GCD of 370, 960, 424, 706 Calculator

Given Input numbers are 370, 960, 424, 706

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 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 706 :

The positive integer divisors of 706 that completely divides 706 are.

1, 2, 353, 706

GCD of numbers is the greatest common divisor

So, the GCD (370, 960, 424, 706) = 2.

Given numbers are 370, 960, 424, 706

The list of prime factors of all numbers are

Prime factors of 370 are 2 x 5 x 37

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 706 are 2 x 353

The highest common occurrence is 2¹

Therefore, GCD of 370, 960, 424, 706 is 2.

Given numbers are 370, 960, 424, 706

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

Apply this formula for all numbers.

Step1:

LCM(370, 960) = 35520

GCD(370, 960) = ( 370 x 960 ) / 35520

= 370 / 960

= 370

Step2:

LCM(10, 424) = 2120

GCD(10, 424) = ( 10 x 424 ) / 2120

= 10 / 424

= 10

Step3:

LCM(2, 706) = 706

GCD(2, 706) = ( 2 x 706 ) / 706

= 2 / 706

= 2

So, Greatest Common Divisor of 370, 960, 424, 706 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 753, 564, 696, 740
• GCD of 712, 802, 338, 324
• GCD of 235, 664, 743, 870
• GCD of 892, 471, 358, 868
• GCD of 202, 674, 875, 476

Given numbers are 370, 960, 424, 706
The greatest common divisor of numbers 370, 960, 424, 706 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 370, 960, 424, 706 is 2.

1. What is the GCD of 370, 960, 424, 706?

GCD of given numbers 370, 960, 424, 706 is 2

2. How to calculate the greatest common divisor of 370, 960, 424, 706?

We can find the highest common divisor of 370, 960, 424, 706 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, 960, 424, 706 i.e 2.

3. How can I use the GCD of 370, 960, 424, 706Calculator?

Out the numbers 370, 960, 424, 706 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.