GCD of 354, 537, 15, 375 Calculator

Given Input numbers are 354, 537, 15, 375

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

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 537 :

The positive integer divisors of 537 that completely divides 537 are.

1, 3, 179, 537

Divisors of 15 :

The positive integer divisors of 15 that completely divides 15 are.

1, 3, 5, 15

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

GCD of numbers is the greatest common divisor

So, the GCD (354, 537, 15, 375) = 3.

Given numbers are 354, 537, 15, 375

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 537 are 3 x 179

Prime factors of 15 are 3 x 5

Prime factors of 375 are 3 x 5 x 5 x 5

The highest common occurrence is 3¹

Therefore, GCD of 354, 537, 15, 375 is 3.

Given numbers are 354, 537, 15, 375

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

Apply this formula for all numbers.

Step1:

LCM(354, 537) = 63366

GCD(354, 537) = ( 354 x 537 ) / 63366

= 354 / 537

= 354

Step2:

LCM(3, 15) = 15

GCD(3, 15) = ( 3 x 15 ) / 15

= 3 / 15

= 3

Step3:

LCM(3, 375) = 375

GCD(3, 375) = ( 3 x 375 ) / 375

= 3 / 375

= 3

So, Greatest Common Divisor of 354, 537, 15, 375 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 588, 330, 99, 923
• GCD of 766, 573, 88, 935
• GCD of 977, 890, 70, 527
• GCD of 586, 860, 21, 108
• GCD of 154, 372, 24, 189

Given numbers are 354, 537, 15, 375
The greatest common divisor of numbers 354, 537, 15, 375 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 537, 15, 375 is 3.

1. What is the GCD of 354, 537, 15, 375?

GCD of given numbers 354, 537, 15, 375 is 3

2. How to calculate the greatest common divisor of 354, 537, 15, 375?

We can find the highest common divisor of 354, 537, 15, 375 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 354, 537, 15, 375 i.e 3.

3. How can I use the GCD of 354, 537, 15, 375Calculator?

Out the numbers 354, 537, 15, 375 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.