GCD of 355, 945, 475, 722 Calculator

Given Input numbers are 355, 945, 475, 722

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 945 :

The positive integer divisors of 945 that completely divides 945 are.

1, 3, 5, 7, 9, 15, 21, 27, 35, 45, 63, 105, 135, 189, 315, 945

Divisors of 475 :

The positive integer divisors of 475 that completely divides 475 are.

1, 5, 19, 25, 95, 475

Divisors of 722 :

The positive integer divisors of 722 that completely divides 722 are.

1, 2, 19, 38, 361, 722

GCD of numbers is the greatest common divisor

So, the GCD (355, 945, 475, 722) = 1.

Given numbers are 355, 945, 475, 722

The list of prime factors of all numbers are

Prime factors of 355 are 5 x 71

Prime factors of 945 are 3 x 3 x 3 x 5 x 7

Prime factors of 475 are 5 x 5 x 19

Prime factors of 722 are 2 x 19 x 19

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

Given numbers are 355, 945, 475, 722

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

Apply this formula for all numbers.

Step1:

LCM(355, 945) = 67095

GCD(355, 945) = ( 355 x 945 ) / 67095

= 355 / 945

= 355

Step2:

LCM(5, 475) = 475

GCD(5, 475) = ( 5 x 475 ) / 475

= 5 / 475

= 5

Step3:

LCM(5, 722) = 3610

GCD(5, 722) = ( 5 x 722 ) / 3610

= 5 / 722

= 5

So, Greatest Common Divisor of 355, 945, 475, 722 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 140, 855, 745
• GCD of 105, 885, 105, 172
• GCD of 452, 272, 809, 296
• GCD of 822, 465, 158, 267
• GCD of 316, 527, 130, 238

Given numbers are 355, 945, 475, 722
The greatest common divisor of numbers 355, 945, 475, 722 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 355, 945, 475, 722 is 1.

1. What is the GCD of 355, 945, 475, 722?

GCD of given numbers 355, 945, 475, 722 is 1

2. How to calculate the greatest common divisor of 355, 945, 475, 722?

We can find the highest common divisor of 355, 945, 475, 722 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, 945, 475, 722 i.e 1.

3. How can I use the GCD of 355, 945, 475, 722Calculator?

Out the numbers 355, 945, 475, 722 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.