GCD of 960, 630, 616, 574 Calculator

Given Input numbers are 960, 630, 616, 574

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

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 630 :

The positive integer divisors of 630 that completely divides 630 are.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 574 :

The positive integer divisors of 574 that completely divides 574 are.

1, 2, 7, 14, 41, 82, 287, 574

GCD of numbers is the greatest common divisor

So, the GCD (960, 630, 616, 574) = 2.

Given numbers are 960, 630, 616, 574

The list of prime factors of all numbers are

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

Prime factors of 630 are 2 x 3 x 3 x 5 x 7

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 960, 630, 616, 574 is 2.

Given numbers are 960, 630, 616, 574

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

Apply this formula for all numbers.

Step1:

LCM(960, 630) = 20160

GCD(960, 630) = ( 960 x 630 ) / 20160

= 960 / 630

= 960

Step2:

LCM(30, 616) = 9240

GCD(30, 616) = ( 30 x 616 ) / 9240

= 30 / 616

= 30

Step3:

LCM(2, 574) = 574

GCD(2, 574) = ( 2 x 574 ) / 574

= 2 / 574

= 2

So, Greatest Common Divisor of 960, 630, 616, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 451, 315, 393, 804
• GCD of 838, 335, 337, 633
• GCD of 393, 341, 687, 467
• GCD of 766, 603, 648, 944
• GCD of 407, 758, 104, 179

Given numbers are 960, 630, 616, 574
The greatest common divisor of numbers 960, 630, 616, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 630, 616, 574 is 2.

1. What is the GCD of 960, 630, 616, 574?

GCD of given numbers 960, 630, 616, 574 is 2

2. How to calculate the greatest common divisor of 960, 630, 616, 574?

We can find the highest common divisor of 960, 630, 616, 574 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 960, 630, 616, 574 i.e 2.

3. How can I use the GCD of 960, 630, 616, 574Calculator?

Out the numbers 960, 630, 616, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.