GCD of 660, 414, 338, 126 Calculator

Given Input numbers are 660, 414, 338, 126

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 414 :

The positive integer divisors of 414 that completely divides 414 are.

1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 207, 414

Divisors of 338 :

The positive integer divisors of 338 that completely divides 338 are.

1, 2, 13, 26, 169, 338

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

GCD of numbers is the greatest common divisor

So, the GCD (660, 414, 338, 126) = 2.

Given numbers are 660, 414, 338, 126

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 414 are 2 x 3 x 3 x 23

Prime factors of 338 are 2 x 13 x 13

Prime factors of 126 are 2 x 3 x 3 x 7

The highest common occurrence is 2¹

Therefore, GCD of 660, 414, 338, 126 is 2.

Given numbers are 660, 414, 338, 126

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

Apply this formula for all numbers.

Step1:

LCM(660, 414) = 45540

GCD(660, 414) = ( 660 x 414 ) / 45540

= 660 / 414

= 660

Step2:

LCM(6, 338) = 1014

GCD(6, 338) = ( 6 x 338 ) / 1014

= 6 / 338

= 6

Step3:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

So, Greatest Common Divisor of 660, 414, 338, 126 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 529, 883, 746, 106
• GCD of 593, 550, 591, 334
• GCD of 268, 888, 997, 799
• GCD of 196, 197, 511, 240
• GCD of 531, 610, 721, 702

Given numbers are 660, 414, 338, 126
The greatest common divisor of numbers 660, 414, 338, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 660, 414, 338, 126 is 2.

1. What is the GCD of 660, 414, 338, 126?

GCD of given numbers 660, 414, 338, 126 is 2

2. How to calculate the greatest common divisor of 660, 414, 338, 126?

We can find the highest common divisor of 660, 414, 338, 126 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, 414, 338, 126 i.e 2.

3. How can I use the GCD of 660, 414, 338, 126Calculator?

Out the numbers 660, 414, 338, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.