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GCF of 8399/214, 4099/2229

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 8399/214, 4099/2229 i.e 1/477006 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8399/214, 4099/2229.

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 8399/214,4099/2229?

Given fractions are 8399/214,4099/2229

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 8399/214,4099/2229, numerators are 8399,4099

Denominators are 214,2229

The GCF of 8399,4099 is 1 .

LCM of 214,2229 is 477006.

The greatest common factor of 8399/214,4099/2229 = [GCF of 8399,4099]/[LCM of 214,2229]= 1/477006

Therefore, the GCF of 8399/214,4099/2229 is 1/477006.

Greatest Common Factor of 8399,4099

To find the highest common factor of 8399,4099, we have to find the factors of both numbers and list the highest common factor.

The factors of 8399 are 1, 37, 227, 8399

The factors of 4099 are 1, 4099

The HCF of 8399,4099 is 1.

Lets's calculate GCF of 8399,4099

Greatest Common Factor (GCF) of 8399,4099 By Common Division

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

Greatest Common Factor of 8399,4099 By Matching Biggest Common Factor Method

Greatest Common Factor of 8399,4099 By Matching Biggest Common Factor Method

Now, list down the factors of 8399

:

1,37,227,8399

Now, list down the factors of 4099

:

1,4099

Greatest Common Factor

We found the factors 8399,4099 . The biggest common factor number is the GCF number.
So the greatest common factor 8399,4099 is 1.

Lets's calculate LCM of 214,2229

Lowest Common Multiple of 214,2229 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 477006

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/477006

Therefore, the GCF of Fractions 8399/214,4099/2229 is 1/477006

Least Common Multiple of 214,2229 with GCF Formula

Least Common Multiple of 214,2229 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 214,2229 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(214,2229) = 1

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

GCF(214,2229) x common factors =1 x 1 = 1

LCM(214,2229) = ( 214 × 2229 ) / 1

LCM(214,2229) = 477006 / 1

LCM(214,2229) = 477006


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FAQs on GCF of Fractions of 8399/214, 4099/2229

1. What is the HCF of 8399,4099?

The HCF of 8399,4099 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 8399/214, 4099/2229?

Answer: GCF of Numerators as per given numbers 8399/214, 4099/2229 is

GCF of Numerators i.e. for 8399,4099 is 1

LCM of denominators i.e. for 214,2229 is 477006.

Thus, GCF of Fractions is 1/477006.Finally, GCF of Fractions for 8399/214, 4099/2229 is 1/477006.