GCD of 742, 950, 804, 108 Calculator

Given Input numbers are 742, 950, 804, 108

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 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 804 :

The positive integer divisors of 804 that completely divides 804 are.

1, 2, 3, 4, 6, 12, 67, 134, 201, 268, 402, 804

Divisors of 108 :

The positive integer divisors of 108 that completely divides 108 are.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108

GCD of numbers is the greatest common divisor

So, the GCD (742, 950, 804, 108) = 2.

Given numbers are 742, 950, 804, 108

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 804 are 2 x 2 x 3 x 67

Prime factors of 108 are 2 x 2 x 3 x 3 x 3

The highest common occurrence is 2¹

Therefore, GCD of 742, 950, 804, 108 is 2.

Given numbers are 742, 950, 804, 108

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

Apply this formula for all numbers.

Step1:

LCM(742, 950) = 352450

GCD(742, 950) = ( 742 x 950 ) / 352450

= 742 / 950

= 742

Step2:

LCM(2, 804) = 804

GCD(2, 804) = ( 2 x 804 ) / 804

= 2 / 804

= 2

Step3:

LCM(2, 108) = 108

GCD(2, 108) = ( 2 x 108 ) / 108

= 2 / 108

= 2

So, Greatest Common Divisor of 742, 950, 804, 108 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 113, 571, 312, 251
• GCD of 634, 912, 533, 565
• GCD of 650, 937, 841, 896
• GCD of 349, 904, 925, 464
• GCD of 297, 551, 833, 586

Given numbers are 742, 950, 804, 108
The greatest common divisor of numbers 742, 950, 804, 108 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 950, 804, 108 is 2.

1. What is the GCD of 742, 950, 804, 108?

GCD of given numbers 742, 950, 804, 108 is 2

2. How to calculate the greatest common divisor of 742, 950, 804, 108?

We can find the highest common divisor of 742, 950, 804, 108 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, 950, 804, 108 i.e 2.

3. How can I use the GCD of 742, 950, 804, 108Calculator?

Out the numbers 742, 950, 804, 108 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.