GCD of 460, 852, 690, 562 Calculator

Given Input numbers are 460, 852, 690, 562

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

Divisors of 460 :

The positive integer divisors of 460 that completely divides 460 are.

1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 230, 460

Divisors of 852 :

The positive integer divisors of 852 that completely divides 852 are.

1, 2, 3, 4, 6, 12, 71, 142, 213, 284, 426, 852

Divisors of 690 :

The positive integer divisors of 690 that completely divides 690 are.

1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690

Divisors of 562 :

The positive integer divisors of 562 that completely divides 562 are.

1, 2, 281, 562

GCD of numbers is the greatest common divisor

So, the GCD (460, 852, 690, 562) = 2.

Given numbers are 460, 852, 690, 562

The list of prime factors of all numbers are

Prime factors of 460 are 2 x 2 x 5 x 23

Prime factors of 852 are 2 x 2 x 3 x 71

Prime factors of 690 are 2 x 3 x 5 x 23

Prime factors of 562 are 2 x 281

The highest common occurrence is 2¹

Therefore, GCD of 460, 852, 690, 562 is 2.

Given numbers are 460, 852, 690, 562

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

Apply this formula for all numbers.

Step1:

LCM(460, 852) = 97980

GCD(460, 852) = ( 460 x 852 ) / 97980

= 460 / 852

= 460

Step2:

LCM(4, 690) = 1380

GCD(4, 690) = ( 4 x 690 ) / 1380

= 4 / 690

= 4

Step3:

LCM(2, 562) = 562

GCD(2, 562) = ( 2 x 562 ) / 562

= 2 / 562

= 2

So, Greatest Common Divisor of 460, 852, 690, 562 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 496, 982, 406, 528
• GCD of 740, 859, 945, 752
• GCD of 955, 591, 213, 341
• GCD of 831, 488, 671, 896
• GCD of 553, 600, 511, 162

Given numbers are 460, 852, 690, 562
The greatest common divisor of numbers 460, 852, 690, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 460, 852, 690, 562 is 2.

1. What is the GCD of 460, 852, 690, 562?

GCD of given numbers 460, 852, 690, 562 is 2

2. How to calculate the greatest common divisor of 460, 852, 690, 562?

We can find the highest common divisor of 460, 852, 690, 562 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 460, 852, 690, 562 i.e 2.

3. How can I use the GCD of 460, 852, 690, 562Calculator?

Out the numbers 460, 852, 690, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.