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GCF of 849/414, 199/997

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 849/414, 199/997 i.e 1/412758 easily. The following is the detailed procedure to determine the greatest common factor of fractions 849/414, 199/997.

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 849/414,199/997?

Given fractions are 849/414,199/997

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 849/414,199/997, numerators are 849,199

Denominators are 414,997

The GCF of 849,199 is 1 .

LCM of 414,997 is 412758.

The greatest common factor of 849/414,199/997 = [GCF of 849,199]/[LCM of 414,997]= 1/412758

Therefore, the GCF of 849/414,199/997 is 1/412758.

Greatest Common Factor of 849,199

To find the highest common factor of 849,199, we have to find the factors of both numbers and list the highest common factor.

The factors of 849 are 1, 3, 283, 849

The factors of 199 are 1, 199

The HCF of 849,199 is 1.

Lets's calculate GCF of 849,199

Greatest Common Factor (GCF) of 849,199 By Common Division

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

Greatest Common Factor of 849,199 By Matching Biggest Common Factor Method

Greatest Common Factor of 849,199 By Matching Biggest Common Factor Method

Now, list down the factors of 849

:

1,3,283,849

Now, list down the factors of 199

:

1,199

Greatest Common Factor

We found the factors 849,199 . The biggest common factor number is the GCF number.
So the greatest common factor 849,199 is 1.

Lets's calculate LCM of 414,997

Lowest Common Multiple of 414,997 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 412758

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/412758

Therefore, the GCF of Fractions 849/414,199/997 is 1/412758

Least Common Multiple of 414,997 with GCF Formula

Least Common Multiple of 414,997 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 414,997 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,997) = 1

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

GCF(414,997) x common factors =1 x 1 = 1

LCM(414,997) = ( 414 × 997 ) / 1

LCM(414,997) = 412758 / 1

LCM(414,997) = 412758


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FAQs on GCF of Fractions of 849/414, 199/997

1. What is the HCF of 849,199?

The HCF of 849,199 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 849/414, 199/997?

Answer: GCF of Numerators as per given numbers 849/414, 199/997 is

GCF of Numerators i.e. for 849,199 is 1

LCM of denominators i.e. for 414,997 is 412758.

Thus, GCF of Fractions is 1/412758.Finally, GCF of Fractions for 849/414, 199/997 is 1/412758.