GCD of 107, 614, 708, 162 Calculator

Given Input numbers are 107, 614, 708, 162

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

Divisors of 107 :

The positive integer divisors of 107 that completely divides 107 are.

1, 107

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

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 162 :

The positive integer divisors of 162 that completely divides 162 are.

1, 2, 3, 6, 9, 18, 27, 54, 81, 162

GCD of numbers is the greatest common divisor

So, the GCD (107, 614, 708, 162) = 1.

Given numbers are 107, 614, 708, 162

The list of prime factors of all numbers are

Prime factors of 107 are 107

Prime factors of 614 are 2 x 307

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

Prime factors of 162 are 2 x 3 x 3 x 3 x 3

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 107, 614, 708, 162

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

Apply this formula for all numbers.

Step1:

LCM(107, 614) = 65698

GCD(107, 614) = ( 107 x 614 ) / 65698

= 107 / 614

= 107

Step2:

LCM(1, 708) = 708

GCD(1, 708) = ( 1 x 708 ) / 708

= 1 / 708

= 1

Step3:

LCM(1, 162) = 162

GCD(1, 162) = ( 1 x 162 ) / 162

= 1 / 162

= 1

So, Greatest Common Divisor of 107, 614, 708, 162 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 330, 209, 200
• GCD of 877, 104, 114, 848
• GCD of 705, 945, 347, 374
• GCD of 766, 705, 282, 340
• GCD of 791, 849, 489, 774

Given numbers are 107, 614, 708, 162
The greatest common divisor of numbers 107, 614, 708, 162 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 107, 614, 708, 162 is 1.

1. What is the GCD of 107, 614, 708, 162?

GCD of given numbers 107, 614, 708, 162 is 1

2. How to calculate the greatest common divisor of 107, 614, 708, 162?

We can find the highest common divisor of 107, 614, 708, 162 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 107, 614, 708, 162 i.e 1.

3. How can I use the GCD of 107, 614, 708, 162Calculator?

Out the numbers 107, 614, 708, 162 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.