GCD of 252, 890, 742, 426 Calculator

Given Input numbers are 252, 890, 742, 426

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

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

Divisors of 890 :

The positive integer divisors of 890 that completely divides 890 are.

1, 2, 5, 10, 89, 178, 445, 890

Divisors of 742 :

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

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

Divisors of 426 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (252, 890, 742, 426) = 2.

Given numbers are 252, 890, 742, 426

The list of prime factors of all numbers are

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

Prime factors of 890 are 2 x 5 x 89

Prime factors of 742 are 2 x 7 x 53

Prime factors of 426 are 2 x 3 x 71

The highest common occurrence is 2¹

Therefore, GCD of 252, 890, 742, 426 is 2.

Given numbers are 252, 890, 742, 426

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

Apply this formula for all numbers.

Step1:

LCM(252, 890) = 112140

GCD(252, 890) = ( 252 x 890 ) / 112140

= 252 / 890

= 252

Step2:

LCM(2, 742) = 742

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

= 2 / 742

= 2

Step3:

LCM(2, 426) = 426

GCD(2, 426) = ( 2 x 426 ) / 426

= 2 / 426

= 2

So, Greatest Common Divisor of 252, 890, 742, 426 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 242, 963, 481, 837
• GCD of 225, 599, 270, 288
• GCD of 156, 394, 692, 299
• GCD of 525, 191, 682, 896
• GCD of 110, 294, 658, 799

Given numbers are 252, 890, 742, 426
The greatest common divisor of numbers 252, 890, 742, 426 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 252, 890, 742, 426 is 2.

1. What is the GCD of 252, 890, 742, 426?

GCD of given numbers 252, 890, 742, 426 is 2

2. How to calculate the greatest common divisor of 252, 890, 742, 426?

We can find the highest common divisor of 252, 890, 742, 426 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 252, 890, 742, 426 i.e 2.

3. How can I use the GCD of 252, 890, 742, 426Calculator?

Out the numbers 252, 890, 742, 426 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.