How to Find GCF of 4091/463, 9847/1599?

GCF of 4091/463, 9847/1599

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 4091/463, 9847/1599 i.e 1/740337 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4091/463, 9847/1599.

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 4091/463,9847/1599?

Given fractions are 4091/463,9847/1599

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 4091/463,9847/1599, numerators are 4091,9847

Denominators are 463,1599

The GCF of 4091,9847 is 1 .

LCM of 463,1599 is 740337.

The greatest common factor of 4091/463,9847/1599 = [GCF of 4091,9847]/[LCM of 463,1599]= 1/740337

Therefore, the GCF of 4091/463,9847/1599 is 1/740337.

Greatest Common Factor of 4091,9847

To find the highest common factor of 4091,9847, we have to find the factors of both numbers and list the highest common factor.

The factors of 4091 are 1, 4091

The factors of 9847 are 1, 43, 229, 9847

The HCF of 4091,9847 is 1.

Lets's calculate GCF of 4091,9847

Greatest Common Factor (GCF) of 4091,9847 By Common Division

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

Greatest Common Factor of 4091,9847 By Matching Biggest Common Factor Method

Now, list down the factors of 4091

1,4091

Now, list down the factors of 9847

1,43,229,9847

Greatest Common Factor

We found the factors 4091,9847 . The biggest common factor number is the GCF number.
So the greatest common factor 4091,9847 is 1.

Lets's calculate LCM of 463,1599

Lowest Common Multiple of 463,1599 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 740337

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/740337

Therefore, the GCF of Fractions 4091/463,9847/1599 is 1/740337

Least Common Multiple of 463,1599 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 463,1599 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(463,1599) = 1

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

GCF(463,1599) x common factors =1 x 1 = 1

LCM(463,1599) = ( 463 × 1599 ) / 1

LCM(463,1599) = 740337 / 1

LCM(463,1599) = 740337

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FAQs on GCF of Fractions of 4091/463, 9847/1599

1. What is the HCF of 4091,9847?

The HCF of 4091,9847 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 4091/463, 9847/1599?

Answer: GCF of Numerators as per given numbers 4091/463, 9847/1599 is

GCF of Numerators i.e. for 4091,9847 is 1

LCM of denominators i.e. for 463,1599 is 740337.

Thus, GCF of Fractions is 1/740337.Finally, GCF of Fractions for 4091/463, 9847/1599 is 1/740337.