GCD of 958, 310, 442, 574 Calculator

Given Input numbers are 958, 310, 442, 574

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 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

Divisors of 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

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 (958, 310, 442, 574) = 2.

Given numbers are 958, 310, 442, 574

The list of prime factors of all numbers are

Prime factors of 958 are 2 x 479

Prime factors of 310 are 2 x 5 x 31

Prime factors of 442 are 2 x 13 x 17

Prime factors of 574 are 2 x 7 x 41

The highest common occurrence is 2¹

Therefore, GCD of 958, 310, 442, 574 is 2.

Given numbers are 958, 310, 442, 574

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

Apply this formula for all numbers.

Step1:

LCM(958, 310) = 148490

GCD(958, 310) = ( 958 x 310 ) / 148490

= 958 / 310

= 958

Step2:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

Step3:

LCM(2, 574) = 574

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

= 2 / 574

= 2

So, Greatest Common Divisor of 958, 310, 442, 574 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 807, 173, 851
• GCD of 520, 314, 390, 916
• GCD of 725, 587, 910, 179
• GCD of 913, 124, 735, 433
• GCD of 572, 494, 896, 778

Given numbers are 958, 310, 442, 574
The greatest common divisor of numbers 958, 310, 442, 574 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 958, 310, 442, 574 is 2.

1. What is the GCD of 958, 310, 442, 574?

GCD of given numbers 958, 310, 442, 574 is 2

2. How to calculate the greatest common divisor of 958, 310, 442, 574?

We can find the highest common divisor of 958, 310, 442, 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 958, 310, 442, 574 i.e 2.

3. How can I use the GCD of 958, 310, 442, 574Calculator?

Out the numbers 958, 310, 442, 574 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.