GCD of 360, 147, 175, 257 Calculator

Given Input numbers are 360, 147, 175, 257

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 257 :

The positive integer divisors of 257 that completely divides 257 are.

1, 257

GCD of numbers is the greatest common divisor

So, the GCD (360, 147, 175, 257) = 1.

Given numbers are 360, 147, 175, 257

The list of prime factors of all numbers are

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 147 are 3 x 7 x 7

Prime factors of 175 are 5 x 5 x 7

Prime factors of 257 are 257

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

Given numbers are 360, 147, 175, 257

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

Apply this formula for all numbers.

Step1:

LCM(360, 147) = 17640

GCD(360, 147) = ( 360 x 147 ) / 17640

= 360 / 147

= 360

Step2:

LCM(3, 175) = 525

GCD(3, 175) = ( 3 x 175 ) / 525

= 3 / 175

= 3

Step3:

LCM(1, 257) = 257

GCD(1, 257) = ( 1 x 257 ) / 257

= 1 / 257

= 1

So, Greatest Common Divisor of 360, 147, 175, 257 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 557, 265, 113, 591
• GCD of 509, 449, 467, 530
• GCD of 288, 259, 472, 928
• GCD of 567, 886, 373, 745
• GCD of 827, 589, 881, 686

Given numbers are 360, 147, 175, 257
The greatest common divisor of numbers 360, 147, 175, 257 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 147, 175, 257 is 1.

1. What is the GCD of 360, 147, 175, 257?

GCD of given numbers 360, 147, 175, 257 is 1

2. How to calculate the greatest common divisor of 360, 147, 175, 257?

We can find the highest common divisor of 360, 147, 175, 257 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 360, 147, 175, 257 i.e 1.

3. How can I use the GCD of 360, 147, 175, 257Calculator?

Out the numbers 360, 147, 175, 257 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.