Greatest Common Factor of 693/593, 707/561

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 693/593, 707/561

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 693/593,707/561

Given fractions are 693/593,707/561

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 693,707

Greatest Common Factor of Numerators i.e. GCF of 693,707 is 7 .

LCM of Denominators means LCM of 593,561 as per the given fractions.

LCM of 593,561 is 332673 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 693,707

GCF of Fractions 693/593,707/561 is 7/332673

7 693, 707
99, 101

∴ So the GCF of the given numbers is 7 = 7

Greatest Common Factor of 693,707 By Matching Biggest Common Factor Method

Greatest Common Factor of 693,707 By Matching Biggest Common Factor Method

Factors of 693

List of positive integer factors of 693 that divides 693 without a remainder.

1,3,7,9,11,21,33,63,77,99,231,693

Factors of 707

List of positive integer factors of 707 that divides 707 without a remainder.

1,7,101,707

Greatest Common Factor

We found the factors 693,707 . The biggest common factor number is the GCF number.
So the greatest common factor 693,707 is 7.

Lets's calculate LCM of 593,561

Given numbers has no common factors except 1. So, there LCM is their product i.e 332673

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/332673

Therefore, the GCF of Fractions 693/593,707/561 is 7/332673

Least Common Multiple of 593,561 with GCF Formula

Least Common Multiple of 593,561 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 593,561 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(593,561) = 1

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

GCF(593,561) x common factors =1 x 1 = 1

LCM(593,561) = ( 593 × 561 ) / 1

LCM(593,561) = 332673 / 1

LCM(593,561) = 332673


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 693/593, 707/561

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 693/593, 707/561?

Answer: GCF of Numerators as per given numbers 693/593, 707/561 is

GCF of Numerators i.e. for 693,707 is 7

LCM of denominators i.e. for 593,561 is 332673.

Thus, GCF of Fractions is 7/332673.Finally, GCF of Fractions for 693/593, 707/561 is 7/332673.