GCD of 984, 528, 690, 364 Calculator

Given Input numbers are 984, 528, 690, 364

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

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

GCD of numbers is the greatest common divisor

So, the GCD (984, 528, 690, 364) = 2.

Given numbers are 984, 528, 690, 364

The list of prime factors of all numbers are

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 364 are 2 x 2 x 7 x 13

The highest common occurrence is 2¹

Therefore, GCD of 984, 528, 690, 364 is 2.

Given numbers are 984, 528, 690, 364

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

Apply this formula for all numbers.

Step1:

LCM(984, 528) = 21648

GCD(984, 528) = ( 984 x 528 ) / 21648

= 984 / 528

= 984

Step2:

LCM(24, 690) = 2760

GCD(24, 690) = ( 24 x 690 ) / 2760

= 24 / 690

= 24

Step3:

LCM(6, 364) = 1092

GCD(6, 364) = ( 6 x 364 ) / 1092

= 6 / 364

= 6

So, Greatest Common Divisor of 984, 528, 690, 364 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 349, 991, 408
• GCD of 886, 296, 685, 583
• GCD of 184, 536, 826, 563
• GCD of 151, 416, 759, 831
• GCD of 806, 188, 754, 211

Given numbers are 984, 528, 690, 364
The greatest common divisor of numbers 984, 528, 690, 364 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 984, 528, 690, 364 is 2.

1. What is the GCD of 984, 528, 690, 364?

GCD of given numbers 984, 528, 690, 364 is 2

2. How to calculate the greatest common divisor of 984, 528, 690, 364?

We can find the highest common divisor of 984, 528, 690, 364 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 984, 528, 690, 364 i.e 2.

3. How can I use the GCD of 984, 528, 690, 364Calculator?

Out the numbers 984, 528, 690, 364 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.