GCD of 456, 945, 420, 525 Calculator

Given Input numbers are 456, 945, 420, 525

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

Divisors of 456 :

The positive integer divisors of 456 that completely divides 456 are.

1, 2, 3, 4, 6, 8, 12, 19, 24, 38, 57, 76, 114, 152, 228, 456

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 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

GCD of numbers is the greatest common divisor

So, the GCD (456, 945, 420, 525) = 3.

Given numbers are 456, 945, 420, 525

The list of prime factors of all numbers are

Prime factors of 456 are 2 x 2 x 2 x 3 x 19

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

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 525 are 3 x 5 x 5 x 7

The highest common occurrence is 3¹

Therefore, GCD of 456, 945, 420, 525 is 3.

Given numbers are 456, 945, 420, 525

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

Apply this formula for all numbers.

Step1:

LCM(456, 945) = 143640

GCD(456, 945) = ( 456 x 945 ) / 143640

= 456 / 945

= 456

Step2:

LCM(3, 420) = 420

GCD(3, 420) = ( 3 x 420 ) / 420

= 3 / 420

= 3

Step3:

LCM(3, 525) = 525

GCD(3, 525) = ( 3 x 525 ) / 525

= 3 / 525

= 3

So, Greatest Common Divisor of 456, 945, 420, 525 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 225, 704, 394, 200
• GCD of 681, 328, 723, 456
• GCD of 435, 347, 980, 891
• GCD of 673, 342, 271, 900
• GCD of 846, 863, 671, 572

Given numbers are 456, 945, 420, 525
The greatest common divisor of numbers 456, 945, 420, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 456, 945, 420, 525 is 3.

1. What is the GCD of 456, 945, 420, 525?

GCD of given numbers 456, 945, 420, 525 is 3

2. How to calculate the greatest common divisor of 456, 945, 420, 525?

We can find the highest common divisor of 456, 945, 420, 525 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 456, 945, 420, 525 i.e 3.

3. How can I use the GCD of 456, 945, 420, 525Calculator?

Out the numbers 456, 945, 420, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.