GCD of 550, 742, 748, 944 Calculator

Given Input numbers are 550, 742, 748, 944

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

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 742 :

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

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

Divisors of 944 :

The positive integer divisors of 944 that completely divides 944 are.

1, 2, 4, 8, 16, 59, 118, 236, 472, 944

GCD of numbers is the greatest common divisor

So, the GCD (550, 742, 748, 944) = 2.

Given numbers are 550, 742, 748, 944

The list of prime factors of all numbers are

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 742 are 2 x 7 x 53

Prime factors of 748 are 2 x 2 x 11 x 17

Prime factors of 944 are 2 x 2 x 2 x 2 x 59

The highest common occurrence is 2¹

Therefore, GCD of 550, 742, 748, 944 is 2.

Given numbers are 550, 742, 748, 944

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

Apply this formula for all numbers.

Step1:

LCM(550, 742) = 204050

GCD(550, 742) = ( 550 x 742 ) / 204050

= 550 / 742

= 550

Step2:

LCM(2, 748) = 748

GCD(2, 748) = ( 2 x 748 ) / 748

= 2 / 748

= 2

Step3:

LCM(2, 944) = 944

GCD(2, 944) = ( 2 x 944 ) / 944

= 2 / 944

= 2

So, Greatest Common Divisor of 550, 742, 748, 944 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 536, 759, 631, 994
• GCD of 124, 201, 403, 616
• GCD of 602, 148, 669, 824
• GCD of 122, 876, 113, 443
• GCD of 219, 281, 168, 824

Given numbers are 550, 742, 748, 944
The greatest common divisor of numbers 550, 742, 748, 944 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 550, 742, 748, 944 is 2.

1. What is the GCD of 550, 742, 748, 944?

GCD of given numbers 550, 742, 748, 944 is 2

2. How to calculate the greatest common divisor of 550, 742, 748, 944?

We can find the highest common divisor of 550, 742, 748, 944 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 550, 742, 748, 944 i.e 2.

3. How can I use the GCD of 550, 742, 748, 944Calculator?

Out the numbers 550, 742, 748, 944 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.