GCD of 105, 693, 904, 120 Calculator

Given Input numbers are 105, 693, 904, 120

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

Divisors of 105 :

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

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

Divisors of 693 :

The positive integer divisors of 693 that completely divides 693 are.

1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693

Divisors of 904 :

The positive integer divisors of 904 that completely divides 904 are.

1, 2, 4, 8, 113, 226, 452, 904

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

GCD of numbers is the greatest common divisor

So, the GCD (105, 693, 904, 120) = 1.

Given numbers are 105, 693, 904, 120

The list of prime factors of all numbers are

Prime factors of 105 are 3 x 5 x 7

Prime factors of 693 are 3 x 3 x 7 x 11

Prime factors of 904 are 2 x 2 x 2 x 113

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

Given numbers are 105, 693, 904, 120

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

Apply this formula for all numbers.

Step1:

LCM(105, 693) = 3465

GCD(105, 693) = ( 105 x 693 ) / 3465

= 105 / 693

= 105

Step2:

LCM(21, 904) = 18984

GCD(21, 904) = ( 21 x 904 ) / 18984

= 21 / 904

= 21

Step3:

LCM(1, 120) = 120

GCD(1, 120) = ( 1 x 120 ) / 120

= 1 / 120

= 1

So, Greatest Common Divisor of 105, 693, 904, 120 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 175, 784, 777, 548
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• GCD of 327, 721, 896, 275
• GCD of 307, 999, 418, 491
• GCD of 997, 399, 460, 501

Given numbers are 105, 693, 904, 120
The greatest common divisor of numbers 105, 693, 904, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 693, 904, 120 is 1.

1. What is the GCD of 105, 693, 904, 120?

GCD of given numbers 105, 693, 904, 120 is 1

2. How to calculate the greatest common divisor of 105, 693, 904, 120?

We can find the highest common divisor of 105, 693, 904, 120 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 105, 693, 904, 120 i.e 1.

3. How can I use the GCD of 105, 693, 904, 120Calculator?

Out the numbers 105, 693, 904, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.