GCD of 981, 474, 777, 588 Calculator

Given Input numbers are 981, 474, 777, 588

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 777 :

The positive integer divisors of 777 that completely divides 777 are.

1, 3, 7, 21, 37, 111, 259, 777

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (981, 474, 777, 588) = 3.

Given numbers are 981, 474, 777, 588

The list of prime factors of all numbers are

Prime factors of 981 are 3 x 3 x 109

Prime factors of 474 are 2 x 3 x 79

Prime factors of 777 are 3 x 7 x 37

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 981, 474, 777, 588 is 3.

Given numbers are 981, 474, 777, 588

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

Apply this formula for all numbers.

Step1:

LCM(981, 474) = 154998

GCD(981, 474) = ( 981 x 474 ) / 154998

= 981 / 474

= 981

Step2:

LCM(3, 777) = 777

GCD(3, 777) = ( 3 x 777 ) / 777

= 3 / 777

= 3

Step3:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 981, 474, 777, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 105, 792, 304, 489
• GCD of 892, 701, 822, 119
• GCD of 788, 198, 860, 921
• GCD of 346, 830, 132, 365
• GCD of 414, 165, 549, 380

Given numbers are 981, 474, 777, 588
The greatest common divisor of numbers 981, 474, 777, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 474, 777, 588 is 3.

1. What is the GCD of 981, 474, 777, 588?

GCD of given numbers 981, 474, 777, 588 is 3

2. How to calculate the greatest common divisor of 981, 474, 777, 588?

We can find the highest common divisor of 981, 474, 777, 588 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, 474, 777, 588 i.e 3.

3. How can I use the GCD of 981, 474, 777, 588Calculator?

Out the numbers 981, 474, 777, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.