GCD of 360, 256, 701, 898 Calculator

Given Input numbers are 360, 256, 701, 898

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

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

Divisors of 256 :

The positive integer divisors of 256 that completely divides 256 are.

1, 2, 4, 8, 16, 32, 64, 128, 256

Divisors of 701 :

The positive integer divisors of 701 that completely divides 701 are.

1, 701

Divisors of 898 :

The positive integer divisors of 898 that completely divides 898 are.

1, 2, 449, 898

GCD of numbers is the greatest common divisor

So, the GCD (360, 256, 701, 898) = 1.

Given numbers are 360, 256, 701, 898

The list of prime factors of all numbers are

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

Prime factors of 256 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 701 are 701

Prime factors of 898 are 2 x 449

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

Given numbers are 360, 256, 701, 898

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

Apply this formula for all numbers.

Step1:

LCM(360, 256) = 11520

GCD(360, 256) = ( 360 x 256 ) / 11520

= 360 / 256

= 360

Step2:

LCM(8, 701) = 5608

GCD(8, 701) = ( 8 x 701 ) / 5608

= 8 / 701

= 8

Step3:

LCM(1, 898) = 898

GCD(1, 898) = ( 1 x 898 ) / 898

= 1 / 898

= 1

So, Greatest Common Divisor of 360, 256, 701, 898 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 979, 672, 430, 669
• GCD of 519, 731, 685, 646
• GCD of 185, 731, 879, 719
• GCD of 160, 623, 996, 390
• GCD of 241, 537, 743, 654

Given numbers are 360, 256, 701, 898
The greatest common divisor of numbers 360, 256, 701, 898 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 256, 701, 898 is 1.

1. What is the GCD of 360, 256, 701, 898?

GCD of given numbers 360, 256, 701, 898 is 1

2. How to calculate the greatest common divisor of 360, 256, 701, 898?

We can find the highest common divisor of 360, 256, 701, 898 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 360, 256, 701, 898 i.e 1.

3. How can I use the GCD of 360, 256, 701, 898Calculator?

Out the numbers 360, 256, 701, 898 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.