GCD of 726, 147, 288, 964 Calculator

Given Input numbers are 726, 147, 288, 964

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

Divisors of 726 :

The positive integer divisors of 726 that completely divides 726 are.

1, 2, 3, 6, 11, 22, 33, 66, 121, 242, 363, 726

Divisors of 147 :

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

1, 3, 7, 21, 49, 147

Divisors of 288 :

The positive integer divisors of 288 that completely divides 288 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 32, 36, 48, 72, 96, 144, 288

Divisors of 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (726, 147, 288, 964) = 1.

Given numbers are 726, 147, 288, 964

The list of prime factors of all numbers are

Prime factors of 726 are 2 x 3 x 11 x 11

Prime factors of 147 are 3 x 7 x 7

Prime factors of 288 are 2 x 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 964 are 2 x 2 x 241

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

Given numbers are 726, 147, 288, 964

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

Apply this formula for all numbers.

Step1:

LCM(726, 147) = 35574

GCD(726, 147) = ( 726 x 147 ) / 35574

= 726 / 147

= 726

Step2:

LCM(3, 288) = 288

GCD(3, 288) = ( 3 x 288 ) / 288

= 3 / 288

= 3

Step3:

LCM(3, 964) = 2892

GCD(3, 964) = ( 3 x 964 ) / 2892

= 3 / 964

= 3

So, Greatest Common Divisor of 726, 147, 288, 964 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 758, 936, 542, 221
• GCD of 936, 994, 311, 140
• GCD of 490, 309, 439, 991
• GCD of 610, 496, 280, 664
• GCD of 802, 631, 163, 437

Given numbers are 726, 147, 288, 964
The greatest common divisor of numbers 726, 147, 288, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 726, 147, 288, 964 is 1.

1. What is the GCD of 726, 147, 288, 964?

GCD of given numbers 726, 147, 288, 964 is 1

2. How to calculate the greatest common divisor of 726, 147, 288, 964?

We can find the highest common divisor of 726, 147, 288, 964 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 726, 147, 288, 964 i.e 1.

3. How can I use the GCD of 726, 147, 288, 964Calculator?

Out the numbers 726, 147, 288, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.