GCD of 525, 891, 345, 462 Calculator

Given Input numbers are 525, 891, 345, 462

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

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

Divisors of 891 :

The positive integer divisors of 891 that completely divides 891 are.

1, 3, 9, 11, 27, 33, 81, 99, 297, 891

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

GCD of numbers is the greatest common divisor

So, the GCD (525, 891, 345, 462) = 3.

Given numbers are 525, 891, 345, 462

The list of prime factors of all numbers are

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

Prime factors of 891 are 3 x 3 x 3 x 3 x 11

Prime factors of 345 are 3 x 5 x 23

Prime factors of 462 are 2 x 3 x 7 x 11

The highest common occurrence is 3¹

Therefore, GCD of 525, 891, 345, 462 is 3.

Given numbers are 525, 891, 345, 462

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

Apply this formula for all numbers.

Step1:

LCM(525, 891) = 155925

GCD(525, 891) = ( 525 x 891 ) / 155925

= 525 / 891

= 525

Step2:

LCM(3, 345) = 345

GCD(3, 345) = ( 3 x 345 ) / 345

= 3 / 345

= 3

Step3:

LCM(3, 462) = 462

GCD(3, 462) = ( 3 x 462 ) / 462

= 3 / 462

= 3

So, Greatest Common Divisor of 525, 891, 345, 462 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 634, 229, 772, 423
• GCD of 471, 560, 589, 667
• GCD of 558, 161, 318, 818
• GCD of 734, 650, 287, 158
• GCD of 184, 521, 564, 179

Given numbers are 525, 891, 345, 462
The greatest common divisor of numbers 525, 891, 345, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 891, 345, 462 is 3.

1. What is the GCD of 525, 891, 345, 462?

GCD of given numbers 525, 891, 345, 462 is 3

2. How to calculate the greatest common divisor of 525, 891, 345, 462?

We can find the highest common divisor of 525, 891, 345, 462 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 525, 891, 345, 462 i.e 3.

3. How can I use the GCD of 525, 891, 345, 462Calculator?

Out the numbers 525, 891, 345, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.