GCD of 724, 840, 361, 138 Calculator

Given Input numbers are 724, 840, 361, 138

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

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

Divisors of 840 :

The positive integer divisors of 840 that completely divides 840 are.

1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840

Divisors of 361 :

The positive integer divisors of 361 that completely divides 361 are.

1, 19, 361

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

GCD of numbers is the greatest common divisor

So, the GCD (724, 840, 361, 138) = 1.

Given numbers are 724, 840, 361, 138

The list of prime factors of all numbers are

Prime factors of 724 are 2 x 2 x 181

Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7

Prime factors of 361 are 19 x 19

Prime factors of 138 are 2 x 3 x 23

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

Given numbers are 724, 840, 361, 138

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

Apply this formula for all numbers.

Step1:

LCM(724, 840) = 152040

GCD(724, 840) = ( 724 x 840 ) / 152040

= 724 / 840

= 724

Step2:

LCM(4, 361) = 1444

GCD(4, 361) = ( 4 x 361 ) / 1444

= 4 / 361

= 4

Step3:

LCM(1, 138) = 138

GCD(1, 138) = ( 1 x 138 ) / 138

= 1 / 138

= 1

So, Greatest Common Divisor of 724, 840, 361, 138 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 658, 273, 702, 281
• GCD of 139, 625, 313, 150
• GCD of 879, 238, 909, 832
• GCD of 567, 312, 427, 904
• GCD of 990, 207, 714, 898

Given numbers are 724, 840, 361, 138
The greatest common divisor of numbers 724, 840, 361, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 724, 840, 361, 138 is 1.

1. What is the GCD of 724, 840, 361, 138?

GCD of given numbers 724, 840, 361, 138 is 1

2. How to calculate the greatest common divisor of 724, 840, 361, 138?

We can find the highest common divisor of 724, 840, 361, 138 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 724, 840, 361, 138 i.e 1.

3. How can I use the GCD of 724, 840, 361, 138Calculator?

Out the numbers 724, 840, 361, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.