GCD of 714, 159, 183, 684 Calculator

Given Input numbers are 714, 159, 183, 684

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 159 :

The positive integer divisors of 159 that completely divides 159 are.

1, 3, 53, 159

Divisors of 183 :

The positive integer divisors of 183 that completely divides 183 are.

1, 3, 61, 183

Divisors of 684 :

The positive integer divisors of 684 that completely divides 684 are.

1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684

GCD of numbers is the greatest common divisor

So, the GCD (714, 159, 183, 684) = 3.

Given numbers are 714, 159, 183, 684

The list of prime factors of all numbers are

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

Prime factors of 159 are 3 x 53

Prime factors of 183 are 3 x 61

Prime factors of 684 are 2 x 2 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 714, 159, 183, 684 is 3.

Given numbers are 714, 159, 183, 684

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

Apply this formula for all numbers.

Step1:

LCM(714, 159) = 37842

GCD(714, 159) = ( 714 x 159 ) / 37842

= 714 / 159

= 714

Step2:

LCM(3, 183) = 183

GCD(3, 183) = ( 3 x 183 ) / 183

= 3 / 183

= 3

Step3:

LCM(3, 684) = 684

GCD(3, 684) = ( 3 x 684 ) / 684

= 3 / 684

= 3

So, Greatest Common Divisor of 714, 159, 183, 684 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 119, 735, 716, 105
• GCD of 219, 177, 527, 970
• GCD of 921, 997, 657, 146
• GCD of 284, 408, 516, 369
• GCD of 972, 949, 924, 906

Given numbers are 714, 159, 183, 684
The greatest common divisor of numbers 714, 159, 183, 684 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 159, 183, 684 is 3.

1. What is the GCD of 714, 159, 183, 684?

GCD of given numbers 714, 159, 183, 684 is 3

2. How to calculate the greatest common divisor of 714, 159, 183, 684?

We can find the highest common divisor of 714, 159, 183, 684 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, 159, 183, 684 i.e 3.

3. How can I use the GCD of 714, 159, 183, 684Calculator?

Out the numbers 714, 159, 183, 684 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.