GCD of 715, 924, 528, 825 Calculator

Given Input numbers are 715, 924, 528, 825

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

Divisors of 715 :

The positive integer divisors of 715 that completely divides 715 are.

1, 5, 11, 13, 55, 65, 143, 715

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

Divisors of 528 :

The positive integer divisors of 528 that completely divides 528 are.

1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 33, 44, 48, 66, 88, 132, 176, 264, 528

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

GCD of numbers is the greatest common divisor

So, the GCD (715, 924, 528, 825) = 11.

Given numbers are 715, 924, 528, 825

The list of prime factors of all numbers are

Prime factors of 715 are 5 x 11 x 13

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

Prime factors of 528 are 2 x 2 x 2 x 2 x 3 x 11

Prime factors of 825 are 3 x 5 x 5 x 11

The highest common occurrence is 11¹

Therefore, GCD of 715, 924, 528, 825 is 11.

Given numbers are 715, 924, 528, 825

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

Apply this formula for all numbers.

Step1:

LCM(715, 924) = 60060

GCD(715, 924) = ( 715 x 924 ) / 60060

= 715 / 924

= 715

Step2:

LCM(11, 528) = 528

GCD(11, 528) = ( 11 x 528 ) / 528

= 11 / 528

= 11

Step3:

LCM(11, 825) = 825

GCD(11, 825) = ( 11 x 825 ) / 825

= 11 / 825

= 11

So, Greatest Common Divisor of 715, 924, 528, 825 is 11

Here are some samples of GCD of Numbers calculations.

• GCD of 112, 834, 292, 672
• GCD of 313, 910, 475, 895
• GCD of 146, 919, 760, 392
• GCD of 536, 806, 781, 107
• GCD of 574, 104, 865, 153

Given numbers are 715, 924, 528, 825
The greatest common divisor of numbers 715, 924, 528, 825 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 715, 924, 528, 825 is 11.

1. What is the GCD of 715, 924, 528, 825?

GCD of given numbers 715, 924, 528, 825 is 11

2. How to calculate the greatest common divisor of 715, 924, 528, 825?

We can find the highest common divisor of 715, 924, 528, 825 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 715, 924, 528, 825 i.e 11.

3. How can I use the GCD of 715, 924, 528, 825Calculator?

Out the numbers 715, 924, 528, 825 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.