GCD of 960, 958, 826, 986 Calculator

Given Input numbers are 960, 958, 826, 986

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 958 :

The positive integer divisors of 958 that completely divides 958 are.

1, 2, 479, 958

Divisors of 826 :

The positive integer divisors of 826 that completely divides 826 are.

1, 2, 7, 14, 59, 118, 413, 826

Divisors of 986 :

The positive integer divisors of 986 that completely divides 986 are.

1, 2, 17, 29, 34, 58, 493, 986

GCD of numbers is the greatest common divisor

So, the GCD (960, 958, 826, 986) = 2.

Given numbers are 960, 958, 826, 986

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 958 are 2 x 479

Prime factors of 826 are 2 x 7 x 59

Prime factors of 986 are 2 x 17 x 29

The highest common occurrence is 2¹

Therefore, GCD of 960, 958, 826, 986 is 2.

Given numbers are 960, 958, 826, 986

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

Apply this formula for all numbers.

Step1:

LCM(960, 958) = 459840

GCD(960, 958) = ( 960 x 958 ) / 459840

= 960 / 958

= 960

Step2:

LCM(2, 826) = 826

GCD(2, 826) = ( 2 x 826 ) / 826

= 2 / 826

= 2

Step3:

LCM(2, 986) = 986

GCD(2, 986) = ( 2 x 986 ) / 986

= 2 / 986

= 2

So, Greatest Common Divisor of 960, 958, 826, 986 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 455, 126, 722, 490
• GCD of 472, 433, 996, 583
• GCD of 602, 570, 632, 537
• GCD of 168, 619, 563, 762
• GCD of 330, 472, 161, 787

Given numbers are 960, 958, 826, 986
The greatest common divisor of numbers 960, 958, 826, 986 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 960, 958, 826, 986 is 2.

1. What is the GCD of 960, 958, 826, 986?

GCD of given numbers 960, 958, 826, 986 is 2

2. How to calculate the greatest common divisor of 960, 958, 826, 986?

We can find the highest common divisor of 960, 958, 826, 986 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, 958, 826, 986 i.e 2.

3. How can I use the GCD of 960, 958, 826, 986Calculator?

Out the numbers 960, 958, 826, 986 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.