GCD of 742, 464, 842, 886 Calculator

Given Input numbers are 742, 464, 842, 886

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 464 :

The positive integer divisors of 464 that completely divides 464 are.

1, 2, 4, 8, 16, 29, 58, 116, 232, 464

Divisors of 842 :

The positive integer divisors of 842 that completely divides 842 are.

1, 2, 421, 842

Divisors of 886 :

The positive integer divisors of 886 that completely divides 886 are.

1, 2, 443, 886

GCD of numbers is the greatest common divisor

So, the GCD (742, 464, 842, 886) = 2.

Given numbers are 742, 464, 842, 886

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 464 are 2 x 2 x 2 x 2 x 29

Prime factors of 842 are 2 x 421

Prime factors of 886 are 2 x 443

The highest common occurrence is 2¹

Therefore, GCD of 742, 464, 842, 886 is 2.

Given numbers are 742, 464, 842, 886

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

Apply this formula for all numbers.

Step1:

LCM(742, 464) = 172144

GCD(742, 464) = ( 742 x 464 ) / 172144

= 742 / 464

= 742

Step2:

LCM(2, 842) = 842

GCD(2, 842) = ( 2 x 842 ) / 842

= 2 / 842

= 2

Step3:

LCM(2, 886) = 886

GCD(2, 886) = ( 2 x 886 ) / 886

= 2 / 886

= 2

So, Greatest Common Divisor of 742, 464, 842, 886 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 192, 292, 888
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• GCD of 718, 994, 388, 579

Given numbers are 742, 464, 842, 886
The greatest common divisor of numbers 742, 464, 842, 886 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 464, 842, 886 is 2.

1. What is the GCD of 742, 464, 842, 886?

GCD of given numbers 742, 464, 842, 886 is 2

2. How to calculate the greatest common divisor of 742, 464, 842, 886?

We can find the highest common divisor of 742, 464, 842, 886 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, 464, 842, 886 i.e 2.

3. How can I use the GCD of 742, 464, 842, 886Calculator?

Out the numbers 742, 464, 842, 886 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.