GCD of 852, 316, 692, 954 Calculator

Given Input numbers are 852, 316, 692, 954

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

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

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

GCD of numbers is the greatest common divisor

So, the GCD (852, 316, 692, 954) = 2.

Given numbers are 852, 316, 692, 954

The list of prime factors of all numbers are

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

Prime factors of 316 are 2 x 2 x 79

Prime factors of 692 are 2 x 2 x 173

Prime factors of 954 are 2 x 3 x 3 x 53

The highest common occurrence is 2¹

Therefore, GCD of 852, 316, 692, 954 is 2.

Given numbers are 852, 316, 692, 954

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

Apply this formula for all numbers.

Step1:

LCM(852, 316) = 67308

GCD(852, 316) = ( 852 x 316 ) / 67308

= 852 / 316

= 852

Step2:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

Step3:

LCM(4, 954) = 1908

GCD(4, 954) = ( 4 x 954 ) / 1908

= 4 / 954

= 4

So, Greatest Common Divisor of 852, 316, 692, 954 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 616, 239, 909, 274
• GCD of 319, 241, 635, 873
• GCD of 694, 292, 553, 749
• GCD of 550, 631, 479, 899
• GCD of 601, 525, 196, 922

Given numbers are 852, 316, 692, 954
The greatest common divisor of numbers 852, 316, 692, 954 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 852, 316, 692, 954 is 2.

1. What is the GCD of 852, 316, 692, 954?

GCD of given numbers 852, 316, 692, 954 is 2

2. How to calculate the greatest common divisor of 852, 316, 692, 954?

We can find the highest common divisor of 852, 316, 692, 954 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 852, 316, 692, 954 i.e 2.

3. How can I use the GCD of 852, 316, 692, 954Calculator?

Out the numbers 852, 316, 692, 954 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.