How to Find GCF of 4132/849, 8390/637?

GCF of 4132/849, 8390/637

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 4132/849, 8390/637 i.e 2/540813 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4132/849, 8390/637.

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 4132/849,8390/637?

Given fractions are 4132/849,8390/637

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 4132/849,8390/637, numerators are 4132,8390

Denominators are 849,637

The GCF of 4132,8390 is 2 .

LCM of 849,637 is 540813.

The greatest common factor of 4132/849,8390/637 = [GCF of 4132,8390]/[LCM of 849,637]= 2/540813

Therefore, the GCF of 4132/849,8390/637 is 2/540813.

Greatest Common Factor of 4132,8390

To find the highest common factor of 4132,8390, we have to find the factors of both numbers and list the highest common factor.

The factors of 4132 are 1, 2, 4, 1033, 2066, 4132

The factors of 8390 are 1, 2, 5, 10, 839, 1678, 4195, 8390

The HCF of 4132,8390 is 2.

Lets's calculate GCF of 4132,8390

Greatest Common Factor (GCF) of 4132,8390 By Common Division

2	4132, 8390
	2066, 4195

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

Greatest Common Factor of 4132,8390 By Matching Biggest Common Factor Method

Now, list down the factors of 4132

1,2,4,1033,2066,4132

Now, list down the factors of 8390

1,2,5,10,839,1678,4195,8390

Greatest Common Factor

We found the factors 4132,8390 . The biggest common factor number is the GCF number.
So the greatest common factor 4132,8390 is 2.

Lets's calculate LCM of 849,637

Lowest Common Multiple of 849,637 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 540813

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/540813

Therefore, the GCF of Fractions 4132/849,8390/637 is 2/540813

Least Common Multiple of 849,637 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 849,637 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(849,637) = 1

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

GCF(849,637) x common factors =1 x 1 = 1

LCM(849,637) = ( 849 × 637 ) / 1

LCM(849,637) = 540813 / 1

LCM(849,637) = 540813

GCF of Fractions Calculation Examples

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FAQs on GCF of Fractions of 4132/849, 8390/637

1. What is the HCF of 4132,8390?

The HCF of 4132,8390 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 4132/849, 8390/637?

Answer: GCF of Numerators as per given numbers 4132/849, 8390/637 is

GCF of Numerators i.e. for 4132,8390 is 2

LCM of denominators i.e. for 849,637 is 540813.

Thus, GCF of Fractions is 2/540813.Finally, GCF of Fractions for 4132/849, 8390/637 is 2/540813.