How to Find GCF of 1999/414, 2479/8597?

GCF of 1999/414, 2479/8597

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 1999/414, 2479/8597 i.e 1/3559158 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1999/414, 2479/8597.

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 1999/414,2479/8597?

Given fractions are 1999/414,2479/8597

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 1999/414,2479/8597, numerators are 1999,2479

Denominators are 414,8597

The GCF of 1999,2479 is 1 .

LCM of 414,8597 is 3559158.

The greatest common factor of 1999/414,2479/8597 = [GCF of 1999,2479]/[LCM of 414,8597]= 1/3559158

Therefore, the GCF of 1999/414,2479/8597 is 1/3559158.

Greatest Common Factor of 1999,2479

To find the highest common factor of 1999,2479, we have to find the factors of both numbers and list the highest common factor.

The factors of 1999 are 1, 1999

The factors of 2479 are 1, 37, 67, 2479

The HCF of 1999,2479 is 1.

Lets's calculate GCF of 1999,2479

Greatest Common Factor (GCF) of 1999,2479 By Common Division

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

Greatest Common Factor of 1999,2479 By Matching Biggest Common Factor Method

Now, list down the factors of 1999

1,1999

Now, list down the factors of 2479

1,37,67,2479

Greatest Common Factor

We found the factors 1999,2479 . The biggest common factor number is the GCF number.
So the greatest common factor 1999,2479 is 1.

Lets's calculate LCM of 414,8597

Lowest Common Multiple of 414,8597 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3559158

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3559158

Therefore, the GCF of Fractions 1999/414,2479/8597 is 1/3559158

Least Common Multiple of 414,8597 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 414,8597 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(414,8597) = 1

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

GCF(414,8597) x common factors =1 x 1 = 1

LCM(414,8597) = ( 414 × 8597 ) / 1

LCM(414,8597) = 3559158 / 1

LCM(414,8597) = 3559158

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FAQs on GCF of Fractions of 1999/414, 2479/8597

1. What is the HCF of 1999,2479?

The HCF of 1999,2479 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 1999/414, 2479/8597?

Answer: GCF of Numerators as per given numbers 1999/414, 2479/8597 is

GCF of Numerators i.e. for 1999,2479 is 1

LCM of denominators i.e. for 414,8597 is 3559158.

Thus, GCF of Fractions is 1/3559158.Finally, GCF of Fractions for 1999/414, 2479/8597 is 1/3559158.