GCD of 657, 117, 984, 714 Calculator

Given Input numbers are 657, 117, 984, 714

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

Divisors of 657 :

The positive integer divisors of 657 that completely divides 657 are.

1, 3, 9, 73, 219, 657

Divisors of 117 :

The positive integer divisors of 117 that completely divides 117 are.

1, 3, 9, 13, 39, 117

Divisors of 984 :

The positive integer divisors of 984 that completely divides 984 are.

1, 2, 3, 4, 6, 8, 12, 24, 41, 82, 123, 164, 246, 328, 492, 984

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

GCD of numbers is the greatest common divisor

So, the GCD (657, 117, 984, 714) = 3.

Given numbers are 657, 117, 984, 714

The list of prime factors of all numbers are

Prime factors of 657 are 3 x 3 x 73

Prime factors of 117 are 3 x 3 x 13

Prime factors of 984 are 2 x 2 x 2 x 3 x 41

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

The highest common occurrence is 3¹

Therefore, GCD of 657, 117, 984, 714 is 3.

Given numbers are 657, 117, 984, 714

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

Apply this formula for all numbers.

Step1:

LCM(657, 117) = 8541

GCD(657, 117) = ( 657 x 117 ) / 8541

= 657 / 117

= 657

Step2:

LCM(9, 984) = 2952

GCD(9, 984) = ( 9 x 984 ) / 2952

= 9 / 984

= 9

Step3:

LCM(3, 714) = 714

GCD(3, 714) = ( 3 x 714 ) / 714

= 3 / 714

= 3

So, Greatest Common Divisor of 657, 117, 984, 714 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 348, 369, 318, 188
• GCD of 465, 668, 911, 896
• GCD of 321, 685, 616, 437
• GCD of 492, 865, 285, 560
• GCD of 863, 625, 272, 777

Given numbers are 657, 117, 984, 714
The greatest common divisor of numbers 657, 117, 984, 714 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 117, 984, 714 is 3.

1. What is the GCD of 657, 117, 984, 714?

GCD of given numbers 657, 117, 984, 714 is 3

2. How to calculate the greatest common divisor of 657, 117, 984, 714?

We can find the highest common divisor of 657, 117, 984, 714 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 657, 117, 984, 714 i.e 3.

3. How can I use the GCD of 657, 117, 984, 714Calculator?

Out the numbers 657, 117, 984, 714 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.