Greatest Common Factor of 736/689, 4665/898

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 736/689, 4665/898

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 736/689,4665/898

Given fractions are 736/689,4665/898

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 736,4665

Greatest Common Factor of Numerators i.e. GCF of 736,4665 is 1 .

LCM of Denominators means LCM of 689,898 as per the given fractions.

LCM of 689,898 is 618722 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 736,4665

GCF of Fractions 736/689,4665/898 is 1/618722

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

Greatest Common Factor of 736,4665 By Matching Biggest Common Factor Method

Greatest Common Factor of 736,4665 By Matching Biggest Common Factor Method

Factors of 736

List of positive integer factors of 736 that divides 736 without a remainder.

1,2,4,8,16,23,32,46,92,184,368,736

Factors of 4665

List of positive integer factors of 4665 that divides 4665 without a remainder.

1,3,5,15,311,933,1555,4665

Greatest Common Factor

We found the factors 736,4665 . The biggest common factor number is the GCF number.
So the greatest common factor 736,4665 is 1.

Lets's calculate LCM of 689,898

Given numbers has no common factors except 1. So, there LCM is their product i.e 618722

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/618722

Therefore, the GCF of Fractions 736/689,4665/898 is 1/618722

Least Common Multiple of 689,898 with GCF Formula

Least Common Multiple of 689,898 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 689,898 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(689,898) = 1

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

GCF(689,898) x common factors =1 x 1 = 1

LCM(689,898) = ( 689 × 898 ) / 1

LCM(689,898) = 618722 / 1

LCM(689,898) = 618722


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 736/689, 4665/898

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 736/689, 4665/898?

Answer: GCF of Numerators as per given numbers 736/689, 4665/898 is

GCF of Numerators i.e. for 736,4665 is 1

LCM of denominators i.e. for 689,898 is 618722.

Thus, GCF of Fractions is 1/618722.Finally, GCF of Fractions for 736/689, 4665/898 is 1/618722.