GCD of 945, 524, 202, 360 Calculator

Given Input numbers are 945, 524, 202, 360

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 524 :

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

1, 2, 4, 131, 262, 524

Divisors of 202 :

The positive integer divisors of 202 that completely divides 202 are.

1, 2, 101, 202

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 (945, 524, 202, 360) = 1.

Given numbers are 945, 524, 202, 360

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 524 are 2 x 2 x 131

Prime factors of 202 are 2 x 101

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 945, 524, 202, 360

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

Apply this formula for all numbers.

Step1:

LCM(945, 524) = 495180

GCD(945, 524) = ( 945 x 524 ) / 495180

= 945 / 524

= 945

Step2:

LCM(1, 202) = 202

GCD(1, 202) = ( 1 x 202 ) / 202

= 1 / 202

= 1

Step3:

LCM(1, 360) = 360

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

= 1 / 360

= 1

So, Greatest Common Divisor of 945, 524, 202, 360 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 417, 618, 327, 555
• GCD of 671, 549, 257, 205
• GCD of 274, 963, 500, 549
• GCD of 335, 528, 766, 732
• GCD of 237, 812, 944, 311

Given numbers are 945, 524, 202, 360
The greatest common divisor of numbers 945, 524, 202, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 945, 524, 202, 360 is 1.

1. What is the GCD of 945, 524, 202, 360?

GCD of given numbers 945, 524, 202, 360 is 1

2. How to calculate the greatest common divisor of 945, 524, 202, 360?

We can find the highest common divisor of 945, 524, 202, 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 945, 524, 202, 360 i.e 1.

3. How can I use the GCD of 945, 524, 202, 360Calculator?

Out the numbers 945, 524, 202, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.