GCD of 268, 262, 66, 462 Calculator

Given Input numbers are 268, 262, 66, 462

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

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

Divisors of 262 :

The positive integer divisors of 262 that completely divides 262 are.

1, 2, 131, 262

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

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

GCD of numbers is the greatest common divisor

So, the GCD (268, 262, 66, 462) = 2.

Given numbers are 268, 262, 66, 462

The list of prime factors of all numbers are

Prime factors of 268 are 2 x 2 x 67

Prime factors of 262 are 2 x 131

Prime factors of 66 are 2 x 3 x 11

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

The highest common occurrence is 2¹

Therefore, GCD of 268, 262, 66, 462 is 2.

Given numbers are 268, 262, 66, 462

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

Apply this formula for all numbers.

Step1:

LCM(268, 262) = 35108

GCD(268, 262) = ( 268 x 262 ) / 35108

= 268 / 262

= 268

Step2:

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

= 2 / 66

= 2

Step3:

LCM(2, 462) = 462

GCD(2, 462) = ( 2 x 462 ) / 462

= 2 / 462

= 2

So, Greatest Common Divisor of 268, 262, 66, 462 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 722, 893, 28, 677
• GCD of 916, 606, 36, 130
• GCD of 285, 350, 65, 153
• GCD of 170, 870, 48, 316
• GCD of 249, 790, 39, 984

Given numbers are 268, 262, 66, 462
The greatest common divisor of numbers 268, 262, 66, 462 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 268, 262, 66, 462 is 2.

1. What is the GCD of 268, 262, 66, 462?

GCD of given numbers 268, 262, 66, 462 is 2

2. How to calculate the greatest common divisor of 268, 262, 66, 462?

We can find the highest common divisor of 268, 262, 66, 462 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 268, 262, 66, 462 i.e 2.

3. How can I use the GCD of 268, 262, 66, 462Calculator?

Out the numbers 268, 262, 66, 462 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.