GCD of 422, 742, 614, 848 Calculator

Given Input numbers are 422, 742, 614, 848

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

Divisors of 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

Divisors of 742 :

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

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

Divisors of 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 848 :

The positive integer divisors of 848 that completely divides 848 are.

1, 2, 4, 8, 16, 53, 106, 212, 424, 848

GCD of numbers is the greatest common divisor

So, the GCD (422, 742, 614, 848) = 2.

Given numbers are 422, 742, 614, 848

The list of prime factors of all numbers are

Prime factors of 422 are 2 x 211

Prime factors of 742 are 2 x 7 x 53

Prime factors of 614 are 2 x 307

Prime factors of 848 are 2 x 2 x 2 x 2 x 53

The highest common occurrence is 2¹

Therefore, GCD of 422, 742, 614, 848 is 2.

Given numbers are 422, 742, 614, 848

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

Apply this formula for all numbers.

Step1:

LCM(422, 742) = 156562

GCD(422, 742) = ( 422 x 742 ) / 156562

= 422 / 742

= 422

Step2:

LCM(2, 614) = 614

GCD(2, 614) = ( 2 x 614 ) / 614

= 2 / 614

= 2

Step3:

LCM(2, 848) = 848

GCD(2, 848) = ( 2 x 848 ) / 848

= 2 / 848

= 2

So, Greatest Common Divisor of 422, 742, 614, 848 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 209, 218, 266, 490
• GCD of 542, 527, 814, 285
• GCD of 625, 726, 683, 190
• GCD of 819, 667, 958, 759
• GCD of 566, 994, 807, 744

Given numbers are 422, 742, 614, 848
The greatest common divisor of numbers 422, 742, 614, 848 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 422, 742, 614, 848 is 2.

1. What is the GCD of 422, 742, 614, 848?

GCD of given numbers 422, 742, 614, 848 is 2

2. How to calculate the greatest common divisor of 422, 742, 614, 848?

We can find the highest common divisor of 422, 742, 614, 848 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 422, 742, 614, 848 i.e 2.

3. How can I use the GCD of 422, 742, 614, 848Calculator?

Out the numbers 422, 742, 614, 848 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.