GCD of 678, 390, 252, 762 Calculator

Given Input numbers are 678, 390, 252, 762

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

Divisors of 678 :

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

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

Divisors of 390 :

The positive integer divisors of 390 that completely divides 390 are.

1, 2, 3, 5, 6, 10, 13, 15, 26, 30, 39, 65, 78, 130, 195, 390

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

GCD of numbers is the greatest common divisor

So, the GCD (678, 390, 252, 762) = 6.

Given numbers are 678, 390, 252, 762

The list of prime factors of all numbers are

Prime factors of 678 are 2 x 3 x 113

Prime factors of 390 are 2 x 3 x 5 x 13

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 762 are 2 x 3 x 127

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 678, 390, 252, 762 is 6.

Given numbers are 678, 390, 252, 762

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

Apply this formula for all numbers.

Step1:

LCM(678, 390) = 44070

GCD(678, 390) = ( 678 x 390 ) / 44070

= 678 / 390

= 678

Step2:

LCM(6, 252) = 252

GCD(6, 252) = ( 6 x 252 ) / 252

= 6 / 252

= 6

Step3:

LCM(6, 762) = 762

GCD(6, 762) = ( 6 x 762 ) / 762

= 6 / 762

= 6

So, Greatest Common Divisor of 678, 390, 252, 762 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 498, 235, 125, 855
• GCD of 222, 140, 493, 686
• GCD of 236, 734, 360, 298
• GCD of 767, 969, 745, 783
• GCD of 767, 848, 812, 101

Given numbers are 678, 390, 252, 762
The greatest common divisor of numbers 678, 390, 252, 762 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 678, 390, 252, 762 is 6.

1. What is the GCD of 678, 390, 252, 762?

GCD of given numbers 678, 390, 252, 762 is 6

2. How to calculate the greatest common divisor of 678, 390, 252, 762?

We can find the highest common divisor of 678, 390, 252, 762 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 678, 390, 252, 762 i.e 6.

3. How can I use the GCD of 678, 390, 252, 762Calculator?

Out the numbers 678, 390, 252, 762 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.