GCD of 914, 490, 742, 990 Calculator

Given Input numbers are 914, 490, 742, 990

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

Divisors of 914 :

The positive integer divisors of 914 that completely divides 914 are.

1, 2, 457, 914

Divisors of 490 :

The positive integer divisors of 490 that completely divides 490 are.

1, 2, 5, 7, 10, 14, 35, 49, 70, 98, 245, 490

Divisors of 742 :

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

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

Divisors of 990 :

The positive integer divisors of 990 that completely divides 990 are.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990

GCD of numbers is the greatest common divisor

So, the GCD (914, 490, 742, 990) = 2.

Given numbers are 914, 490, 742, 990

The list of prime factors of all numbers are

Prime factors of 914 are 2 x 457

Prime factors of 490 are 2 x 5 x 7 x 7

Prime factors of 742 are 2 x 7 x 53

Prime factors of 990 are 2 x 3 x 3 x 5 x 11

The highest common occurrence is 2¹

Therefore, GCD of 914, 490, 742, 990 is 2.

Given numbers are 914, 490, 742, 990

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

Apply this formula for all numbers.

Step1:

LCM(914, 490) = 223930

GCD(914, 490) = ( 914 x 490 ) / 223930

= 914 / 490

= 914

Step2:

LCM(2, 742) = 742

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

= 2 / 742

= 2

Step3:

LCM(2, 990) = 990

GCD(2, 990) = ( 2 x 990 ) / 990

= 2 / 990

= 2

So, Greatest Common Divisor of 914, 490, 742, 990 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 449, 916, 691, 473
• GCD of 200, 120, 666, 843
• GCD of 940, 164, 434, 246
• GCD of 615, 509, 340, 326
• GCD of 772, 697, 392, 221

Given numbers are 914, 490, 742, 990
The greatest common divisor of numbers 914, 490, 742, 990 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 914, 490, 742, 990 is 2.

1. What is the GCD of 914, 490, 742, 990?

GCD of given numbers 914, 490, 742, 990 is 2

2. How to calculate the greatest common divisor of 914, 490, 742, 990?

We can find the highest common divisor of 914, 490, 742, 990 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 914, 490, 742, 990 i.e 2.

3. How can I use the GCD of 914, 490, 742, 990Calculator?

Out the numbers 914, 490, 742, 990 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.