GCD of 354, 971, 578, 225 Calculator

Given Input numbers are 354, 971, 578, 225

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 971 :

The positive integer divisors of 971 that completely divides 971 are.

1, 971

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

GCD of numbers is the greatest common divisor

So, the GCD (354, 971, 578, 225) = 1.

Given numbers are 354, 971, 578, 225

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 971 are 971

Prime factors of 578 are 2 x 17 x 17

Prime factors of 225 are 3 x 3 x 5 x 5

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

Given numbers are 354, 971, 578, 225

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

Apply this formula for all numbers.

Step1:

LCM(354, 971) = 343734

GCD(354, 971) = ( 354 x 971 ) / 343734

= 354 / 971

= 354

Step2:

LCM(1, 578) = 578

GCD(1, 578) = ( 1 x 578 ) / 578

= 1 / 578

= 1

Step3:

LCM(1, 225) = 225

GCD(1, 225) = ( 1 x 225 ) / 225

= 1 / 225

= 1

So, Greatest Common Divisor of 354, 971, 578, 225 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 983, 196, 169, 863
• GCD of 825, 115, 268, 286
• GCD of 418, 965, 949, 372
• GCD of 499, 806, 278, 860
• GCD of 815, 138, 505, 256

Given numbers are 354, 971, 578, 225
The greatest common divisor of numbers 354, 971, 578, 225 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 971, 578, 225 is 1.

1. What is the GCD of 354, 971, 578, 225?

GCD of given numbers 354, 971, 578, 225 is 1

2. How to calculate the greatest common divisor of 354, 971, 578, 225?

We can find the highest common divisor of 354, 971, 578, 225 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, 971, 578, 225 i.e 1.

3. How can I use the GCD of 354, 971, 578, 225Calculator?

Out the numbers 354, 971, 578, 225 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.