GCD of 358, 790, 414, 378 Calculator

Given Input numbers are 358, 790, 414, 378

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

Divisors of 358 :

The positive integer divisors of 358 that completely divides 358 are.

1, 2, 179, 358

Divisors of 790 :

The positive integer divisors of 790 that completely divides 790 are.

1, 2, 5, 10, 79, 158, 395, 790

Divisors of 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

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 (358, 790, 414, 378) = 2.

Given numbers are 358, 790, 414, 378

The list of prime factors of all numbers are

Prime factors of 358 are 2 x 179

Prime factors of 790 are 2 x 5 x 79

Prime factors of 414 are 2 x 3 x 3 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 358, 790, 414, 378 is 2.

Given numbers are 358, 790, 414, 378

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

Apply this formula for all numbers.

Step1:

LCM(358, 790) = 141410

GCD(358, 790) = ( 358 x 790 ) / 141410

= 358 / 790

= 358

Step2:

LCM(2, 414) = 414

GCD(2, 414) = ( 2 x 414 ) / 414

= 2 / 414

= 2

Step3:

LCM(2, 378) = 378

GCD(2, 378) = ( 2 x 378 ) / 378

= 2 / 378

= 2

So, Greatest Common Divisor of 358, 790, 414, 378 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 801, 617, 680, 156
• GCD of 564, 157, 414, 285
• GCD of 827, 653, 307, 375
• GCD of 557, 547, 411, 953
• GCD of 634, 328, 938, 653

Given numbers are 358, 790, 414, 378
The greatest common divisor of numbers 358, 790, 414, 378 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 358, 790, 414, 378 is 2.

1. What is the GCD of 358, 790, 414, 378?

GCD of given numbers 358, 790, 414, 378 is 2

2. How to calculate the greatest common divisor of 358, 790, 414, 378?

We can find the highest common divisor of 358, 790, 414, 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 358, 790, 414, 378 i.e 2.

3. How can I use the GCD of 358, 790, 414, 378Calculator?

Out the numbers 358, 790, 414, 378 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.