GCD of 716, 862, 888, 828 Calculator

Given Input numbers are 716, 862, 888, 828

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 862 :

The positive integer divisors of 862 that completely divides 862 are.

1, 2, 431, 862

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 828 :

The positive integer divisors of 828 that completely divides 828 are.

1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828

GCD of numbers is the greatest common divisor

So, the GCD (716, 862, 888, 828) = 2.

Given numbers are 716, 862, 888, 828

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 862 are 2 x 431

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 828 are 2 x 2 x 3 x 3 x 23

The highest common occurrence is 2¹

Therefore, GCD of 716, 862, 888, 828 is 2.

Given numbers are 716, 862, 888, 828

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

Apply this formula for all numbers.

Step1:

LCM(716, 862) = 308596

GCD(716, 862) = ( 716 x 862 ) / 308596

= 716 / 862

= 716

Step2:

LCM(2, 888) = 888

GCD(2, 888) = ( 2 x 888 ) / 888

= 2 / 888

= 2

Step3:

LCM(2, 828) = 828

GCD(2, 828) = ( 2 x 828 ) / 828

= 2 / 828

= 2

So, Greatest Common Divisor of 716, 862, 888, 828 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 661, 993, 618, 192
• GCD of 763, 651, 588, 131
• GCD of 473, 412, 871, 397
• GCD of 780, 384, 301, 992
• GCD of 931, 284, 896, 295

Given numbers are 716, 862, 888, 828
The greatest common divisor of numbers 716, 862, 888, 828 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 862, 888, 828 is 2.

1. What is the GCD of 716, 862, 888, 828?

GCD of given numbers 716, 862, 888, 828 is 2

2. How to calculate the greatest common divisor of 716, 862, 888, 828?

We can find the highest common divisor of 716, 862, 888, 828 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, 862, 888, 828 i.e 2.

3. How can I use the GCD of 716, 862, 888, 828Calculator?

Out the numbers 716, 862, 888, 828 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.