GCD of 958, 516, 138, 360 Calculator

Given Input numbers are 958, 516, 138, 360

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

Divisors of 958 :

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

1, 2, 479, 958

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

Divisors of 138 :

The positive integer divisors of 138 that completely divides 138 are.

1, 2, 3, 6, 23, 46, 69, 138

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (958, 516, 138, 360) = 2.

Given numbers are 958, 516, 138, 360

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 516 are 2 x 2 x 3 x 43

Prime factors of 138 are 2 x 3 x 23

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 958, 516, 138, 360 is 2.

Given numbers are 958, 516, 138, 360

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

Apply this formula for all numbers.

Step1:

LCM(958, 516) = 247164

GCD(958, 516) = ( 958 x 516 ) / 247164

= 958 / 516

= 958

Step2:

LCM(2, 138) = 138

GCD(2, 138) = ( 2 x 138 ) / 138

= 2 / 138

= 2

Step3:

LCM(2, 360) = 360

GCD(2, 360) = ( 2 x 360 ) / 360

= 2 / 360

= 2

So, Greatest Common Divisor of 958, 516, 138, 360 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 881, 178, 593, 899
• GCD of 852, 533, 837, 971
• GCD of 609, 571, 397, 901
• GCD of 245, 805, 645, 687
• GCD of 920, 736, 879, 456

Given numbers are 958, 516, 138, 360
The greatest common divisor of numbers 958, 516, 138, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 516, 138, 360 is 2.

1. What is the GCD of 958, 516, 138, 360?

GCD of given numbers 958, 516, 138, 360 is 2

2. How to calculate the greatest common divisor of 958, 516, 138, 360?

We can find the highest common divisor of 958, 516, 138, 360 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 958, 516, 138, 360 i.e 2.

3. How can I use the GCD of 958, 516, 138, 360Calculator?

Out the numbers 958, 516, 138, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.