GCD of 370, 852, 474, 658 Calculator

Given Input numbers are 370, 852, 474, 658

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

Divisors of 370 :

The positive integer divisors of 370 that completely divides 370 are.

1, 2, 5, 10, 37, 74, 185, 370

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 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

Divisors of 658 :

The positive integer divisors of 658 that completely divides 658 are.

1, 2, 7, 14, 47, 94, 329, 658

GCD of numbers is the greatest common divisor

So, the GCD (370, 852, 474, 658) = 2.

Given numbers are 370, 852, 474, 658

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

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

Prime factors of 474 are 2 x 3 x 79

Prime factors of 658 are 2 x 7 x 47

The highest common occurrence is 2¹

Therefore, GCD of 370, 852, 474, 658 is 2.

Given numbers are 370, 852, 474, 658

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

Apply this formula for all numbers.

Step1:

LCM(370, 852) = 157620

GCD(370, 852) = ( 370 x 852 ) / 157620

= 370 / 852

= 370

Step2:

LCM(2, 474) = 474

GCD(2, 474) = ( 2 x 474 ) / 474

= 2 / 474

= 2

Step3:

LCM(2, 658) = 658

GCD(2, 658) = ( 2 x 658 ) / 658

= 2 / 658

= 2

So, Greatest Common Divisor of 370, 852, 474, 658 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 160, 845, 820, 862
• GCD of 747, 417, 117, 773
• GCD of 966, 314, 261, 717
• GCD of 850, 931, 767, 648
• GCD of 685, 894, 369, 570

Given numbers are 370, 852, 474, 658
The greatest common divisor of numbers 370, 852, 474, 658 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 852, 474, 658 is 2.

1. What is the GCD of 370, 852, 474, 658?

GCD of given numbers 370, 852, 474, 658 is 2

2. How to calculate the greatest common divisor of 370, 852, 474, 658?

We can find the highest common divisor of 370, 852, 474, 658 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 370, 852, 474, 658 i.e 2.

3. How can I use the GCD of 370, 852, 474, 658Calculator?

Out the numbers 370, 852, 474, 658 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.