GCD of 494, 724, 225, 661 Calculator

Given Input numbers are 494, 724, 225, 661

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

Divisors of 494 :

The positive integer divisors of 494 that completely divides 494 are.

1, 2, 13, 19, 26, 38, 247, 494

Divisors of 724 :

The positive integer divisors of 724 that completely divides 724 are.

1, 2, 4, 181, 362, 724

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 661 :

The positive integer divisors of 661 that completely divides 661 are.

1, 661

GCD of numbers is the greatest common divisor

So, the GCD (494, 724, 225, 661) = 1.

Given numbers are 494, 724, 225, 661

The list of prime factors of all numbers are

Prime factors of 494 are 2 x 13 x 19

Prime factors of 724 are 2 x 2 x 181

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

Prime factors of 661 are 661

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

Given numbers are 494, 724, 225, 661

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

Apply this formula for all numbers.

Step1:

LCM(494, 724) = 178828

GCD(494, 724) = ( 494 x 724 ) / 178828

= 494 / 724

= 494

Step2:

LCM(2, 225) = 450

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

= 2 / 225

= 2

Step3:

LCM(1, 661) = 661

GCD(1, 661) = ( 1 x 661 ) / 661

= 1 / 661

= 1

So, Greatest Common Divisor of 494, 724, 225, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 973, 356, 197, 133
• GCD of 472, 385, 820, 256
• GCD of 459, 196, 769, 661
• GCD of 435, 640, 270, 728
• GCD of 997, 989, 620, 831

Given numbers are 494, 724, 225, 661
The greatest common divisor of numbers 494, 724, 225, 661 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 494, 724, 225, 661 is 1.

1. What is the GCD of 494, 724, 225, 661?

GCD of given numbers 494, 724, 225, 661 is 1

2. How to calculate the greatest common divisor of 494, 724, 225, 661?

We can find the highest common divisor of 494, 724, 225, 661 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 494, 724, 225, 661 i.e 1.

3. How can I use the GCD of 494, 724, 225, 661Calculator?

Out the numbers 494, 724, 225, 661 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.