Greatest Common Factor of 1663/797, 8435/8235

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 1663/797, 8435/8235

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 1663/797,8435/8235

Given fractions are 1663/797,8435/8235

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 1663,8435

Greatest Common Factor of Numerators i.e. GCF of 1663,8435 is 1 .

LCM of Denominators means LCM of 797,8235 as per the given fractions.

LCM of 797,8235 is 6563295 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 1663,8435

GCF of Fractions 1663/797,8435/8235 is 1/6563295

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

Greatest Common Factor of 1663,8435 By Matching Biggest Common Factor Method

Greatest Common Factor of 1663,8435 By Matching Biggest Common Factor Method

Factors of 1663

List of positive integer factors of 1663 that divides 1663 without a remainder.

1,1663

Factors of 8435

List of positive integer factors of 8435 that divides 8435 without a remainder.

1,5,7,35,241,1205,1687,8435

Greatest Common Factor

We found the factors 1663,8435 . The biggest common factor number is the GCF number.
So the greatest common factor 1663,8435 is 1.

Lets's calculate LCM of 797,8235

Given numbers has no common factors except 1. So, there LCM is their product i.e 6563295

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6563295

Therefore, the GCF of Fractions 1663/797,8435/8235 is 1/6563295

Least Common Multiple of 797,8235 with GCF Formula

Least Common Multiple of 797,8235 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 797,8235 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(797,8235) = 1

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

GCF(797,8235) x common factors =1 x 1 = 1

LCM(797,8235) = ( 797 × 8235 ) / 1

LCM(797,8235) = 6563295 / 1

LCM(797,8235) = 6563295


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 1663/797, 8435/8235

1. 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.

2. What is the GCF of Fractions for 1663/797, 8435/8235?

Answer: GCF of Numerators as per given numbers 1663/797, 8435/8235 is

GCF of Numerators i.e. for 1663,8435 is 1

LCM of denominators i.e. for 797,8235 is 6563295.

Thus, GCF of Fractions is 1/6563295.Finally, GCF of Fractions for 1663/797, 8435/8235 is 1/6563295.