Greatest Common Factor of 8435/92, 6305/201

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8435/92, 6305/201

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 8435/92,6305/201

Given fractions are 8435/92,6305/201

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 8435,6305

Greatest Common Factor of Numerators i.e. GCF of 8435,6305 is 5 .

LCM of Denominators means LCM of 92,201 as per the given fractions.

LCM of 92,201 is 18492 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8435,6305

GCF of Fractions 8435/92,6305/201 is 5/18492

5 8435, 6305
1687, 1261

∴ So the GCF of the given numbers is 5 = 5

Greatest Common Factor of 8435,6305 By Matching Biggest Common Factor Method

Greatest Common Factor of 8435,6305 By Matching Biggest Common Factor Method

Factors of 8435

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

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

Factors of 6305

List of positive integer factors of 6305 that divides 6305 without a remainder.

1,5,13,65,97,485,1261,6305

Greatest Common Factor

We found the factors 8435,6305 . The biggest common factor number is the GCF number.
So the greatest common factor 8435,6305 is 5.

Lets's calculate LCM of 92,201

Given numbers has no common factors except 1. So, there LCM is their product i.e 18492

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/18492

Therefore, the GCF of Fractions 8435/92,6305/201 is 5/18492

Least Common Multiple of 92,201 with GCF Formula

Least Common Multiple of 92,201 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 92,201 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(92,201) = 1

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

GCF(92,201) x common factors =1 x 1 = 1

LCM(92,201) = ( 92 × 201 ) / 1

LCM(92,201) = 18492 / 1

LCM(92,201) = 18492


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 8435/92, 6305/201

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 8435/92, 6305/201?

Answer: GCF of Numerators as per given numbers 8435/92, 6305/201 is

GCF of Numerators i.e. for 8435,6305 is 5

LCM of denominators i.e. for 92,201 is 18492.

Thus, GCF of Fractions is 5/18492.Finally, GCF of Fractions for 8435/92, 6305/201 is 5/18492.