GCD of 732, 694, 140, 289 Calculator

Given Input numbers are 732, 694, 140, 289

In the factoring method, we have to find the divisors of all numbers

Divisors of 732 :

The positive integer divisors of 732 that completely divides 732 are.

1, 2, 3, 4, 6, 12, 61, 122, 183, 244, 366, 732

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 289 :

The positive integer divisors of 289 that completely divides 289 are.

1, 17, 289

GCD of numbers is the greatest common divisor

So, the GCD (732, 694, 140, 289) = 1.

Given numbers are 732, 694, 140, 289

The list of prime factors of all numbers are

Prime factors of 732 are 2 x 2 x 3 x 61

Prime factors of 694 are 2 x 347

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 289 are 17 x 17

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 732, 694, 140, 289

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(732, 694) = 254004

GCD(732, 694) = ( 732 x 694 ) / 254004

= 732 / 694

= 732

Step2:

LCM(2, 140) = 140

GCD(2, 140) = ( 2 x 140 ) / 140

= 2 / 140

= 2

Step3:

LCM(2, 289) = 578

GCD(2, 289) = ( 2 x 289 ) / 578

= 2 / 289

= 2

So, Greatest Common Divisor of 732, 694, 140, 289 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 102, 234, 855, 298
• GCD of 408, 810, 445, 668
• GCD of 731, 247, 938, 978
• GCD of 154, 564, 234, 585
• GCD of 910, 799, 290, 251

Given numbers are 732, 694, 140, 289
The greatest common divisor of numbers 732, 694, 140, 289 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 732, 694, 140, 289 is 1.

1. What is the GCD of 732, 694, 140, 289?

GCD of given numbers 732, 694, 140, 289 is 1

2. How to calculate the greatest common divisor of 732, 694, 140, 289?

We can find the highest common divisor of 732, 694, 140, 289 easily using the prime factorization method. Just list the prime factors of all numbers and pick the highest common factor which is the GCD of 732, 694, 140, 289 i.e 1.

3. How can I use the GCD of 732, 694, 140, 289Calculator?

Out the numbers 732, 694, 140, 289 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.