GCD of 472, 782, 340, 452 Calculator

Given Input numbers are 472, 782, 340, 452

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

Divisors of 452 :

The positive integer divisors of 452 that completely divides 452 are.

1, 2, 4, 113, 226, 452

GCD of numbers is the greatest common divisor

So, the GCD (472, 782, 340, 452) = 2.

Given numbers are 472, 782, 340, 452

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 782 are 2 x 17 x 23

Prime factors of 340 are 2 x 2 x 5 x 17

Prime factors of 452 are 2 x 2 x 113

The highest common occurrence is 2¹

Therefore, GCD of 472, 782, 340, 452 is 2.

Given numbers are 472, 782, 340, 452

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

Apply this formula for all numbers.

Step1:

LCM(472, 782) = 184552

GCD(472, 782) = ( 472 x 782 ) / 184552

= 472 / 782

= 472

Step2:

LCM(2, 340) = 340

GCD(2, 340) = ( 2 x 340 ) / 340

= 2 / 340

= 2

Step3:

LCM(2, 452) = 452

GCD(2, 452) = ( 2 x 452 ) / 452

= 2 / 452

= 2

So, Greatest Common Divisor of 472, 782, 340, 452 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 836, 602, 772, 147
• GCD of 628, 481, 320, 562
• GCD of 558, 633, 254, 142
• GCD of 269, 887, 451, 362
• GCD of 771, 269, 874, 102

Given numbers are 472, 782, 340, 452
The greatest common divisor of numbers 472, 782, 340, 452 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 782, 340, 452 is 2.

1. What is the GCD of 472, 782, 340, 452?

GCD of given numbers 472, 782, 340, 452 is 2

2. How to calculate the greatest common divisor of 472, 782, 340, 452?

We can find the highest common divisor of 472, 782, 340, 452 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 472, 782, 340, 452 i.e 2.

3. How can I use the GCD of 472, 782, 340, 452Calculator?

Out the numbers 472, 782, 340, 452 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.