest Common Factor of 4168,9323

To find the highest common factor of 4168,9323, we have to find the factors of both numbers and list the highest common factor.

The factors of 4168 are 1, 2, 4, 8, 521, 1042, 2084, 4168

The factors of 9323 are 1, 9323

The HCF of 4168,9323 is 1.

Lets's calculate GCF of 4168,9323

Greatest Common Factor (GCF) of 4168,9323 By Common Division

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

Greatest Common Factor of 4168,9323 By Matching Biggest Common Factor Method

Now, list down the factors of 4168

1,2,4,8,521,1042,2084,4168

Now, list down the factors of 9323

1,9323

Greatest Common Factor

We found the factors 4168,9323 . The biggest common factor number is the GCF number.
So the greatest common factor 4168,9323 is 1.

Lets's calculate LCM of 478,5598

Lowest Common Multiple of 478,5598 using Common Division

2	478, 5598
	239, 2799

∴ So the LCM of the given numbers is 2 x 239 x 2799 = 1337922

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1337922

Therefore, the GCF of Fractions 4168/478,9323/5598 is 1/1337922

Least Common Multiple of 478,5598 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 478,5598 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,5598) = 2

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

GCF(478,5598) x common factors =2 x 1 = 2

LCM(478,5598) = ( 478 × 5598 ) / 2

LCM(478,5598) = 2675844 / 2

LCM(478,5598) = 1337922

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FAQs on GCF of Fractions of 4168/478, 9323/5598

1. What is the HCF of 4168,9323?

The HCF of 4168,9323 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 4168/478, 9323/5598?

Answer: GCF of Numerators as per given numbers 4168/478, 9323/5598 is

GCF of Numerators i.e. for 4168,9323 is 1

LCM of denominators i.e. for 478,5598 is 1337922.

Thus, GCF of Fractions is 1/1337922.Finally, GCF of Fractions for 4168/478, 9323/5598 is 1/1337922.