GCD of 771, 918, 252, 984 Calculator

Given Input numbers are 771, 918, 252, 984

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

Divisors of 771 :

The positive integer divisors of 771 that completely divides 771 are.

1, 3, 257, 771

Divisors of 918 :

The positive integer divisors of 918 that completely divides 918 are.

1, 2, 3, 6, 9, 17, 18, 27, 34, 51, 54, 102, 153, 306, 459, 918

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 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

GCD of numbers is the greatest common divisor

So, the GCD (771, 918, 252, 984) = 3.

Given numbers are 771, 918, 252, 984

The list of prime factors of all numbers are

Prime factors of 771 are 3 x 257

Prime factors of 918 are 2 x 3 x 3 x 3 x 17

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

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

The highest common occurrence is 3¹

Therefore, GCD of 771, 918, 252, 984 is 3.

Given numbers are 771, 918, 252, 984

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

Apply this formula for all numbers.

Step1:

LCM(771, 918) = 235926

GCD(771, 918) = ( 771 x 918 ) / 235926

= 771 / 918

= 771

Step2:

LCM(3, 252) = 252

GCD(3, 252) = ( 3 x 252 ) / 252

= 3 / 252

= 3

Step3:

LCM(3, 984) = 984

GCD(3, 984) = ( 3 x 984 ) / 984

= 3 / 984

= 3

So, Greatest Common Divisor of 771, 918, 252, 984 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 544, 477, 627, 210
• GCD of 832, 641, 580, 371
• GCD of 606, 423, 176, 422
• GCD of 857, 440, 349, 115
• GCD of 793, 973, 736, 253

Given numbers are 771, 918, 252, 984
The greatest common divisor of numbers 771, 918, 252, 984 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 771, 918, 252, 984 is 3.

1. What is the GCD of 771, 918, 252, 984?

GCD of given numbers 771, 918, 252, 984 is 3

2. How to calculate the greatest common divisor of 771, 918, 252, 984?

We can find the highest common divisor of 771, 918, 252, 984 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 771, 918, 252, 984 i.e 3.

3. How can I use the GCD of 771, 918, 252, 984Calculator?

Out the numbers 771, 918, 252, 984 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.