How to Find GCF of 4217/469, 9405/9610?

GCF of 4217/469, 9405/9610

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 4217/469, 9405/9610 i.e 1/4507090 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4217/469, 9405/9610.

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 4217/469,9405/9610?

Given fractions are 4217/469,9405/9610

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 4217/469,9405/9610, numerators are 4217,9405

Denominators are 469,9610

The GCF of 4217,9405 is 1 .

LCM of 469,9610 is 4507090.

The greatest common factor of 4217/469,9405/9610 = [GCF of 4217,9405]/[LCM of 469,9610]= 1/4507090

Therefore, the GCF of 4217/469,9405/9610 is 1/4507090.

Greatest Common Factor of 4217,9405

To find the highest common factor of 4217,9405, we have to find the factors of both numbers and list the highest common factor.

The factors of 4217 are 1, 4217

The factors of 9405 are 1, 3, 5, 9, 11, 15, 19, 33, 45, 55, 57, 95, 99, 165, 171, 209, 285, 495, 627, 855, 1045, 1881, 3135, 9405

The HCF of 4217,9405 is 1.

Lets's calculate GCF of 4217,9405

Greatest Common Factor (GCF) of 4217,9405 By Common Division

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 4217,9405 By Matching Biggest Common Factor Method

Now, list down the factors of 4217

1,4217

Now, list down the factors of 9405

1,3,5,9,11,15,19,33,45,55,57,95,99,165,171,209,285,495,627,855,1045,1881,3135,9405

Greatest Common Factor

We found the factors 4217,9405 . The biggest common factor number is the GCF number.
So the greatest common factor 4217,9405 is 1.

Lets's calculate LCM of 469,9610

Lowest Common Multiple of 469,9610 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 4507090

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4507090

Therefore, the GCF of Fractions 4217/469,9405/9610 is 1/4507090

Least Common Multiple of 469,9610 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 469,9610 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(469,9610) = 1

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

GCF(469,9610) x common factors =1 x 1 = 1

LCM(469,9610) = ( 469 × 9610 ) / 1

LCM(469,9610) = 4507090 / 1

LCM(469,9610) = 4507090

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FAQs on GCF of Fractions of 4217/469, 9405/9610

1. What is the HCF of 4217,9405?

The HCF of 4217,9405 is 1

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 4217/469, 9405/9610?

Answer: GCF of Numerators as per given numbers 4217/469, 9405/9610 is

GCF of Numerators i.e. for 4217,9405 is 1

LCM of denominators i.e. for 469,9610 is 4507090.

Thus, GCF of Fractions is 1/4507090.Finally, GCF of Fractions for 4217/469, 9405/9610 is 1/4507090.