GCD of 355, 524, 698, 972 Calculator

Given Input numbers are 355, 524, 698, 972

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

Divisors of 355 :

The positive integer divisors of 355 that completely divides 355 are.

1, 5, 71, 355

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (355, 524, 698, 972) = 1.

Given numbers are 355, 524, 698, 972

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 524 are 2 x 2 x 131

Prime factors of 698 are 2 x 349

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 355, 524, 698, 972

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

Apply this formula for all numbers.

Step1:

LCM(355, 524) = 186020

GCD(355, 524) = ( 355 x 524 ) / 186020

= 355 / 524

= 355

Step2:

LCM(1, 698) = 698

GCD(1, 698) = ( 1 x 698 ) / 698

= 1 / 698

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 355, 524, 698, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 925, 713, 209, 179
• GCD of 786, 250, 202, 474
• GCD of 418, 375, 898, 135
• GCD of 589, 999, 428, 214
• GCD of 907, 334, 357, 425

Given numbers are 355, 524, 698, 972
The greatest common divisor of numbers 355, 524, 698, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 524, 698, 972 is 1.

1. What is the GCD of 355, 524, 698, 972?

GCD of given numbers 355, 524, 698, 972 is 1

2. How to calculate the greatest common divisor of 355, 524, 698, 972?

We can find the highest common divisor of 355, 524, 698, 972 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 355, 524, 698, 972 i.e 1.

3. How can I use the GCD of 355, 524, 698, 972Calculator?

Out the numbers 355, 524, 698, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.