GCD of 832, 172, 426, 742 Calculator

Given Input numbers are 832, 172, 426, 742

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

Divisors of 832 :

The positive integer divisors of 832 that completely divides 832 are.

1, 2, 4, 8, 13, 16, 26, 32, 52, 64, 104, 208, 416, 832

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

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 (832, 172, 426, 742) = 2.

Given numbers are 832, 172, 426, 742

The list of prime factors of all numbers are

Prime factors of 832 are 2 x 2 x 2 x 2 x 2 x 2 x 13

Prime factors of 172 are 2 x 2 x 43

Prime factors of 426 are 2 x 3 x 71

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 832, 172, 426, 742 is 2.

Given numbers are 832, 172, 426, 742

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

Apply this formula for all numbers.

Step1:

LCM(832, 172) = 35776

GCD(832, 172) = ( 832 x 172 ) / 35776

= 832 / 172

= 832

Step2:

LCM(4, 426) = 852

GCD(4, 426) = ( 4 x 426 ) / 852

= 4 / 426

= 4

Step3:

LCM(2, 742) = 742

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

= 2 / 742

= 2

So, Greatest Common Divisor of 832, 172, 426, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 472, 620, 957, 979
• GCD of 248, 924, 362, 809
• GCD of 752, 876, 258, 595
• GCD of 944, 624, 862, 453
• GCD of 983, 375, 218, 610

Given numbers are 832, 172, 426, 742
The greatest common divisor of numbers 832, 172, 426, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 832, 172, 426, 742 is 2.

1. What is the GCD of 832, 172, 426, 742?

GCD of given numbers 832, 172, 426, 742 is 2

2. How to calculate the greatest common divisor of 832, 172, 426, 742?

We can find the highest common divisor of 832, 172, 426, 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 832, 172, 426, 742 i.e 2.

3. How can I use the GCD of 832, 172, 426, 742Calculator?

Out the numbers 832, 172, 426, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.