Greatest Common Factor of 664/834, 5665/1523

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 664/834, 5665/1523

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 664/834,5665/1523

Given fractions are 664/834,5665/1523

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 664,5665

Greatest Common Factor of Numerators i.e. GCF of 664,5665 is 1 .

LCM of Denominators means LCM of 834,1523 as per the given fractions.

LCM of 834,1523 is 1270182 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 664,5665

GCF of Fractions 664/834,5665/1523 is 1/1270182

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

Greatest Common Factor of 664,5665 By Matching Biggest Common Factor Method

Greatest Common Factor of 664,5665 By Matching Biggest Common Factor Method

Factors of 664

List of positive integer factors of 664 that divides 664 without a remainder.

1,2,4,8,83,166,332,664

Factors of 5665

List of positive integer factors of 5665 that divides 5665 without a remainder.

1,5,11,55,103,515,1133,5665

Greatest Common Factor

We found the factors 664,5665 . The biggest common factor number is the GCF number.
So the greatest common factor 664,5665 is 1.

Lets's calculate LCM of 834,1523

Given numbers has no common factors except 1. So, there LCM is their product i.e 1270182

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1270182

Therefore, the GCF of Fractions 664/834,5665/1523 is 1/1270182

Least Common Multiple of 834,1523 with GCF Formula

Least Common Multiple of 834,1523 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 834,1523 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(834,1523) = 1

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

GCF(834,1523) x common factors =1 x 1 = 1

LCM(834,1523) = ( 834 × 1523 ) / 1

LCM(834,1523) = 1270182 / 1

LCM(834,1523) = 1270182


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 664/834, 5665/1523

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 664/834, 5665/1523?

Answer: GCF of Numerators as per given numbers 664/834, 5665/1523 is

GCF of Numerators i.e. for 664,5665 is 1

LCM of denominators i.e. for 834,1523 is 1270182.

Thus, GCF of Fractions is 1/1270182.Finally, GCF of Fractions for 664/834, 5665/1523 is 1/1270182.