GCD of 742, 170, 105, 126 Calculator

Given Input numbers are 742, 170, 105, 126

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 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

Divisors of 105 :

The positive integer divisors of 105 that completely divides 105 are.

1, 3, 5, 7, 15, 21, 35, 105

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

GCD of numbers is the greatest common divisor

So, the GCD (742, 170, 105, 126) = 1.

Given numbers are 742, 170, 105, 126

The list of prime factors of all numbers are

Prime factors of 742 are 2 x 7 x 53

Prime factors of 170 are 2 x 5 x 17

Prime factors of 105 are 3 x 5 x 7

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

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

Given numbers are 742, 170, 105, 126

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

Apply this formula for all numbers.

Step1:

LCM(742, 170) = 63070

GCD(742, 170) = ( 742 x 170 ) / 63070

= 742 / 170

= 742

Step2:

LCM(2, 105) = 210

GCD(2, 105) = ( 2 x 105 ) / 210

= 2 / 105

= 2

Step3:

LCM(1, 126) = 126

GCD(1, 126) = ( 1 x 126 ) / 126

= 1 / 126

= 1

So, Greatest Common Divisor of 742, 170, 105, 126 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 996, 885, 693, 281
• GCD of 792, 819, 386, 103
• GCD of 922, 714, 535, 955
• GCD of 867, 689, 627, 392
• GCD of 127, 247, 931, 650

Given numbers are 742, 170, 105, 126
The greatest common divisor of numbers 742, 170, 105, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 742, 170, 105, 126 is 1.

1. What is the GCD of 742, 170, 105, 126?

GCD of given numbers 742, 170, 105, 126 is 1

2. How to calculate the greatest common divisor of 742, 170, 105, 126?

We can find the highest common divisor of 742, 170, 105, 126 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, 170, 105, 126 i.e 1.

3. How can I use the GCD of 742, 170, 105, 126Calculator?

Out the numbers 742, 170, 105, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.