GCD of 728, 412, 268, 661 Calculator

Given Input numbers are 728, 412, 268, 661

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

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 412 :

The positive integer divisors of 412 that completely divides 412 are.

1, 2, 4, 103, 206, 412

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

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 (728, 412, 268, 661) = 1.

Given numbers are 728, 412, 268, 661

The list of prime factors of all numbers are

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 412 are 2 x 2 x 103

Prime factors of 268 are 2 x 2 x 67

Prime factors of 661 are 661

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

Given numbers are 728, 412, 268, 661

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

Apply this formula for all numbers.

Step1:

LCM(728, 412) = 74984

GCD(728, 412) = ( 728 x 412 ) / 74984

= 728 / 412

= 728

Step2:

LCM(4, 268) = 268

GCD(4, 268) = ( 4 x 268 ) / 268

= 4 / 268

= 4

Step3:

LCM(4, 661) = 2644

GCD(4, 661) = ( 4 x 661 ) / 2644

= 4 / 661

= 4

So, Greatest Common Divisor of 728, 412, 268, 661 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 838, 501, 692
• GCD of 228, 615, 422, 176
• GCD of 568, 305, 913, 868
• GCD of 565, 902, 754, 714
• GCD of 332, 763, 458, 390

Given numbers are 728, 412, 268, 661
The greatest common divisor of numbers 728, 412, 268, 661 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 728, 412, 268, 661 is 1.

1. What is the GCD of 728, 412, 268, 661?

GCD of given numbers 728, 412, 268, 661 is 1

2. How to calculate the greatest common divisor of 728, 412, 268, 661?

We can find the highest common divisor of 728, 412, 268, 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 728, 412, 268, 661 i.e 1.

3. How can I use the GCD of 728, 412, 268, 661Calculator?

Out the numbers 728, 412, 268, 661 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.