GCD of 897, 742, 139, 360 Calculator

Given Input numbers are 897, 742, 139, 360

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

Divisors of 897 :

The positive integer divisors of 897 that completely divides 897 are.

1, 3, 13, 23, 39, 69, 299, 897

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

Divisors of 139 :

The positive integer divisors of 139 that completely divides 139 are.

1, 139

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (897, 742, 139, 360) = 1.

Given numbers are 897, 742, 139, 360

The list of prime factors of all numbers are

Prime factors of 897 are 3 x 13 x 23

Prime factors of 742 are 2 x 7 x 53

Prime factors of 139 are 139

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

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

Given numbers are 897, 742, 139, 360

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

Apply this formula for all numbers.

Step1:

LCM(897, 742) = 665574

GCD(897, 742) = ( 897 x 742 ) / 665574

= 897 / 742

= 897

Step2:

LCM(1, 139) = 139

GCD(1, 139) = ( 1 x 139 ) / 139

= 1 / 139

= 1

Step3:

LCM(1, 360) = 360

GCD(1, 360) = ( 1 x 360 ) / 360

= 1 / 360

= 1

So, Greatest Common Divisor of 897, 742, 139, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 680, 541, 382, 904
• GCD of 495, 452, 131, 618
• GCD of 352, 208, 506, 398
• GCD of 648, 624, 498, 766
• GCD of 996, 661, 938, 879

Given numbers are 897, 742, 139, 360
The greatest common divisor of numbers 897, 742, 139, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 897, 742, 139, 360 is 1.

1. What is the GCD of 897, 742, 139, 360?

GCD of given numbers 897, 742, 139, 360 is 1

2. How to calculate the greatest common divisor of 897, 742, 139, 360?

We can find the highest common divisor of 897, 742, 139, 360 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 897, 742, 139, 360 i.e 1.

3. How can I use the GCD of 897, 742, 139, 360Calculator?

Out the numbers 897, 742, 139, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.