GCD of 742, 225, 102, 924 Calculator

Given Input numbers are 742, 225, 102, 924

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 225 :

The positive integer divisors of 225 that completely divides 225 are.

1, 3, 5, 9, 15, 25, 45, 75, 225

Divisors of 102 :

The positive integer divisors of 102 that completely divides 102 are.

1, 2, 3, 6, 17, 34, 51, 102

Divisors of 924 :

The positive integer divisors of 924 that completely divides 924 are.

1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924

GCD of numbers is the greatest common divisor

So, the GCD (742, 225, 102, 924) = 1.

Given numbers are 742, 225, 102, 924

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 225 are 3 x 3 x 5 x 5

Prime factors of 102 are 2 x 3 x 17

Prime factors of 924 are 2 x 2 x 3 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 742, 225, 102, 924

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

Apply this formula for all numbers.

Step1:

LCM(742, 225) = 166950

GCD(742, 225) = ( 742 x 225 ) / 166950

= 742 / 225

= 742

Step2:

LCM(1, 102) = 102

GCD(1, 102) = ( 1 x 102 ) / 102

= 1 / 102

= 1

Step3:

LCM(1, 924) = 924

GCD(1, 924) = ( 1 x 924 ) / 924

= 1 / 924

= 1

So, Greatest Common Divisor of 742, 225, 102, 924 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 171, 158, 406, 723
• GCD of 713, 136, 879, 712
• GCD of 889, 479, 154, 885
• GCD of 166, 747, 168, 993
• GCD of 942, 354, 518, 733

Given numbers are 742, 225, 102, 924
The greatest common divisor of numbers 742, 225, 102, 924 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 225, 102, 924 is 1.

1. What is the GCD of 742, 225, 102, 924?

GCD of given numbers 742, 225, 102, 924 is 1

2. How to calculate the greatest common divisor of 742, 225, 102, 924?

We can find the highest common divisor of 742, 225, 102, 924 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, 225, 102, 924 i.e 1.

3. How can I use the GCD of 742, 225, 102, 924Calculator?

Out the numbers 742, 225, 102, 924 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.