GCD of 945, 198, 53, 355 Calculator

Given Input numbers are 945, 198, 53, 355

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

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 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

Divisors of 53 :

The positive integer divisors of 53 that completely divides 53 are.

1, 53

Divisors of 355 :

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

1, 5, 71, 355

GCD of numbers is the greatest common divisor

So, the GCD (945, 198, 53, 355) = 1.

Given numbers are 945, 198, 53, 355

The list of prime factors of all numbers are

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

Prime factors of 198 are 2 x 3 x 3 x 11

Prime factors of 53 are 53

Prime factors of 355 are 5 x 71

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

Given numbers are 945, 198, 53, 355

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

Apply this formula for all numbers.

Step1:

LCM(945, 198) = 20790

GCD(945, 198) = ( 945 x 198 ) / 20790

= 945 / 198

= 945

Step2:

LCM(9, 53) = 477

GCD(9, 53) = ( 9 x 53 ) / 477

= 9 / 53

= 9

Step3:

LCM(1, 355) = 355

GCD(1, 355) = ( 1 x 355 ) / 355

= 1 / 355

= 1

So, Greatest Common Divisor of 945, 198, 53, 355 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 107, 759, 43, 647
• GCD of 243, 750, 80, 569
• GCD of 897, 769, 78, 834
• GCD of 800, 932, 48, 772
• GCD of 870, 153, 95, 478

Given numbers are 945, 198, 53, 355
The greatest common divisor of numbers 945, 198, 53, 355 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 198, 53, 355 is 1.

1. What is the GCD of 945, 198, 53, 355?

GCD of given numbers 945, 198, 53, 355 is 1

2. How to calculate the greatest common divisor of 945, 198, 53, 355?

We can find the highest common divisor of 945, 198, 53, 355 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 945, 198, 53, 355 i.e 1.

3. How can I use the GCD of 945, 198, 53, 355Calculator?

Out the numbers 945, 198, 53, 355 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.