GCD of 981, 252, 141, 564 Calculator

Given Input numbers are 981, 252, 141, 564

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

Divisors of 981 :

The positive integer divisors of 981 that completely divides 981 are.

1, 3, 9, 109, 327, 981

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

GCD of numbers is the greatest common divisor

So, the GCD (981, 252, 141, 564) = 3.

Given numbers are 981, 252, 141, 564

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 141 are 3 x 47

Prime factors of 564 are 2 x 2 x 3 x 47

The highest common occurrence is 3¹

Therefore, GCD of 981, 252, 141, 564 is 3.

Given numbers are 981, 252, 141, 564

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

Apply this formula for all numbers.

Step1:

LCM(981, 252) = 27468

GCD(981, 252) = ( 981 x 252 ) / 27468

= 981 / 252

= 981

Step2:

LCM(9, 141) = 423

GCD(9, 141) = ( 9 x 141 ) / 423

= 9 / 141

= 9

Step3:

LCM(3, 564) = 564

GCD(3, 564) = ( 3 x 564 ) / 564

= 3 / 564

= 3

So, Greatest Common Divisor of 981, 252, 141, 564 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 275, 943, 970, 581
• GCD of 435, 438, 916, 799
• GCD of 314, 669, 763, 893
• GCD of 742, 622, 274, 744
• GCD of 631, 485, 418, 900

Given numbers are 981, 252, 141, 564
The greatest common divisor of numbers 981, 252, 141, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 252, 141, 564 is 3.

1. What is the GCD of 981, 252, 141, 564?

GCD of given numbers 981, 252, 141, 564 is 3

2. How to calculate the greatest common divisor of 981, 252, 141, 564?

We can find the highest common divisor of 981, 252, 141, 564 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 981, 252, 141, 564 i.e 3.

3. How can I use the GCD of 981, 252, 141, 564Calculator?

Out the numbers 981, 252, 141, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.