GCD of 496, 354, 225, 721 Calculator

Given Input numbers are 496, 354, 225, 721

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

Divisors of 496 :

The positive integer divisors of 496 that completely divides 496 are.

1, 2, 4, 8, 16, 31, 62, 124, 248, 496

Divisors of 354 :

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

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

Divisors of 225 :

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

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

Divisors of 721 :

The positive integer divisors of 721 that completely divides 721 are.

1, 7, 103, 721

GCD of numbers is the greatest common divisor

So, the GCD (496, 354, 225, 721) = 1.

Given numbers are 496, 354, 225, 721

The list of prime factors of all numbers are

Prime factors of 496 are 2 x 2 x 2 x 2 x 31

Prime factors of 354 are 2 x 3 x 59

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

Prime factors of 721 are 7 x 103

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

Given numbers are 496, 354, 225, 721

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

Apply this formula for all numbers.

Step1:

LCM(496, 354) = 87792

GCD(496, 354) = ( 496 x 354 ) / 87792

= 496 / 354

= 496

Step2:

LCM(2, 225) = 450

GCD(2, 225) = ( 2 x 225 ) / 450

= 2 / 225

= 2

Step3:

LCM(1, 721) = 721

GCD(1, 721) = ( 1 x 721 ) / 721

= 1 / 721

= 1

So, Greatest Common Divisor of 496, 354, 225, 721 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 971, 884, 673, 360
• GCD of 312, 496, 556, 423
• GCD of 564, 488, 327, 533
• GCD of 621, 291, 793, 731
• GCD of 479, 992, 892, 325

Given numbers are 496, 354, 225, 721
The greatest common divisor of numbers 496, 354, 225, 721 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 496, 354, 225, 721 is 1.

1. What is the GCD of 496, 354, 225, 721?

GCD of given numbers 496, 354, 225, 721 is 1

2. How to calculate the greatest common divisor of 496, 354, 225, 721?

We can find the highest common divisor of 496, 354, 225, 721 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 496, 354, 225, 721 i.e 1.

3. How can I use the GCD of 496, 354, 225, 721Calculator?

Out the numbers 496, 354, 225, 721 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.