GCD of 140, 825, 59, 723 Calculator

Given Input numbers are 140, 825, 59, 723

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

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 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 59 :

The positive integer divisors of 59 that completely divides 59 are.

1, 59

Divisors of 723 :

The positive integer divisors of 723 that completely divides 723 are.

1, 3, 241, 723

GCD of numbers is the greatest common divisor

So, the GCD (140, 825, 59, 723) = 1.

Given numbers are 140, 825, 59, 723

The list of prime factors of all numbers are

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

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 59 are 59

Prime factors of 723 are 3 x 241

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

Given numbers are 140, 825, 59, 723

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

Apply this formula for all numbers.

Step1:

LCM(140, 825) = 23100

GCD(140, 825) = ( 140 x 825 ) / 23100

= 140 / 825

= 140

Step2:

LCM(5, 59) = 295

GCD(5, 59) = ( 5 x 59 ) / 295

= 5 / 59

= 5

Step3:

LCM(1, 723) = 723

GCD(1, 723) = ( 1 x 723 ) / 723

= 1 / 723

= 1

So, Greatest Common Divisor of 140, 825, 59, 723 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 624, 44, 318
• GCD of 827, 179, 83, 364
• GCD of 193, 271, 21, 833
• GCD of 860, 708, 88, 752
• GCD of 872, 105, 41, 654

Given numbers are 140, 825, 59, 723
The greatest common divisor of numbers 140, 825, 59, 723 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 825, 59, 723 is 1.

1. What is the GCD of 140, 825, 59, 723?

GCD of given numbers 140, 825, 59, 723 is 1

2. How to calculate the greatest common divisor of 140, 825, 59, 723?

We can find the highest common divisor of 140, 825, 59, 723 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 140, 825, 59, 723 i.e 1.

3. How can I use the GCD of 140, 825, 59, 723Calculator?

Out the numbers 140, 825, 59, 723 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.