How to Find GCF of 6394/995, 3642/8524?

GCF of 6394/995, 3642/8524

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 6394/995, 3642/8524 i.e 2/8481380 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6394/995, 3642/8524.

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 6394/995,3642/8524?

Given fractions are 6394/995,3642/8524

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 6394/995,3642/8524, numerators are 6394,3642

Denominators are 995,8524

The GCF of 6394,3642 is 2 .

LCM of 995,8524 is 8481380.

The greatest common factor of 6394/995,3642/8524 = [GCF of 6394,3642]/[LCM of 995,8524]= 2/8481380

Therefore, the GCF of 6394/995,3642/8524 is 2/8481380.

Greatest Common Factor of 6394,3642

To find the highest common factor of 6394,3642, we have to find the factors of both numbers and list the highest common factor.

The factors of 6394 are 1, 2, 23, 46, 139, 278, 3197, 6394

The factors of 3642 are 1, 2, 3, 6, 607, 1214, 1821, 3642

The HCF of 6394,3642 is 2.

Lets's calculate GCF of 6394,3642

Greatest Common Factor (GCF) of 6394,3642 By Common Division

2	6394, 3642
	3197, 1821

∴ So the GCF of the given numbers is 2 = 2

Greatest Common Factor of 6394,3642 By Matching Biggest Common Factor Method

Now, list down the factors of 6394

1,2,23,46,139,278,3197,6394

Now, list down the factors of 3642

1,2,3,6,607,1214,1821,3642

Greatest Common Factor

We found the factors 6394,3642 . The biggest common factor number is the GCF number.
So the greatest common factor 6394,3642 is 2.

Lets's calculate LCM of 995,8524

Lowest Common Multiple of 995,8524 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 8481380

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/8481380

Therefore, the GCF of Fractions 6394/995,3642/8524 is 2/8481380

Least Common Multiple of 995,8524 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 995,8524 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(995,8524) = 1

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

GCF(995,8524) x common factors =1 x 1 = 1

LCM(995,8524) = ( 995 × 8524 ) / 1

LCM(995,8524) = 8481380 / 1

LCM(995,8524) = 8481380

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FAQs on GCF of Fractions of 6394/995, 3642/8524

1. What is the HCF of 6394,3642?

The HCF of 6394,3642 is 2

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 6394/995, 3642/8524?

Answer: GCF of Numerators as per given numbers 6394/995, 3642/8524 is

GCF of Numerators i.e. for 6394,3642 is 2

LCM of denominators i.e. for 995,8524 is 8481380.

Thus, GCF of Fractions is 2/8481380.Finally, GCF of Fractions for 6394/995, 3642/8524 is 2/8481380.