Greatest Common Factor of 3613/495, 8604/8505

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 3613/495, 8604/8505

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 3613/495,8604/8505

Given fractions are 3613/495,8604/8505

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 3613,8604

Greatest Common Factor of Numerators i.e. GCF of 3613,8604 is 1 .

LCM of Denominators means LCM of 495,8505 as per the given fractions.

LCM of 495,8505 is 93555 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 3613,8604

GCF of Fractions 3613/495,8604/8505 is 1/93555

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

Greatest Common Factor of 3613,8604 By Matching Biggest Common Factor Method

Greatest Common Factor of 3613,8604 By Matching Biggest Common Factor Method

Factors of 3613

List of positive integer factors of 3613 that divides 3613 without a remainder.

1,3613

Factors of 8604

List of positive integer factors of 8604 that divides 8604 without a remainder.

1,2,3,4,6,9,12,18,36,239,478,717,956,1434,2151,2868,4302,8604

Greatest Common Factor

We found the factors 3613,8604 . The biggest common factor number is the GCF number.
So the greatest common factor 3613,8604 is 1.

Lets's calculate LCM of 495,8505

3 495, 8505
3 165, 2835
5 55, 945
11, 189

∴ So the LCM of the given numbers is 3 x 3 x 5 x 11 x 189 = 93555

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/93555

Therefore, the GCF of Fractions 3613/495,8604/8505 is 1/93555

Least Common Multiple of 495,8505 with GCF Formula

Least Common Multiple of 495,8505 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 495,8505 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(495,8505) = 45

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

GCF(495,8505) x common factors =45 x 1 = 45

LCM(495,8505) = ( 495 × 8505 ) / 45

LCM(495,8505) = 4209975 / 45

LCM(495,8505) = 93555


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 3613/495, 8604/8505

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 3613/495, 8604/8505?

Answer: GCF of Numerators as per given numbers 3613/495, 8604/8505 is

GCF of Numerators i.e. for 3613,8604 is 1

LCM of denominators i.e. for 495,8505 is 93555.

Thus, GCF of Fractions is 1/93555.Finally, GCF of Fractions for 3613/495, 8604/8505 is 1/93555.