GCD of 825, 957, 976, 402 Calculator

Given Input numbers are 825, 957, 976, 402

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 957 :

The positive integer divisors of 957 that completely divides 957 are.

1, 3, 11, 29, 33, 87, 319, 957

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

GCD of numbers is the greatest common divisor

So, the GCD (825, 957, 976, 402) = 1.

Given numbers are 825, 957, 976, 402

The list of prime factors of all numbers are

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

Prime factors of 957 are 3 x 11 x 29

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 402 are 2 x 3 x 67

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

Given numbers are 825, 957, 976, 402

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

Apply this formula for all numbers.

Step1:

LCM(825, 957) = 23925

GCD(825, 957) = ( 825 x 957 ) / 23925

= 825 / 957

= 825

Step2:

LCM(33, 976) = 32208

GCD(33, 976) = ( 33 x 976 ) / 32208

= 33 / 976

= 33

Step3:

LCM(1, 402) = 402

GCD(1, 402) = ( 1 x 402 ) / 402

= 1 / 402

= 1

So, Greatest Common Divisor of 825, 957, 976, 402 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 352, 761, 196, 226
• GCD of 833, 836, 142, 996
• GCD of 785, 337, 775, 777
• GCD of 880, 327, 854, 595
• GCD of 825, 845, 674, 149

Given numbers are 825, 957, 976, 402
The greatest common divisor of numbers 825, 957, 976, 402 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 957, 976, 402 is 1.

1. What is the GCD of 825, 957, 976, 402?

GCD of given numbers 825, 957, 976, 402 is 1

2. How to calculate the greatest common divisor of 825, 957, 976, 402?

We can find the highest common divisor of 825, 957, 976, 402 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, 957, 976, 402 i.e 1.

3. How can I use the GCD of 825, 957, 976, 402Calculator?

Out the numbers 825, 957, 976, 402 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.