GCD of 364, 274, 430, 372 Calculator

Given Input numbers are 364, 274, 430, 372

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

Divisors of 364 :

The positive integer divisors of 364 that completely divides 364 are.

1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364

Divisors of 274 :

The positive integer divisors of 274 that completely divides 274 are.

1, 2, 137, 274

Divisors of 430 :

The positive integer divisors of 430 that completely divides 430 are.

1, 2, 5, 10, 43, 86, 215, 430

Divisors of 372 :

The positive integer divisors of 372 that completely divides 372 are.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 372

GCD of numbers is the greatest common divisor

So, the GCD (364, 274, 430, 372) = 2.

Given numbers are 364, 274, 430, 372

The list of prime factors of all numbers are

Prime factors of 364 are 2 x 2 x 7 x 13

Prime factors of 274 are 2 x 137

Prime factors of 430 are 2 x 5 x 43

Prime factors of 372 are 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 364, 274, 430, 372 is 2.

Given numbers are 364, 274, 430, 372

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

Apply this formula for all numbers.

Step1:

LCM(364, 274) = 49868

GCD(364, 274) = ( 364 x 274 ) / 49868

= 364 / 274

= 364

Step2:

LCM(2, 430) = 430

GCD(2, 430) = ( 2 x 430 ) / 430

= 2 / 430

= 2

Step3:

LCM(2, 372) = 372

GCD(2, 372) = ( 2 x 372 ) / 372

= 2 / 372

= 2

So, Greatest Common Divisor of 364, 274, 430, 372 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 565, 660, 100
• GCD of 138, 765, 894, 971
• GCD of 520, 693, 739, 527
• GCD of 132, 345, 142, 190
• GCD of 446, 263, 697, 379

Given numbers are 364, 274, 430, 372
The greatest common divisor of numbers 364, 274, 430, 372 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 274, 430, 372 is 2.

1. What is the GCD of 364, 274, 430, 372?

GCD of given numbers 364, 274, 430, 372 is 2

2. How to calculate the greatest common divisor of 364, 274, 430, 372?

We can find the highest common divisor of 364, 274, 430, 372 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 364, 274, 430, 372 i.e 2.

3. How can I use the GCD of 364, 274, 430, 372Calculator?

Out the numbers 364, 274, 430, 372 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.