GCD of 120, 758, 894, 867 Calculator

Given Input numbers are 120, 758, 894, 867

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

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

Divisors of 758 :

The positive integer divisors of 758 that completely divides 758 are.

1, 2, 379, 758

Divisors of 894 :

The positive integer divisors of 894 that completely divides 894 are.

1, 2, 3, 6, 149, 298, 447, 894

Divisors of 867 :

The positive integer divisors of 867 that completely divides 867 are.

1, 3, 17, 51, 289, 867

GCD of numbers is the greatest common divisor

So, the GCD (120, 758, 894, 867) = 1.

Given numbers are 120, 758, 894, 867

The list of prime factors of all numbers are

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

Prime factors of 758 are 2 x 379

Prime factors of 894 are 2 x 3 x 149

Prime factors of 867 are 3 x 17 x 17

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

Given numbers are 120, 758, 894, 867

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

Apply this formula for all numbers.

Step1:

LCM(120, 758) = 45480

GCD(120, 758) = ( 120 x 758 ) / 45480

= 120 / 758

= 120

Step2:

LCM(2, 894) = 894

GCD(2, 894) = ( 2 x 894 ) / 894

= 2 / 894

= 2

Step3:

LCM(2, 867) = 1734

GCD(2, 867) = ( 2 x 867 ) / 1734

= 2 / 867

= 2

So, Greatest Common Divisor of 120, 758, 894, 867 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 705, 113, 606, 812
• GCD of 690, 376, 548, 137
• GCD of 992, 888, 411, 260
• GCD of 962, 859, 818, 464
• GCD of 492, 952, 458, 870

Given numbers are 120, 758, 894, 867
The greatest common divisor of numbers 120, 758, 894, 867 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 758, 894, 867 is 1.

1. What is the GCD of 120, 758, 894, 867?

GCD of given numbers 120, 758, 894, 867 is 1

2. How to calculate the greatest common divisor of 120, 758, 894, 867?

We can find the highest common divisor of 120, 758, 894, 867 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 120, 758, 894, 867 i.e 1.

3. How can I use the GCD of 120, 758, 894, 867Calculator?

Out the numbers 120, 758, 894, 867 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.