GCD of 357, 969, 831, 852 Calculator

Given Input numbers are 357, 969, 831, 852

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

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 831 :

The positive integer divisors of 831 that completely divides 831 are.

1, 3, 277, 831

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

GCD of numbers is the greatest common divisor

So, the GCD (357, 969, 831, 852) = 3.

Given numbers are 357, 969, 831, 852

The list of prime factors of all numbers are

Prime factors of 357 are 3 x 7 x 17

Prime factors of 969 are 3 x 17 x 19

Prime factors of 831 are 3 x 277

Prime factors of 852 are 2 x 2 x 3 x 71

The highest common occurrence is 3¹

Therefore, GCD of 357, 969, 831, 852 is 3.

Given numbers are 357, 969, 831, 852

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

Apply this formula for all numbers.

Step1:

LCM(357, 969) = 6783

GCD(357, 969) = ( 357 x 969 ) / 6783

= 357 / 969

= 357

Step2:

LCM(51, 831) = 14127

GCD(51, 831) = ( 51 x 831 ) / 14127

= 51 / 831

= 51

Step3:

LCM(3, 852) = 852

GCD(3, 852) = ( 3 x 852 ) / 852

= 3 / 852

= 3

So, Greatest Common Divisor of 357, 969, 831, 852 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 873, 504, 349
• GCD of 248, 813, 570, 470
• GCD of 111, 315, 847, 308
• GCD of 140, 355, 634, 120
• GCD of 351, 860, 492, 676

Given numbers are 357, 969, 831, 852
The greatest common divisor of numbers 357, 969, 831, 852 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 969, 831, 852 is 3.

1. What is the GCD of 357, 969, 831, 852?

GCD of given numbers 357, 969, 831, 852 is 3

2. How to calculate the greatest common divisor of 357, 969, 831, 852?

We can find the highest common divisor of 357, 969, 831, 852 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 357, 969, 831, 852 i.e 3.

3. How can I use the GCD of 357, 969, 831, 852Calculator?

Out the numbers 357, 969, 831, 852 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.