GCD of 825, 705, 260, 156 Calculator

Given Input numbers are 825, 705, 260, 156

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

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

Divisors of 705 :

The positive integer divisors of 705 that completely divides 705 are.

1, 3, 5, 15, 47, 141, 235, 705

Divisors of 260 :

The positive integer divisors of 260 that completely divides 260 are.

1, 2, 4, 5, 10, 13, 20, 26, 52, 65, 130, 260

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

GCD of numbers is the greatest common divisor

So, the GCD (825, 705, 260, 156) = 1.

Given numbers are 825, 705, 260, 156

The list of prime factors of all numbers are

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

Prime factors of 705 are 3 x 5 x 47

Prime factors of 260 are 2 x 2 x 5 x 13

Prime factors of 156 are 2 x 2 x 3 x 13

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 825, 705, 260, 156

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

Apply this formula for all numbers.

Step1:

LCM(825, 705) = 38775

GCD(825, 705) = ( 825 x 705 ) / 38775

= 825 / 705

= 825

Step2:

LCM(15, 260) = 780

GCD(15, 260) = ( 15 x 260 ) / 780

= 15 / 260

= 15

Step3:

LCM(5, 156) = 780

GCD(5, 156) = ( 5 x 156 ) / 780

= 5 / 156

= 5

So, Greatest Common Divisor of 825, 705, 260, 156 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 355, 434, 803, 211
• GCD of 389, 481, 802, 912
• GCD of 542, 988, 825, 112
• GCD of 908, 614, 557, 304
• GCD of 739, 327, 117, 920

Given numbers are 825, 705, 260, 156
The greatest common divisor of numbers 825, 705, 260, 156 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 705, 260, 156 is 1.

1. What is the GCD of 825, 705, 260, 156?

GCD of given numbers 825, 705, 260, 156 is 1

2. How to calculate the greatest common divisor of 825, 705, 260, 156?

We can find the highest common divisor of 825, 705, 260, 156 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 825, 705, 260, 156 i.e 1.

3. How can I use the GCD of 825, 705, 260, 156Calculator?

Out the numbers 825, 705, 260, 156 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.