GCD of 100, 966, 662, 616 Calculator

Given Input numbers are 100, 966, 662, 616

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

Divisors of 100 :

The positive integer divisors of 100 that completely divides 100 are.

1, 2, 4, 5, 10, 20, 25, 50, 100

Divisors of 966 :

The positive integer divisors of 966 that completely divides 966 are.

1, 2, 3, 6, 7, 14, 21, 23, 42, 46, 69, 138, 161, 322, 483, 966

Divisors of 662 :

The positive integer divisors of 662 that completely divides 662 are.

1, 2, 331, 662

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (100, 966, 662, 616) = 2.

Given numbers are 100, 966, 662, 616

The list of prime factors of all numbers are

Prime factors of 100 are 2 x 2 x 5 x 5

Prime factors of 966 are 2 x 3 x 7 x 23

Prime factors of 662 are 2 x 331

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 100, 966, 662, 616 is 2.

Given numbers are 100, 966, 662, 616

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

Apply this formula for all numbers.

Step1:

LCM(100, 966) = 48300

GCD(100, 966) = ( 100 x 966 ) / 48300

= 100 / 966

= 100

Step2:

LCM(2, 662) = 662

GCD(2, 662) = ( 2 x 662 ) / 662

= 2 / 662

= 2

Step3:

LCM(2, 616) = 616

GCD(2, 616) = ( 2 x 616 ) / 616

= 2 / 616

= 2

So, Greatest Common Divisor of 100, 966, 662, 616 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 188, 285, 327, 657
• GCD of 985, 602, 194, 601
• GCD of 186, 516, 734, 334
• GCD of 943, 124, 230, 767
• GCD of 211, 638, 151, 882

Given numbers are 100, 966, 662, 616
The greatest common divisor of numbers 100, 966, 662, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 966, 662, 616 is 2.

1. What is the GCD of 100, 966, 662, 616?

GCD of given numbers 100, 966, 662, 616 is 2

2. How to calculate the greatest common divisor of 100, 966, 662, 616?

We can find the highest common divisor of 100, 966, 662, 616 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 100, 966, 662, 616 i.e 2.

3. How can I use the GCD of 100, 966, 662, 616Calculator?

Out the numbers 100, 966, 662, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.