Greatest Common Factor of 808/29, 648/3499

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


GCF of 808/29, 648/3499

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 808/29,648/3499

Given fractions are 808/29,648/3499

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 808,648

Greatest Common Factor of Numerators i.e. GCF of 808,648 is 8 .

LCM of Denominators means LCM of 29,3499 as per the given fractions.

LCM of 29,3499 is 101471 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 808,648

GCF of Fractions 808/29,648/3499 is 8/101471

2 808, 648
2 404, 324
2 202, 162
101, 81

∴ So the GCF of the given numbers is 2 x 2 x 2 = 8

Greatest Common Factor of 808,648 By Matching Biggest Common Factor Method

Greatest Common Factor of 808,648 By Matching Biggest Common Factor Method

Factors of 808

List of positive integer factors of 808 that divides 808 without a remainder.

1,2,4,8,101,202,404,808

Factors of 648

List of positive integer factors of 648 that divides 648 without a remainder.

1,2,3,4,6,8,9,12,18,24,27,36,54,72,81,108,162,216,324,648

Greatest Common Factor

We found the factors 808,648 . The biggest common factor number is the GCF number.
So the greatest common factor 808,648 is 8.


Lets's calculate LCM of 29,3499

Given numbers has no common factors except 1. So, there LCM is their product i.e 101471

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 8/101471

Therefore, the GCF of Fractions 808/29,648/3499 is 8/101471

Least Common Multiple of 29,3499 with GCF Formula

Least Common Multiple of 29,3499 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 29,3499 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(29,3499) = 1

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

GCF(29,3499) x common factors =1 x 1 = 1

LCM(29,3499) = ( 29 × 3499 ) / 1

LCM(29,3499) = 101471 / 1

LCM(29,3499) = 101471


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Frequently Asked Questions on Fractional GCF of 808/29, 648/3499

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 808/29, 648/3499?

Answer: GCF of Numerators as per given numbers 808/29, 648/3499 is

GCF of Numerators i.e. for 808,648 is 8

LCM of denominators i.e. for 29,3499 is 101471.

Thus, GCF of Fractions is 8/101471.Finally, GCF of Fractions for 808/29, 648/3499 is 8/101471.