GCD of 408, 652, 766, 746 Calculator

Given Input numbers are 408, 652, 766, 746

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

Divisors of 408 :

The positive integer divisors of 408 that completely divides 408 are.

1, 2, 3, 4, 6, 8, 12, 17, 24, 34, 51, 68, 102, 136, 204, 408

Divisors of 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 766 :

The positive integer divisors of 766 that completely divides 766 are.

1, 2, 383, 766

Divisors of 746 :

The positive integer divisors of 746 that completely divides 746 are.

1, 2, 373, 746

GCD of numbers is the greatest common divisor

So, the GCD (408, 652, 766, 746) = 2.

Given numbers are 408, 652, 766, 746

The list of prime factors of all numbers are

Prime factors of 408 are 2 x 2 x 2 x 3 x 17

Prime factors of 652 are 2 x 2 x 163

Prime factors of 766 are 2 x 383

Prime factors of 746 are 2 x 373

The highest common occurrence is 2¹

Therefore, GCD of 408, 652, 766, 746 is 2.

Given numbers are 408, 652, 766, 746

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

Apply this formula for all numbers.

Step1:

LCM(408, 652) = 66504

GCD(408, 652) = ( 408 x 652 ) / 66504

= 408 / 652

= 408

Step2:

LCM(4, 766) = 1532

GCD(4, 766) = ( 4 x 766 ) / 1532

= 4 / 766

= 4

Step3:

LCM(2, 746) = 746

GCD(2, 746) = ( 2 x 746 ) / 746

= 2 / 746

= 2

So, Greatest Common Divisor of 408, 652, 766, 746 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 338, 623, 577, 318
• GCD of 505, 566, 981, 764
• GCD of 498, 477, 360, 196
• GCD of 188, 943, 772, 461
• GCD of 494, 890, 106, 547

Given numbers are 408, 652, 766, 746
The greatest common divisor of numbers 408, 652, 766, 746 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 408, 652, 766, 746 is 2.

1. What is the GCD of 408, 652, 766, 746?

GCD of given numbers 408, 652, 766, 746 is 2

2. How to calculate the greatest common divisor of 408, 652, 766, 746?

We can find the highest common divisor of 408, 652, 766, 746 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 408, 652, 766, 746 i.e 2.

3. How can I use the GCD of 408, 652, 766, 746Calculator?

Out the numbers 408, 652, 766, 746 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.