GCD of 534, 249, 972, 711 Calculator

Given Input numbers are 534, 249, 972, 711

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

Divisors of 534 :

The positive integer divisors of 534 that completely divides 534 are.

1, 2, 3, 6, 89, 178, 267, 534

Divisors of 249 :

The positive integer divisors of 249 that completely divides 249 are.

1, 3, 83, 249

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

Divisors of 711 :

The positive integer divisors of 711 that completely divides 711 are.

1, 3, 9, 79, 237, 711

GCD of numbers is the greatest common divisor

So, the GCD (534, 249, 972, 711) = 3.

Given numbers are 534, 249, 972, 711

The list of prime factors of all numbers are

Prime factors of 534 are 2 x 3 x 89

Prime factors of 249 are 3 x 83

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

Prime factors of 711 are 3 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 534, 249, 972, 711 is 3.

Given numbers are 534, 249, 972, 711

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

Apply this formula for all numbers.

Step1:

LCM(534, 249) = 44322

GCD(534, 249) = ( 534 x 249 ) / 44322

= 534 / 249

= 534

Step2:

LCM(3, 972) = 972

GCD(3, 972) = ( 3 x 972 ) / 972

= 3 / 972

= 3

Step3:

LCM(3, 711) = 711

GCD(3, 711) = ( 3 x 711 ) / 711

= 3 / 711

= 3

So, Greatest Common Divisor of 534, 249, 972, 711 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 603, 844, 428, 670
• GCD of 239, 777, 900, 301
• GCD of 638, 181, 503, 310
• GCD of 591, 821, 623, 843
• GCD of 997, 551, 201, 127

Given numbers are 534, 249, 972, 711
The greatest common divisor of numbers 534, 249, 972, 711 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 534, 249, 972, 711 is 3.

1. What is the GCD of 534, 249, 972, 711?

GCD of given numbers 534, 249, 972, 711 is 3

2. How to calculate the greatest common divisor of 534, 249, 972, 711?

We can find the highest common divisor of 534, 249, 972, 711 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 534, 249, 972, 711 i.e 3.

3. How can I use the GCD of 534, 249, 972, 711Calculator?

Out the numbers 534, 249, 972, 711 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.