How to Find GCF of 9799/584, 6685/6165?

GCF of 9799/584, 6685/6165

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 9799/584, 6685/6165 i.e 1/3600360 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9799/584, 6685/6165.

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 9799/584,6685/6165?

Given fractions are 9799/584,6685/6165

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 9799/584,6685/6165, numerators are 9799,6685

Denominators are 584,6165

The GCF of 9799,6685 is 1 .

LCM of 584,6165 is 3600360.

The greatest common factor of 9799/584,6685/6165 = [GCF of 9799,6685]/[LCM of 584,6165]= 1/3600360

Therefore, the GCF of 9799/584,6685/6165 is 1/3600360.

Greatest Common Factor of 9799,6685

To find the highest common factor of 9799,6685, we have to find the factors of both numbers and list the highest common factor.

The factors of 9799 are 1, 41, 239, 9799

The factors of 6685 are 1, 5, 7, 35, 191, 955, 1337, 6685

The HCF of 9799,6685 is 1.

Lets's calculate GCF of 9799,6685

Greatest Common Factor (GCF) of 9799,6685 By Common Division

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

Greatest Common Factor of 9799,6685 By Matching Biggest Common Factor Method

Now, list down the factors of 9799

1,41,239,9799

Now, list down the factors of 6685

1,5,7,35,191,955,1337,6685

Greatest Common Factor

We found the factors 9799,6685 . The biggest common factor number is the GCF number.
So the greatest common factor 9799,6685 is 1.

Lets's calculate LCM of 584,6165

Lowest Common Multiple of 584,6165 using Common Division

Given numbers has no common factors except 1. So, there LCM is their product i.e 3600360

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3600360

Therefore, the GCF of Fractions 9799/584,6685/6165 is 1/3600360

Least Common Multiple of 584,6165 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 584,6165 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(584,6165) = 1

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

GCF(584,6165) x common factors =1 x 1 = 1

LCM(584,6165) = ( 584 × 6165 ) / 1

LCM(584,6165) = 3600360 / 1

LCM(584,6165) = 3600360

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

FAQs on GCF of Fractions of 9799/584, 6685/6165

1. What is the HCF of 9799,6685?

The HCF of 9799,6685 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 9799/584, 6685/6165?

Answer: GCF of Numerators as per given numbers 9799/584, 6685/6165 is

GCF of Numerators i.e. for 9799,6685 is 1

LCM of denominators i.e. for 584,6165 is 3600360.

Thus, GCF of Fractions is 1/3600360.Finally, GCF of Fractions for 9799/584, 6685/6165 is 1/3600360.