GCD of 742, 924, 63, 144 Calculator

Given Input numbers are 742, 924, 63, 144

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 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

Divisors of 63 :

The positive integer divisors of 63 that completely divides 63 are.

1, 3, 7, 9, 21, 63

Divisors of 144 :

The positive integer divisors of 144 that completely divides 144 are.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144

GCD of numbers is the greatest common divisor

So, the GCD (742, 924, 63, 144) = 1.

Given numbers are 742, 924, 63, 144

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

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

Prime factors of 63 are 3 x 3 x 7

Prime factors of 144 are 2 x 2 x 2 x 2 x 3 x 3

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

Given numbers are 742, 924, 63, 144

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

Apply this formula for all numbers.

Step1:

LCM(742, 924) = 48972

GCD(742, 924) = ( 742 x 924 ) / 48972

= 742 / 924

= 742

Step2:

LCM(14, 63) = 126

GCD(14, 63) = ( 14 x 63 ) / 126

= 14 / 63

= 14

Step3:

LCM(7, 144) = 1008

GCD(7, 144) = ( 7 x 144 ) / 1008

= 7 / 144

= 7

So, Greatest Common Divisor of 742, 924, 63, 144 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 518, 276, 61, 755
• GCD of 328, 830, 42, 758
• GCD of 795, 246, 25, 853
• GCD of 128, 331, 59, 313
• GCD of 644, 119, 18, 186

Given numbers are 742, 924, 63, 144
The greatest common divisor of numbers 742, 924, 63, 144 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 924, 63, 144 is 1.

1. What is the GCD of 742, 924, 63, 144?

GCD of given numbers 742, 924, 63, 144 is 1

2. How to calculate the greatest common divisor of 742, 924, 63, 144?

We can find the highest common divisor of 742, 924, 63, 144 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, 924, 63, 144 i.e 1.

3. How can I use the GCD of 742, 924, 63, 144Calculator?

Out the numbers 742, 924, 63, 144 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.