How to Find GCF of 5778/478, 4363/2912?

GCF of 5778/478, 4363/2912

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 5778/478, 4363/2912 i.e 1/695968 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5778/478, 4363/2912.

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 5778/478,4363/2912?

Given fractions are 5778/478,4363/2912

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 5778/478,4363/2912, numerators are 5778,4363

Denominators are 478,2912

The GCF of 5778,4363 is 1 .

LCM of 478,2912 is 695968.

The greatest common factor of 5778/478,4363/2912 = [GCF of 5778,4363]/[LCM of 478,2912]= 1/695968

Therefore, the GCF of 5778/478,4363/2912 is 1/695968.

Greatest Common Factor of 5778,4363

To find the highest common factor of 5778,4363, we have to find the factors of both numbers and list the highest common factor.

The factors of 5778 are 1, 2, 3, 6, 9, 18, 27, 54, 107, 214, 321, 642, 963, 1926, 2889, 5778

The factors of 4363 are 1, 4363

The HCF of 5778,4363 is 1.

Lets's calculate GCF of 5778,4363

Greatest Common Factor (GCF) of 5778,4363 By Common Division

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

Greatest Common Factor of 5778,4363 By Matching Biggest Common Factor Method

Now, list down the factors of 5778

1,2,3,6,9,18,27,54,107,214,321,642,963,1926,2889,5778

Now, list down the factors of 4363

1,4363

Greatest Common Factor

We found the factors 5778,4363 . The biggest common factor number is the GCF number.
So the greatest common factor 5778,4363 is 1.

Lets's calculate LCM of 478,2912

Lowest Common Multiple of 478,2912 using Common Division

2	478, 2912
	239, 1456

∴ So the LCM of the given numbers is 2 x 239 x 1456 = 695968

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/695968

Therefore, the GCF of Fractions 5778/478,4363/2912 is 1/695968

Least Common Multiple of 478,2912 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 478,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(478,2912) = 2

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

GCF(478,2912) x common factors =2 x 1 = 2

LCM(478,2912) = ( 478 × 2912 ) / 2

LCM(478,2912) = 1391936 / 2

LCM(478,2912) = 695968

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FAQs on GCF of Fractions of 5778/478, 4363/2912

1. What is the HCF of 5778,4363?

The HCF of 5778,4363 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 5778/478, 4363/2912?

Answer: GCF of Numerators as per given numbers 5778/478, 4363/2912 is

GCF of Numerators i.e. for 5778,4363 is 1

LCM of denominators i.e. for 478,2912 is 695968.

Thus, GCF of Fractions is 1/695968.Finally, GCF of Fractions for 5778/478, 4363/2912 is 1/695968.