GCD of 660, 240, 462, 114 Calculator

Given Input numbers are 660, 240, 462, 114

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

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

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

Divisors of 462 :

The positive integer divisors of 462 that completely divides 462 are.

1, 2, 3, 6, 7, 11, 14, 21, 22, 33, 42, 66, 77, 154, 231, 462

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (660, 240, 462, 114) = 6.

Given numbers are 660, 240, 462, 114

The list of prime factors of all numbers are

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

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 462 are 2 x 3 x 7 x 11

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 2¹ x 3¹

Therefore, GCD of 660, 240, 462, 114 is 6.

Given numbers are 660, 240, 462, 114

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

Apply this formula for all numbers.

Step1:

LCM(660, 240) = 2640

GCD(660, 240) = ( 660 x 240 ) / 2640

= 660 / 240

= 660

Step2:

LCM(60, 462) = 4620

GCD(60, 462) = ( 60 x 462 ) / 4620

= 60 / 462

= 60

Step3:

LCM(6, 114) = 114

GCD(6, 114) = ( 6 x 114 ) / 114

= 6 / 114

= 6

So, Greatest Common Divisor of 660, 240, 462, 114 is 6

Here are some samples of GCD of Numbers calculations.

• GCD of 635, 972, 711, 585
• GCD of 103, 839, 649, 502
• GCD of 778, 441, 561, 693
• GCD of 515, 898, 122, 111
• GCD of 865, 103, 296, 656

Given numbers are 660, 240, 462, 114
The greatest common divisor of numbers 660, 240, 462, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 240, 462, 114 is 6.

1. What is the GCD of 660, 240, 462, 114?

GCD of given numbers 660, 240, 462, 114 is 6

2. How to calculate the greatest common divisor of 660, 240, 462, 114?

We can find the highest common divisor of 660, 240, 462, 114 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 660, 240, 462, 114 i.e 6.

3. How can I use the GCD of 660, 240, 462, 114Calculator?

Out the numbers 660, 240, 462, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.