GCD of 525, 315, 56, 532 Calculator

Given Input numbers are 525, 315, 56, 532

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 315 :

The positive integer divisors of 315 that completely divides 315 are.

1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315

Divisors of 56 :

The positive integer divisors of 56 that completely divides 56 are.

1, 2, 4, 7, 8, 14, 28, 56

Divisors of 532 :

The positive integer divisors of 532 that completely divides 532 are.

1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532

GCD of numbers is the greatest common divisor

So, the GCD (525, 315, 56, 532) = 7.

Given numbers are 525, 315, 56, 532

The list of prime factors of all numbers are

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

Prime factors of 315 are 3 x 3 x 5 x 7

Prime factors of 56 are 2 x 2 x 2 x 7

Prime factors of 532 are 2 x 2 x 7 x 19

The highest common occurrence is 7¹

Therefore, GCD of 525, 315, 56, 532 is 7.

Given numbers are 525, 315, 56, 532

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

Apply this formula for all numbers.

Step1:

LCM(525, 315) = 1575

GCD(525, 315) = ( 525 x 315 ) / 1575

= 525 / 315

= 525

Step2:

LCM(105, 56) = 840

GCD(105, 56) = ( 105 x 56 ) / 840

= 105 / 56

= 105

Step3:

LCM(7, 532) = 532

GCD(7, 532) = ( 7 x 532 ) / 532

= 7 / 532

= 7

So, Greatest Common Divisor of 525, 315, 56, 532 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 311, 942, 68, 179
• GCD of 610, 672, 14, 903
• GCD of 363, 537, 94, 857
• GCD of 731, 103, 82, 284
• GCD of 647, 560, 56, 334

Given numbers are 525, 315, 56, 532
The greatest common divisor of numbers 525, 315, 56, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 315, 56, 532 is 7.

1. What is the GCD of 525, 315, 56, 532?

GCD of given numbers 525, 315, 56, 532 is 7

2. How to calculate the greatest common divisor of 525, 315, 56, 532?

We can find the highest common divisor of 525, 315, 56, 532 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, 315, 56, 532 i.e 7.

3. How can I use the GCD of 525, 315, 56, 532Calculator?

Out the numbers 525, 315, 56, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.