GCD of 956, 578, 104, 742 Calculator

Given Input numbers are 956, 578, 104, 742

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

Divisors of 956 :

The positive integer divisors of 956 that completely divides 956 are.

1, 2, 4, 239, 478, 956

Divisors of 578 :

The positive integer divisors of 578 that completely divides 578 are.

1, 2, 17, 34, 289, 578

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (956, 578, 104, 742) = 2.

Given numbers are 956, 578, 104, 742

The list of prime factors of all numbers are

Prime factors of 956 are 2 x 2 x 239

Prime factors of 578 are 2 x 17 x 17

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 956, 578, 104, 742 is 2.

Given numbers are 956, 578, 104, 742

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

Apply this formula for all numbers.

Step1:

LCM(956, 578) = 276284

GCD(956, 578) = ( 956 x 578 ) / 276284

= 956 / 578

= 956

Step2:

LCM(2, 104) = 104

GCD(2, 104) = ( 2 x 104 ) / 104

= 2 / 104

= 2

Step3:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 956, 578, 104, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 439, 657, 938, 318
• GCD of 365, 595, 153, 328
• GCD of 256, 624, 607, 333
• GCD of 366, 298, 807, 271
• GCD of 809, 524, 635, 421

Given numbers are 956, 578, 104, 742
The greatest common divisor of numbers 956, 578, 104, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 956, 578, 104, 742 is 2.

1. What is the GCD of 956, 578, 104, 742?

GCD of given numbers 956, 578, 104, 742 is 2

2. How to calculate the greatest common divisor of 956, 578, 104, 742?

We can find the highest common divisor of 956, 578, 104, 742 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 956, 578, 104, 742 i.e 2.

3. How can I use the GCD of 956, 578, 104, 742Calculator?

Out the numbers 956, 578, 104, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.