GCD of 144, 542, 707, 823 Calculator

Given Input numbers are 144, 542, 707, 823

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 542 :

The positive integer divisors of 542 that completely divides 542 are.

1, 2, 271, 542

Divisors of 707 :

The positive integer divisors of 707 that completely divides 707 are.

1, 7, 101, 707

Divisors of 823 :

The positive integer divisors of 823 that completely divides 823 are.

1, 823

GCD of numbers is the greatest common divisor

So, the GCD (144, 542, 707, 823) = 1.

Given numbers are 144, 542, 707, 823

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 542 are 2 x 271

Prime factors of 707 are 7 x 101

Prime factors of 823 are 823

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

Given numbers are 144, 542, 707, 823

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

Apply this formula for all numbers.

Step1:

LCM(144, 542) = 39024

GCD(144, 542) = ( 144 x 542 ) / 39024

= 144 / 542

= 144

Step2:

LCM(2, 707) = 1414

GCD(2, 707) = ( 2 x 707 ) / 1414

= 2 / 707

= 2

Step3:

LCM(1, 823) = 823

GCD(1, 823) = ( 1 x 823 ) / 823

= 1 / 823

= 1

So, Greatest Common Divisor of 144, 542, 707, 823 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 316, 719, 653, 974
• GCD of 357, 201, 270, 224
• GCD of 253, 113, 680, 832
• GCD of 427, 336, 938, 554
• GCD of 591, 861, 222, 922

Given numbers are 144, 542, 707, 823
The greatest common divisor of numbers 144, 542, 707, 823 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 144, 542, 707, 823 is 1.

1. What is the GCD of 144, 542, 707, 823?

GCD of given numbers 144, 542, 707, 823 is 1

2. How to calculate the greatest common divisor of 144, 542, 707, 823?

We can find the highest common divisor of 144, 542, 707, 823 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, 542, 707, 823 i.e 1.

3. How can I use the GCD of 144, 542, 707, 823Calculator?

Out the numbers 144, 542, 707, 823 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.