GCD of 936, 560, 742, 105 Calculator

Given Input numbers are 936, 560, 742, 105

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

Divisors of 936 :

The positive integer divisors of 936 that completely divides 936 are.

1, 2, 3, 4, 6, 8, 9, 12, 13, 18, 24, 26, 36, 39, 52, 72, 78, 104, 117, 156, 234, 312, 468, 936

Divisors of 560 :

The positive integer divisors of 560 that completely divides 560 are.

1, 2, 4, 5, 7, 8, 10, 14, 16, 20, 28, 35, 40, 56, 70, 80, 112, 140, 280, 560

Divisors of 742 :

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

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

Divisors of 105 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (936, 560, 742, 105) = 1.

Given numbers are 936, 560, 742, 105

The list of prime factors of all numbers are

Prime factors of 936 are 2 x 2 x 2 x 3 x 3 x 13

Prime factors of 560 are 2 x 2 x 2 x 2 x 5 x 7

Prime factors of 742 are 2 x 7 x 53

Prime factors of 105 are 3 x 5 x 7

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

Given numbers are 936, 560, 742, 105

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

Apply this formula for all numbers.

Step1:

LCM(936, 560) = 65520

GCD(936, 560) = ( 936 x 560 ) / 65520

= 936 / 560

= 936

Step2:

LCM(8, 742) = 2968

GCD(8, 742) = ( 8 x 742 ) / 2968

= 8 / 742

= 8

Step3:

LCM(2, 105) = 210

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

= 2 / 105

= 2

So, Greatest Common Divisor of 936, 560, 742, 105 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 798, 709, 681, 710
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Given numbers are 936, 560, 742, 105
The greatest common divisor of numbers 936, 560, 742, 105 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 936, 560, 742, 105 is 1.

1. What is the GCD of 936, 560, 742, 105?

GCD of given numbers 936, 560, 742, 105 is 1

2. How to calculate the greatest common divisor of 936, 560, 742, 105?

We can find the highest common divisor of 936, 560, 742, 105 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 936, 560, 742, 105 i.e 1.

3. How can I use the GCD of 936, 560, 742, 105Calculator?

Out the numbers 936, 560, 742, 105 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.