GCD of 102, 228, 651, 660 Calculator

Given Input numbers are 102, 228, 651, 660

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

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 228 :

The positive integer divisors of 228 that completely divides 228 are.

1, 2, 3, 4, 6, 12, 19, 38, 57, 76, 114, 228

Divisors of 651 :

The positive integer divisors of 651 that completely divides 651 are.

1, 3, 7, 21, 31, 93, 217, 651

Divisors of 660 :

The positive integer divisors of 660 that completely divides 660 are.

1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660

GCD of numbers is the greatest common divisor

So, the GCD (102, 228, 651, 660) = 3.

Given numbers are 102, 228, 651, 660

The list of prime factors of all numbers are

Prime factors of 102 are 2 x 3 x 17

Prime factors of 228 are 2 x 2 x 3 x 19

Prime factors of 651 are 3 x 7 x 31

Prime factors of 660 are 2 x 2 x 3 x 5 x 11

The highest common occurrence is 3¹

Therefore, GCD of 102, 228, 651, 660 is 3.

Given numbers are 102, 228, 651, 660

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

Apply this formula for all numbers.

Step1:

LCM(102, 228) = 3876

GCD(102, 228) = ( 102 x 228 ) / 3876

= 102 / 228

= 102

Step2:

LCM(6, 651) = 1302

GCD(6, 651) = ( 6 x 651 ) / 1302

= 6 / 651

= 6

Step3:

LCM(3, 660) = 660

GCD(3, 660) = ( 3 x 660 ) / 660

= 3 / 660

= 3

So, Greatest Common Divisor of 102, 228, 651, 660 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 963, 210, 282, 799
• GCD of 774, 194, 677, 323
• GCD of 286, 533, 472, 189
• GCD of 666, 485, 873, 597
• GCD of 884, 894, 992, 353

Given numbers are 102, 228, 651, 660
The greatest common divisor of numbers 102, 228, 651, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 228, 651, 660 is 3.

1. What is the GCD of 102, 228, 651, 660?

GCD of given numbers 102, 228, 651, 660 is 3

2. How to calculate the greatest common divisor of 102, 228, 651, 660?

We can find the highest common divisor of 102, 228, 651, 660 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 102, 228, 651, 660 i.e 3.

3. How can I use the GCD of 102, 228, 651, 660Calculator?

Out the numbers 102, 228, 651, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.