How to Find GCF of 404/43, 168/3640?

GCF of 404/43, 168/3640

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 404/43, 168/3640 i.e 4/156520 easily. The following is the detailed procedure to determine the greatest common factor of fractions 404/43, 168/3640.

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 404/43,168/3640?

Given fractions are 404/43,168/3640

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 404/43,168/3640, numerators are 404,168

Denominators are 43,3640

The GCF of 404,168 is 4 .

LCM of 43,3640 is 156520.

The greatest common factor of 404/43,168/3640 = [GCF of 404,168]/[LCM of 43,3640]= 4/156520

Therefore, the GCF of 404/43,168/3640 is 4/156520.

Greatest Common Factor of 404,168

To find the highest common factor of 404,168, we have to find the factors of both numbers and list the highest common factor.

The factors of 404 are 1, 2, 4, 101, 202, 404

The factors of 168 are 1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

The HCF of 404,168 is 4.

Lets's calculate GCF of 404,168

Greatest Common Factor (GCF) of 404,168 By Common Division

2	404, 168
2	202, 84
	101, 42

∴ So the GCF of the given numbers is 2 x 2 = 4

Greatest Common Factor of 404,168 By Matching Biggest Common Factor Method

Now, list down the factors of 404

1,2,4,101,202,404

Now, list down the factors of 168

1,2,3,4,6,7,8,12,14,21,24,28,42,56,84,168

Greatest Common Factor

We found the factors 404,168 . The biggest common factor number is the GCF number.
So the greatest common factor 404,168 is 4.

Lets's calculate LCM of 43,3640

Lowest Common Multiple of 43,3640 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 156520

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/156520

Therefore, the GCF of Fractions 404/43,168/3640 is 4/156520

Least Common Multiple of 43,3640 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 43,3640 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(43,3640) = 1

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

GCF(43,3640) x common factors =1 x 1 = 1

LCM(43,3640) = ( 43 × 3640 ) / 1

LCM(43,3640) = 156520 / 1

LCM(43,3640) = 156520

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FAQs on GCF of Fractions of 404/43, 168/3640

1. What is the HCF of 404,168?

The HCF of 404,168 is 4

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 404/43, 168/3640?

Answer: GCF of Numerators as per given numbers 404/43, 168/3640 is

GCF of Numerators i.e. for 404,168 is 4

LCM of denominators i.e. for 43,3640 is 156520.

Thus, GCF of Fractions is 4/156520.Finally, GCF of Fractions for 404/43, 168/3640 is 4/156520.