GCD of 126, 742, 960, 745 Calculator

Given Input numbers are 126, 742, 960, 745

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 742 :

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

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

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

GCD of numbers is the greatest common divisor

So, the GCD (126, 742, 960, 745) = 1.

Given numbers are 126, 742, 960, 745

The list of prime factors of all numbers are

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 742 are 2 x 7 x 53

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 745 are 5 x 149

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

Given numbers are 126, 742, 960, 745

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

Apply this formula for all numbers.

Step1:

LCM(126, 742) = 6678

GCD(126, 742) = ( 126 x 742 ) / 6678

= 126 / 742

= 126

Step2:

LCM(14, 960) = 6720

GCD(14, 960) = ( 14 x 960 ) / 6720

= 14 / 960

= 14

Step3:

LCM(2, 745) = 1490

GCD(2, 745) = ( 2 x 745 ) / 1490

= 2 / 745

= 2

So, Greatest Common Divisor of 126, 742, 960, 745 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 310, 475, 727, 260
• GCD of 152, 560, 929, 406
• GCD of 121, 524, 445, 989
• GCD of 480, 421, 115, 936
• GCD of 217, 408, 433, 638

Given numbers are 126, 742, 960, 745
The greatest common divisor of numbers 126, 742, 960, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 742, 960, 745 is 1.

1. What is the GCD of 126, 742, 960, 745?

GCD of given numbers 126, 742, 960, 745 is 1

2. How to calculate the greatest common divisor of 126, 742, 960, 745?

We can find the highest common divisor of 126, 742, 960, 745 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 126, 742, 960, 745 i.e 1.

3. How can I use the GCD of 126, 742, 960, 745Calculator?

Out the numbers 126, 742, 960, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.