GCD of 742, 472, 168, 826 Calculator

Given Input numbers are 742, 472, 168, 826

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

Divisors of 742 :

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

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 168 :

The positive integer divisors of 168 that completely divides 168 are.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168

Divisors of 826 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (742, 472, 168, 826) = 2.

Given numbers are 742, 472, 168, 826

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 168 are 2 x 2 x 2 x 3 x 7

Prime factors of 826 are 2 x 7 x 59

The highest common occurrence is 2¹

Therefore, GCD of 742, 472, 168, 826 is 2.

Given numbers are 742, 472, 168, 826

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

Apply this formula for all numbers.

Step1:

LCM(742, 472) = 175112

GCD(742, 472) = ( 742 x 472 ) / 175112

= 742 / 472

= 742

Step2:

LCM(2, 168) = 168

GCD(2, 168) = ( 2 x 168 ) / 168

= 2 / 168

= 2

Step3:

LCM(2, 826) = 826

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

= 2 / 826

= 2

So, Greatest Common Divisor of 742, 472, 168, 826 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 163, 604, 790, 442
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Given numbers are 742, 472, 168, 826
The greatest common divisor of numbers 742, 472, 168, 826 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 472, 168, 826 is 2.

1. What is the GCD of 742, 472, 168, 826?

GCD of given numbers 742, 472, 168, 826 is 2

2. How to calculate the greatest common divisor of 742, 472, 168, 826?

We can find the highest common divisor of 742, 472, 168, 826 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 742, 472, 168, 826 i.e 2.

3. How can I use the GCD of 742, 472, 168, 826Calculator?

Out the numbers 742, 472, 168, 826 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.