GCD of 468, 516, 749, 946 Calculator

Given Input numbers are 468, 516, 749, 946

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

Divisors of 468 :

The positive integer divisors of 468 that completely divides 468 are.

1, 2, 3, 4, 6, 9, 12, 13, 18, 26, 36, 39, 52, 78, 117, 156, 234, 468

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

Divisors of 946 :

The positive integer divisors of 946 that completely divides 946 are.

1, 2, 11, 22, 43, 86, 473, 946

GCD of numbers is the greatest common divisor

So, the GCD (468, 516, 749, 946) = 1.

Given numbers are 468, 516, 749, 946

The list of prime factors of all numbers are

Prime factors of 468 are 2 x 2 x 3 x 3 x 13

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 749 are 7 x 107

Prime factors of 946 are 2 x 11 x 43

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 468, 516, 749, 946

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

Apply this formula for all numbers.

Step1:

LCM(468, 516) = 20124

GCD(468, 516) = ( 468 x 516 ) / 20124

= 468 / 516

= 468

Step2:

LCM(12, 749) = 8988

GCD(12, 749) = ( 12 x 749 ) / 8988

= 12 / 749

= 12

Step3:

LCM(1, 946) = 946

GCD(1, 946) = ( 1 x 946 ) / 946

= 1 / 946

= 1

So, Greatest Common Divisor of 468, 516, 749, 946 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 596, 102, 236, 294
• GCD of 454, 588, 327, 112
• GCD of 188, 830, 711, 224
• GCD of 551, 709, 373, 782
• GCD of 101, 639, 842, 288

Given numbers are 468, 516, 749, 946
The greatest common divisor of numbers 468, 516, 749, 946 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 468, 516, 749, 946 is 1.

1. What is the GCD of 468, 516, 749, 946?

GCD of given numbers 468, 516, 749, 946 is 1

2. How to calculate the greatest common divisor of 468, 516, 749, 946?

We can find the highest common divisor of 468, 516, 749, 946 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 468, 516, 749, 946 i.e 1.

3. How can I use the GCD of 468, 516, 749, 946Calculator?

Out the numbers 468, 516, 749, 946 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.