How to Find GCF of 442/408, 6490/454?

GCF of 442/408, 6490/454

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 442/408, 6490/454 i.e 2/92616 easily. The following is the detailed procedure to determine the greatest common factor of fractions 442/408, 6490/454.

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 442/408,6490/454?

Given fractions are 442/408,6490/454

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 442/408,6490/454, numerators are 442,6490

Denominators are 408,454

The GCF of 442,6490 is 2 .

LCM of 408,454 is 92616.

The greatest common factor of 442/408,6490/454 = [GCF of 442,6490]/[LCM of 408,454]= 2/92616

Therefore, the GCF of 442/408,6490/454 is 2/92616.

Greatest Common Factor of 442,6490

To find the highest common factor of 442,6490, we have to find the factors of both numbers and list the highest common factor.

The factors of 442 are 1, 2, 13, 17, 26, 34, 221, 442

The factors of 6490 are 1, 2, 5, 10, 11, 22, 55, 59, 110, 118, 295, 590, 649, 1298, 3245, 6490

The HCF of 442,6490 is 2.

Lets's calculate GCF of 442,6490

Greatest Common Factor (GCF) of 442,6490 By Common Division

2	442, 6490
	221, 3245

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

Greatest Common Factor of 442,6490 By Matching Biggest Common Factor Method

Now, list down the factors of 442

1,2,13,17,26,34,221,442

Now, list down the factors of 6490

1,2,5,10,11,22,55,59,110,118,295,590,649,1298,3245,6490

Greatest Common Factor

We found the factors 442,6490 . The biggest common factor number is the GCF number.
So the greatest common factor 442,6490 is 2.

Lets's calculate LCM of 408,454

Lowest Common Multiple of 408,454 using Common Division

2	408, 454
	204, 227

∴ So the LCM of the given numbers is 2 x 204 x 227 = 92616

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/92616

Therefore, the GCF of Fractions 442/408,6490/454 is 2/92616

Least Common Multiple of 408,454 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 408,454 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(408,454) = 2

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

GCF(408,454) x common factors =2 x 1 = 2

LCM(408,454) = ( 408 × 454 ) / 2

LCM(408,454) = 185232 / 2

LCM(408,454) = 92616

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FAQs on GCF of Fractions of 442/408, 6490/454

1. What is the HCF of 442,6490?

The HCF of 442,6490 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 442/408, 6490/454?

Answer: GCF of Numerators as per given numbers 442/408, 6490/454 is

GCF of Numerators i.e. for 442,6490 is 2

LCM of denominators i.e. for 408,454 is 92616.

Thus, GCF of Fractions is 2/92616.Finally, GCF of Fractions for 442/408, 6490/454 is 2/92616.