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GCF of 417/216, 397/800

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 417/216, 397/800 i.e 1/21600 easily. The following is the detailed procedure to determine the greatest common factor of fractions 417/216, 397/800.

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

What is the GCF of 417/216,397/800?

Given fractions are 417/216,397/800

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 417/216,397/800, numerators are 417,397

Denominators are 216,800

The GCF of 417,397 is 1 .

LCM of 216,800 is 21600.

The greatest common factor of 417/216,397/800 = [GCF of 417,397]/[LCM of 216,800]= 1/21600

Therefore, the GCF of 417/216,397/800 is 1/21600.

Greatest Common Factor of 417,397

To find the highest common factor of 417,397, we have to find the factors of both numbers and list the highest common factor.

The factors of 417 are 1, 3, 139, 417

The factors of 397 are 1, 397

The HCF of 417,397 is 1.

Lets's calculate GCF of 417,397

Greatest Common Factor (GCF) of 417,397 By Common Division

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

Greatest Common Factor of 417,397 By Matching Biggest Common Factor Method

Greatest Common Factor of 417,397 By Matching Biggest Common Factor Method

Now, list down the factors of 417

:

1,3,139,417

Now, list down the factors of 397

:

1,397

Greatest Common Factor

We found the factors 417,397 . The biggest common factor number is the GCF number.
So the greatest common factor 417,397 is 1.

Lets's calculate LCM of 216,800

Lowest Common Multiple of 216,800 using Common Division

2 216, 800
2 108, 400
2 54, 200
27, 100

∴ So the LCM of the given numbers is 2 x 2 x 2 x 27 x 100 = 21600

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/21600

Therefore, the GCF of Fractions 417/216,397/800 is 1/21600

Least Common Multiple of 216,800 with GCF Formula

Least Common Multiple of 216,800 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 216,800 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(216,800) = 8

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

GCF(216,800) x common factors =8 x 1 = 8

LCM(216,800) = ( 216 × 800 ) / 8

LCM(216,800) = 172800 / 8

LCM(216,800) = 21600


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FAQs on GCF of Fractions of 417/216, 397/800

1. What is the HCF of 417,397?

The HCF of 417,397 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 417/216, 397/800?

Answer: GCF of Numerators as per given numbers 417/216, 397/800 is

GCF of Numerators i.e. for 417,397 is 1

LCM of denominators i.e. for 216,800 is 21600.

Thus, GCF of Fractions is 1/21600.Finally, GCF of Fractions for 417/216, 397/800 is 1/21600.