GCD of 916, 402, 712, 884 Calculator

Given Input numbers are 916, 402, 712, 884

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

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 884 :

The positive integer divisors of 884 that completely divides 884 are.

1, 2, 4, 13, 17, 26, 34, 52, 68, 221, 442, 884

GCD of numbers is the greatest common divisor

So, the GCD (916, 402, 712, 884) = 2.

Given numbers are 916, 402, 712, 884

The list of prime factors of all numbers are

Prime factors of 916 are 2 x 2 x 229

Prime factors of 402 are 2 x 3 x 67

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 884 are 2 x 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 916, 402, 712, 884 is 2.

Given numbers are 916, 402, 712, 884

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

Apply this formula for all numbers.

Step1:

LCM(916, 402) = 184116

GCD(916, 402) = ( 916 x 402 ) / 184116

= 916 / 402

= 916

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 884) = 884

GCD(2, 884) = ( 2 x 884 ) / 884

= 2 / 884

= 2

So, Greatest Common Divisor of 916, 402, 712, 884 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 461, 941, 428, 670
• GCD of 642, 201, 984, 126
• GCD of 144, 581, 831, 880
• GCD of 231, 922, 213, 563
• GCD of 119, 351, 539, 607

Given numbers are 916, 402, 712, 884
The greatest common divisor of numbers 916, 402, 712, 884 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 916, 402, 712, 884 is 2.

1. What is the GCD of 916, 402, 712, 884?

GCD of given numbers 916, 402, 712, 884 is 2

2. How to calculate the greatest common divisor of 916, 402, 712, 884?

We can find the highest common divisor of 916, 402, 712, 884 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 916, 402, 712, 884 i.e 2.

3. How can I use the GCD of 916, 402, 712, 884Calculator?

Out the numbers 916, 402, 712, 884 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.