GCD of 464, 292, 712, 382 Calculator

Given Input numbers are 464, 292, 712, 382

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

Divisors of 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 292 :

The positive integer divisors of 292 that completely divides 292 are.

1, 2, 4, 73, 146, 292

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

Divisors of 382 :

The positive integer divisors of 382 that completely divides 382 are.

1, 2, 191, 382

GCD of numbers is the greatest common divisor

So, the GCD (464, 292, 712, 382) = 2.

Given numbers are 464, 292, 712, 382

The list of prime factors of all numbers are

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 292 are 2 x 2 x 73

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 382 are 2 x 191

The highest common occurrence is 2¹

Therefore, GCD of 464, 292, 712, 382 is 2.

Given numbers are 464, 292, 712, 382

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

Apply this formula for all numbers.

Step1:

LCM(464, 292) = 33872

GCD(464, 292) = ( 464 x 292 ) / 33872

= 464 / 292

= 464

Step2:

LCM(4, 712) = 712

GCD(4, 712) = ( 4 x 712 ) / 712

= 4 / 712

= 4

Step3:

LCM(4, 382) = 764

GCD(4, 382) = ( 4 x 382 ) / 764

= 4 / 382

= 4

So, Greatest Common Divisor of 464, 292, 712, 382 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 517, 899, 279, 763
• GCD of 251, 297, 231, 620
• GCD of 250, 626, 118, 902
• GCD of 295, 719, 953, 320
• GCD of 325, 110, 867, 273

Given numbers are 464, 292, 712, 382
The greatest common divisor of numbers 464, 292, 712, 382 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 464, 292, 712, 382 is 2.

1. What is the GCD of 464, 292, 712, 382?

GCD of given numbers 464, 292, 712, 382 is 2

2. How to calculate the greatest common divisor of 464, 292, 712, 382?

We can find the highest common divisor of 464, 292, 712, 382 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 464, 292, 712, 382 i.e 2.

3. How can I use the GCD of 464, 292, 712, 382Calculator?

Out the numbers 464, 292, 712, 382 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.