GCD of 378, 438, 916, 574 Calculator

Given Input numbers are 378, 438, 916, 574

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

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

Divisors of 438 :

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

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (378, 438, 916, 574) = 2.

Given numbers are 378, 438, 916, 574

The list of prime factors of all numbers are

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

Prime factors of 438 are 2 x 3 x 73

Prime factors of 916 are 2 x 2 x 229

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 378, 438, 916, 574 is 2.

Given numbers are 378, 438, 916, 574

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

Apply this formula for all numbers.

Step1:

LCM(378, 438) = 27594

GCD(378, 438) = ( 378 x 438 ) / 27594

= 378 / 438

= 378

Step2:

LCM(6, 916) = 2748

GCD(6, 916) = ( 6 x 916 ) / 2748

= 6 / 916

= 6

Step3:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

So, Greatest Common Divisor of 378, 438, 916, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 190, 705, 397, 487
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• GCD of 595, 531, 305, 844
• GCD of 634, 572, 838, 160
• GCD of 603, 358, 182, 119

Given numbers are 378, 438, 916, 574
The greatest common divisor of numbers 378, 438, 916, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 378, 438, 916, 574 is 2.

1. What is the GCD of 378, 438, 916, 574?

GCD of given numbers 378, 438, 916, 574 is 2

2. How to calculate the greatest common divisor of 378, 438, 916, 574?

We can find the highest common divisor of 378, 438, 916, 574 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 378, 438, 916, 574 i.e 2.

3. How can I use the GCD of 378, 438, 916, 574Calculator?

Out the numbers 378, 438, 916, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.