Greatest Common Factor of 774/699, 989/697

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 774/699, 989/697

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 774/699,989/697

Given fractions are 774/699,989/697

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 774,989

Greatest Common Factor of Numerators i.e. GCF of 774,989 is 43 .

LCM of Denominators means LCM of 699,697 as per the given fractions.

LCM of 699,697 is 487203 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 774,989

GCF of Fractions 774/699,989/697 is 43/487203

43 774, 989
18, 23

∴ So the GCF of the given numbers is 43 = 43

Greatest Common Factor of 774,989 By Matching Biggest Common Factor Method

Greatest Common Factor of 774,989 By Matching Biggest Common Factor Method

Factors of 774

List of positive integer factors of 774 that divides 774 without a remainder.

1,2,3,6,9,18,43,86,129,258,387,774

Factors of 989

List of positive integer factors of 989 that divides 989 without a remainder.

1,23,43,989

Greatest Common Factor

We found the factors 774,989 . The biggest common factor number is the GCF number.
So the greatest common factor 774,989 is 43.

Lets's calculate LCM of 699,697

Given numbers has no common factors except 1. So, there LCM is their product i.e 487203

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 43/487203

Therefore, the GCF of Fractions 774/699,989/697 is 43/487203

Least Common Multiple of 699,697 with GCF Formula

Least Common Multiple of 699,697 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 699,697 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(699,697) = 1

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

GCF(699,697) x common factors =1 x 1 = 1

LCM(699,697) = ( 699 × 697 ) / 1

LCM(699,697) = 487203 / 1

LCM(699,697) = 487203


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 774/699, 989/697

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 774/699, 989/697?

Answer: GCF of Numerators as per given numbers 774/699, 989/697 is

GCF of Numerators i.e. for 774,989 is 43

LCM of denominators i.e. for 699,697 is 487203.

Thus, GCF of Fractions is 43/487203.Finally, GCF of Fractions for 774/699, 989/697 is 43/487203.