GCD of 143, 524, 699, 972 Calculator

Given Input numbers are 143, 524, 699, 972

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

Divisors of 143 :

The positive integer divisors of 143 that completely divides 143 are.

1, 11, 13, 143

Divisors of 524 :

The positive integer divisors of 524 that completely divides 524 are.

1, 2, 4, 131, 262, 524

Divisors of 699 :

The positive integer divisors of 699 that completely divides 699 are.

1, 3, 233, 699

Divisors of 972 :

The positive integer divisors of 972 that completely divides 972 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972

GCD of numbers is the greatest common divisor

So, the GCD (143, 524, 699, 972) = 1.

Given numbers are 143, 524, 699, 972

The list of prime factors of all numbers are

Prime factors of 143 are 11 x 13

Prime factors of 524 are 2 x 2 x 131

Prime factors of 699 are 3 x 233

Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3

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

Given numbers are 143, 524, 699, 972

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

Apply this formula for all numbers.

Step1:

LCM(143, 524) = 74932

GCD(143, 524) = ( 143 x 524 ) / 74932

= 143 / 524

= 143

Step2:

LCM(1, 699) = 699

GCD(1, 699) = ( 1 x 699 ) / 699

= 1 / 699

= 1

Step3:

LCM(1, 972) = 972

GCD(1, 972) = ( 1 x 972 ) / 972

= 1 / 972

= 1

So, Greatest Common Divisor of 143, 524, 699, 972 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 946, 306, 984
• GCD of 253, 654, 221, 443
• GCD of 357, 332, 882, 919
• GCD of 330, 985, 625, 298
• GCD of 848, 281, 769, 363

Given numbers are 143, 524, 699, 972
The greatest common divisor of numbers 143, 524, 699, 972 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 143, 524, 699, 972 is 1.

1. What is the GCD of 143, 524, 699, 972?

GCD of given numbers 143, 524, 699, 972 is 1

2. How to calculate the greatest common divisor of 143, 524, 699, 972?

We can find the highest common divisor of 143, 524, 699, 972 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 143, 524, 699, 972 i.e 1.

3. How can I use the GCD of 143, 524, 699, 972Calculator?

Out the numbers 143, 524, 699, 972 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.