How to Find GCF of 8623/400, 4995/3912?

GCF of 8623/400, 4995/3912

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 8623/400, 4995/3912 i.e 1/195600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8623/400, 4995/3912.

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 8623/400,4995/3912?

Given fractions are 8623/400,4995/3912

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 8623/400,4995/3912, numerators are 8623,4995

Denominators are 400,3912

The GCF of 8623,4995 is 1 .

LCM of 400,3912 is 195600.

The greatest common factor of 8623/400,4995/3912 = [GCF of 8623,4995]/[LCM of 400,3912]= 1/195600

Therefore, the GCF of 8623/400,4995/3912 is 1/195600.

Greatest Common Factor of 8623,4995

To find the highest common factor of 8623,4995, we have to find the factors of both numbers and list the highest common factor.

The factors of 8623 are 1, 8623

The factors of 4995 are 1, 3, 5, 9, 15, 27, 37, 45, 111, 135, 185, 333, 555, 999, 1665, 4995

The HCF of 8623,4995 is 1.

Lets's calculate GCF of 8623,4995

Greatest Common Factor (GCF) of 8623,4995 By Common Division

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

Greatest Common Factor of 8623,4995 By Matching Biggest Common Factor Method

Now, list down the factors of 8623

1,8623

Now, list down the factors of 4995

1,3,5,9,15,27,37,45,111,135,185,333,555,999,1665,4995

Greatest Common Factor

We found the factors 8623,4995 . The biggest common factor number is the GCF number.
So the greatest common factor 8623,4995 is 1.

Lets's calculate LCM of 400,3912

Lowest Common Multiple of 400,3912 using Common Division

2	400, 3912
2	200, 1956
2	100, 978
	50, 489

∴ So the LCM of the given numbers is 2 x 2 x 2 x 50 x 489 = 195600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/195600

Therefore, the GCF of Fractions 8623/400,4995/3912 is 1/195600

Least Common Multiple of 400,3912 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 400,3912 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(400,3912) = 8

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

GCF(400,3912) x common factors =8 x 1 = 8

LCM(400,3912) = ( 400 × 3912 ) / 8

LCM(400,3912) = 1564800 / 8

LCM(400,3912) = 195600

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FAQs on GCF of Fractions of 8623/400, 4995/3912

1. What is the HCF of 8623,4995?

The HCF of 8623,4995 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 8623/400, 4995/3912?

Answer: GCF of Numerators as per given numbers 8623/400, 4995/3912 is

GCF of Numerators i.e. for 8623,4995 is 1

LCM of denominators i.e. for 400,3912 is 195600.

Thus, GCF of Fractions is 1/195600.Finally, GCF of Fractions for 8623/400, 4995/3912 is 1/195600.