GCD of 692, 220, 440, 678 Calculator

Given Input numbers are 692, 220, 440, 678

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 220 :

The positive integer divisors of 220 that completely divides 220 are.

1, 2, 4, 5, 10, 11, 20, 22, 44, 55, 110, 220

Divisors of 440 :

The positive integer divisors of 440 that completely divides 440 are.

1, 2, 4, 5, 8, 10, 11, 20, 22, 40, 44, 55, 88, 110, 220, 440

Divisors of 678 :

The positive integer divisors of 678 that completely divides 678 are.

1, 2, 3, 6, 113, 226, 339, 678

GCD of numbers is the greatest common divisor

So, the GCD (692, 220, 440, 678) = 2.

Given numbers are 692, 220, 440, 678

The list of prime factors of all numbers are

Prime factors of 692 are 2 x 2 x 173

Prime factors of 220 are 2 x 2 x 5 x 11

Prime factors of 440 are 2 x 2 x 2 x 5 x 11

Prime factors of 678 are 2 x 3 x 113

The highest common occurrence is 2¹

Therefore, GCD of 692, 220, 440, 678 is 2.

Given numbers are 692, 220, 440, 678

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

Apply this formula for all numbers.

Step1:

LCM(692, 220) = 38060

GCD(692, 220) = ( 692 x 220 ) / 38060

= 692 / 220

= 692

Step2:

LCM(4, 440) = 440

GCD(4, 440) = ( 4 x 440 ) / 440

= 4 / 440

= 4

Step3:

LCM(4, 678) = 1356

GCD(4, 678) = ( 4 x 678 ) / 1356

= 4 / 678

= 4

So, Greatest Common Divisor of 692, 220, 440, 678 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 901, 644, 382, 449
• GCD of 762, 392, 516, 204
• GCD of 788, 703, 159, 358
• GCD of 958, 566, 780, 854
• GCD of 616, 841, 933, 835

Given numbers are 692, 220, 440, 678
The greatest common divisor of numbers 692, 220, 440, 678 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 220, 440, 678 is 2.

1. What is the GCD of 692, 220, 440, 678?

GCD of given numbers 692, 220, 440, 678 is 2

2. How to calculate the greatest common divisor of 692, 220, 440, 678?

We can find the highest common divisor of 692, 220, 440, 678 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, 220, 440, 678 i.e 2.

3. How can I use the GCD of 692, 220, 440, 678Calculator?

Out the numbers 692, 220, 440, 678 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.