GCD of 692, 384, 720, 890 Calculator

Given Input numbers are 692, 384, 720, 890

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

Divisors of 692 :

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

1, 2, 4, 173, 346, 692

Divisors of 384 :

The positive integer divisors of 384 that completely divides 384 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 384

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

GCD of numbers is the greatest common divisor

So, the GCD (692, 384, 720, 890) = 2.

Given numbers are 692, 384, 720, 890

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 384 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 3

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 890 are 2 x 5 x 89

The highest common occurrence is 2¹

Therefore, GCD of 692, 384, 720, 890 is 2.

Given numbers are 692, 384, 720, 890

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

Apply this formula for all numbers.

Step1:

LCM(692, 384) = 66432

GCD(692, 384) = ( 692 x 384 ) / 66432

= 692 / 384

= 692

Step2:

LCM(4, 720) = 720

GCD(4, 720) = ( 4 x 720 ) / 720

= 4 / 720

= 4

Step3:

LCM(4, 890) = 1780

GCD(4, 890) = ( 4 x 890 ) / 1780

= 4 / 890

= 4

So, Greatest Common Divisor of 692, 384, 720, 890 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 347, 939, 982, 228
• GCD of 800, 695, 207, 519
• GCD of 594, 200, 733, 787
• GCD of 546, 980, 421, 238
• GCD of 567, 577, 469, 449

Given numbers are 692, 384, 720, 890
The greatest common divisor of numbers 692, 384, 720, 890 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 384, 720, 890 is 2.

1. What is the GCD of 692, 384, 720, 890?

GCD of given numbers 692, 384, 720, 890 is 2

2. How to calculate the greatest common divisor of 692, 384, 720, 890?

We can find the highest common divisor of 692, 384, 720, 890 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 692, 384, 720, 890 i.e 2.

3. How can I use the GCD of 692, 384, 720, 890Calculator?

Out the numbers 692, 384, 720, 890 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.