GCD of 714, 236, 216, 764 Calculator

Given Input numbers are 714, 236, 216, 764

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

Divisors of 714 :

The positive integer divisors of 714 that completely divides 714 are.

1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714

Divisors of 236 :

The positive integer divisors of 236 that completely divides 236 are.

1, 2, 4, 59, 118, 236

Divisors of 216 :

The positive integer divisors of 216 that completely divides 216 are.

1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 108, 216

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

GCD of numbers is the greatest common divisor

So, the GCD (714, 236, 216, 764) = 2.

Given numbers are 714, 236, 216, 764

The list of prime factors of all numbers are

Prime factors of 714 are 2 x 3 x 7 x 17

Prime factors of 236 are 2 x 2 x 59

Prime factors of 216 are 2 x 2 x 2 x 3 x 3 x 3

Prime factors of 764 are 2 x 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 714, 236, 216, 764 is 2.

Given numbers are 714, 236, 216, 764

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

Apply this formula for all numbers.

Step1:

LCM(714, 236) = 84252

GCD(714, 236) = ( 714 x 236 ) / 84252

= 714 / 236

= 714

Step2:

LCM(2, 216) = 216

GCD(2, 216) = ( 2 x 216 ) / 216

= 2 / 216

= 2

Step3:

LCM(2, 764) = 764

GCD(2, 764) = ( 2 x 764 ) / 764

= 2 / 764

= 2

So, Greatest Common Divisor of 714, 236, 216, 764 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 846, 507, 491, 727
• GCD of 652, 386, 220, 283
• GCD of 906, 331, 556, 161
• GCD of 231, 988, 172, 823
• GCD of 707, 398, 966, 269

Given numbers are 714, 236, 216, 764
The greatest common divisor of numbers 714, 236, 216, 764 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 236, 216, 764 is 2.

1. What is the GCD of 714, 236, 216, 764?

GCD of given numbers 714, 236, 216, 764 is 2

2. How to calculate the greatest common divisor of 714, 236, 216, 764?

We can find the highest common divisor of 714, 236, 216, 764 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 714, 236, 216, 764 i.e 2.

3. How can I use the GCD of 714, 236, 216, 764Calculator?

Out the numbers 714, 236, 216, 764 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.