Greatest Common Factor of 8464/772, 3729/3153

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 8464/772, 3729/3153

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 8464/772,3729/3153

Given fractions are 8464/772,3729/3153

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 8464,3729

Greatest Common Factor of Numerators i.e. GCF of 8464,3729 is 1 .

LCM of Denominators means LCM of 772,3153 as per the given fractions.

LCM of 772,3153 is 2434116 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 8464,3729

GCF of Fractions 8464/772,3729/3153 is 1/2434116

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

Greatest Common Factor of 8464,3729 By Matching Biggest Common Factor Method

Greatest Common Factor of 8464,3729 By Matching Biggest Common Factor Method

Factors of 8464

List of positive integer factors of 8464 that divides 8464 without a remainder.

1,2,4,8,16,23,46,92,184,368,529,1058,2116,4232,8464

Factors of 3729

List of positive integer factors of 3729 that divides 3729 without a remainder.

1,3,11,33,113,339,1243,3729

Greatest Common Factor

We found the factors 8464,3729 . The biggest common factor number is the GCF number.
So the greatest common factor 8464,3729 is 1.

Lets's calculate LCM of 772,3153

Given numbers has no common factors except 1. So, there LCM is their product i.e 2434116

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2434116

Therefore, the GCF of Fractions 8464/772,3729/3153 is 1/2434116

Least Common Multiple of 772,3153 with GCF Formula

Least Common Multiple of 772,3153 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 772,3153 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(772,3153) = 1

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

GCF(772,3153) x common factors =1 x 1 = 1

LCM(772,3153) = ( 772 × 3153 ) / 1

LCM(772,3153) = 2434116 / 1

LCM(772,3153) = 2434116


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 8464/772, 3729/3153

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 8464/772, 3729/3153?

Answer: GCF of Numerators as per given numbers 8464/772, 3729/3153 is

GCF of Numerators i.e. for 8464,3729 is 1

LCM of denominators i.e. for 772,3153 is 2434116.

Thus, GCF of Fractions is 1/2434116.Finally, GCF of Fractions for 8464/772, 3729/3153 is 1/2434116.