GCD of 438, 610, 689, 378 Calculator

Given Input numbers are 438, 610, 689, 378

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

Divisors of 438 :

The positive integer divisors of 438 that completely divides 438 are.

1, 2, 3, 6, 73, 146, 219, 438

Divisors of 610 :

The positive integer divisors of 610 that completely divides 610 are.

1, 2, 5, 10, 61, 122, 305, 610

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

GCD of numbers is the greatest common divisor

So, the GCD (438, 610, 689, 378) = 1.

Given numbers are 438, 610, 689, 378

The list of prime factors of all numbers are

Prime factors of 438 are 2 x 3 x 73

Prime factors of 610 are 2 x 5 x 61

Prime factors of 689 are 13 x 53

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 438, 610, 689, 378

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

Apply this formula for all numbers.

Step1:

LCM(438, 610) = 133590

GCD(438, 610) = ( 438 x 610 ) / 133590

= 438 / 610

= 438

Step2:

LCM(2, 689) = 1378

GCD(2, 689) = ( 2 x 689 ) / 1378

= 2 / 689

= 2

Step3:

LCM(1, 378) = 378

GCD(1, 378) = ( 1 x 378 ) / 378

= 1 / 378

= 1

So, Greatest Common Divisor of 438, 610, 689, 378 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 270, 626, 178, 119
• GCD of 918, 460, 387, 129
• GCD of 580, 873, 591, 820
• GCD of 780, 863, 562, 138
• GCD of 147, 464, 589, 440

Given numbers are 438, 610, 689, 378
The greatest common divisor of numbers 438, 610, 689, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 438, 610, 689, 378 is 1.

1. What is the GCD of 438, 610, 689, 378?

GCD of given numbers 438, 610, 689, 378 is 1

2. How to calculate the greatest common divisor of 438, 610, 689, 378?

We can find the highest common divisor of 438, 610, 689, 378 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 438, 610, 689, 378 i.e 1.

3. How can I use the GCD of 438, 610, 689, 378Calculator?

Out the numbers 438, 610, 689, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.