GCD of 716, 708, 900, 692 Calculator

Given Input numbers are 716, 708, 900, 692

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

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 692 :

The positive integer divisors of 692 that completely divides 692 are.

1, 2, 4, 173, 346, 692

GCD of numbers is the greatest common divisor

So, the GCD (716, 708, 900, 692) = 4.

Given numbers are 716, 708, 900, 692

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 692 are 2 x 2 x 173

The highest common occurrence is 2²

Therefore, GCD of 716, 708, 900, 692 is 4.

Given numbers are 716, 708, 900, 692

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

Apply this formula for all numbers.

Step1:

LCM(716, 708) = 126732

GCD(716, 708) = ( 716 x 708 ) / 126732

= 716 / 708

= 716

Step2:

LCM(4, 900) = 900

GCD(4, 900) = ( 4 x 900 ) / 900

= 4 / 900

= 4

Step3:

LCM(4, 692) = 692

GCD(4, 692) = ( 4 x 692 ) / 692

= 4 / 692

= 4

So, Greatest Common Divisor of 716, 708, 900, 692 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 510, 559, 332, 469
• GCD of 595, 250, 131, 982
• GCD of 301, 392, 777, 715
• GCD of 241, 709, 774, 826
• GCD of 541, 572, 162, 427

Given numbers are 716, 708, 900, 692
The greatest common divisor of numbers 716, 708, 900, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 708, 900, 692 is 4.

1. What is the GCD of 716, 708, 900, 692?

GCD of given numbers 716, 708, 900, 692 is 4

2. How to calculate the greatest common divisor of 716, 708, 900, 692?

We can find the highest common divisor of 716, 708, 900, 692 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 716, 708, 900, 692 i.e 4.

3. How can I use the GCD of 716, 708, 900, 692Calculator?

Out the numbers 716, 708, 900, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.