How to Find GCF of 6454/421, 9462/3195?

GCF of 6454/421, 9462/3195

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 6454/421, 9462/3195 i.e 2/1345095 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6454/421, 9462/3195.

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 6454/421,9462/3195?

Given fractions are 6454/421,9462/3195

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 6454/421,9462/3195, numerators are 6454,9462

Denominators are 421,3195

The GCF of 6454,9462 is 2 .

LCM of 421,3195 is 1345095.

The greatest common factor of 6454/421,9462/3195 = [GCF of 6454,9462]/[LCM of 421,3195]= 2/1345095

Therefore, the GCF of 6454/421,9462/3195 is 2/1345095.

Greatest Common Factor of 6454,9462

To find the highest common factor of 6454,9462, we have to find the factors of both numbers and list the highest common factor.

The factors of 6454 are 1, 2, 7, 14, 461, 922, 3227, 6454

The factors of 9462 are 1, 2, 3, 6, 19, 38, 57, 83, 114, 166, 249, 498, 1577, 3154, 4731, 9462

The HCF of 6454,9462 is 2.

Lets's calculate GCF of 6454,9462

Greatest Common Factor (GCF) of 6454,9462 By Common Division

2	6454, 9462
	3227, 4731

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

Greatest Common Factor of 6454,9462 By Matching Biggest Common Factor Method

Now, list down the factors of 6454

1,2,7,14,461,922,3227,6454

Now, list down the factors of 9462

1,2,3,6,19,38,57,83,114,166,249,498,1577,3154,4731,9462

Greatest Common Factor

We found the factors 6454,9462 . The biggest common factor number is the GCF number.
So the greatest common factor 6454,9462 is 2.

Lets's calculate LCM of 421,3195

Lowest Common Multiple of 421,3195 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 1345095

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/1345095

Therefore, the GCF of Fractions 6454/421,9462/3195 is 2/1345095

Least Common Multiple of 421,3195 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 421,3195 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(421,3195) = 1

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

GCF(421,3195) x common factors =1 x 1 = 1

LCM(421,3195) = ( 421 × 3195 ) / 1

LCM(421,3195) = 1345095 / 1

LCM(421,3195) = 1345095

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FAQs on GCF of Fractions of 6454/421, 9462/3195

1. What is the HCF of 6454,9462?

The HCF of 6454,9462 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 6454/421, 9462/3195?

Answer: GCF of Numerators as per given numbers 6454/421, 9462/3195 is

GCF of Numerators i.e. for 6454,9462 is 2

LCM of denominators i.e. for 421,3195 is 1345095.

Thus, GCF of Fractions is 2/1345095.Finally, GCF of Fractions for 6454/421, 9462/3195 is 2/1345095.