GCD of 345, 525, 137, 223 Calculator

Given Input numbers are 345, 525, 137, 223

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

Divisors of 223 :

The positive integer divisors of 223 that completely divides 223 are.

1, 223

GCD of numbers is the greatest common divisor

So, the GCD (345, 525, 137, 223) = 1.

Given numbers are 345, 525, 137, 223

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 137 are 137

Prime factors of 223 are 223

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

Given numbers are 345, 525, 137, 223

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

Apply this formula for all numbers.

Step1:

LCM(345, 525) = 12075

GCD(345, 525) = ( 345 x 525 ) / 12075

= 345 / 525

= 345

Step2:

LCM(15, 137) = 2055

GCD(15, 137) = ( 15 x 137 ) / 2055

= 15 / 137

= 15

Step3:

LCM(1, 223) = 223

GCD(1, 223) = ( 1 x 223 ) / 223

= 1 / 223

= 1

So, Greatest Common Divisor of 345, 525, 137, 223 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 155, 235, 802, 529
• GCD of 384, 448, 414, 512
• GCD of 989, 931, 131, 880
• GCD of 264, 864, 862, 422
• GCD of 464, 559, 305, 357

Given numbers are 345, 525, 137, 223
The greatest common divisor of numbers 345, 525, 137, 223 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 525, 137, 223 is 1.

1. What is the GCD of 345, 525, 137, 223?

GCD of given numbers 345, 525, 137, 223 is 1

2. How to calculate the greatest common divisor of 345, 525, 137, 223?

We can find the highest common divisor of 345, 525, 137, 223 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 345, 525, 137, 223 i.e 1.

3. How can I use the GCD of 345, 525, 137, 223Calculator?

Out the numbers 345, 525, 137, 223 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.