GCD of 144, 976, 509, 709 Calculator

Given Input numbers are 144, 976, 509, 709

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

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 509 :

The positive integer divisors of 509 that completely divides 509 are.

1, 509

Divisors of 709 :

The positive integer divisors of 709 that completely divides 709 are.

1, 709

GCD of numbers is the greatest common divisor

So, the GCD (144, 976, 509, 709) = 1.

Given numbers are 144, 976, 509, 709

The list of prime factors of all numbers are

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 509 are 509

Prime factors of 709 are 709

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

Given numbers are 144, 976, 509, 709

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

Apply this formula for all numbers.

Step1:

LCM(144, 976) = 8784

GCD(144, 976) = ( 144 x 976 ) / 8784

= 144 / 976

= 144

Step2:

LCM(16, 509) = 8144

GCD(16, 509) = ( 16 x 509 ) / 8144

= 16 / 509

= 16

Step3:

LCM(1, 709) = 709

GCD(1, 709) = ( 1 x 709 ) / 709

= 1 / 709

= 1

So, Greatest Common Divisor of 144, 976, 509, 709 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 420, 524, 263
• GCD of 128, 150, 703, 804
• GCD of 611, 442, 210, 304
• GCD of 487, 126, 367, 796
• GCD of 588, 246, 686, 861

Given numbers are 144, 976, 509, 709
The greatest common divisor of numbers 144, 976, 509, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 976, 509, 709 is 1.

1. What is the GCD of 144, 976, 509, 709?

GCD of given numbers 144, 976, 509, 709 is 1

2. How to calculate the greatest common divisor of 144, 976, 509, 709?

We can find the highest common divisor of 144, 976, 509, 709 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 144, 976, 509, 709 i.e 1.

3. How can I use the GCD of 144, 976, 509, 709Calculator?

Out the numbers 144, 976, 509, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.