GCD of 120, 892, 942, 194 Calculator

Given Input numbers are 120, 892, 942, 194

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 892 :

The positive integer divisors of 892 that completely divides 892 are.

1, 2, 4, 223, 446, 892

Divisors of 942 :

The positive integer divisors of 942 that completely divides 942 are.

1, 2, 3, 6, 157, 314, 471, 942

Divisors of 194 :

The positive integer divisors of 194 that completely divides 194 are.

1, 2, 97, 194

GCD of numbers is the greatest common divisor

So, the GCD (120, 892, 942, 194) = 2.

Given numbers are 120, 892, 942, 194

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 892 are 2 x 2 x 223

Prime factors of 942 are 2 x 3 x 157

Prime factors of 194 are 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 120, 892, 942, 194 is 2.

Given numbers are 120, 892, 942, 194

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

Apply this formula for all numbers.

Step1:

LCM(120, 892) = 26760

GCD(120, 892) = ( 120 x 892 ) / 26760

= 120 / 892

= 120

Step2:

LCM(4, 942) = 1884

GCD(4, 942) = ( 4 x 942 ) / 1884

= 4 / 942

= 4

Step3:

LCM(2, 194) = 194

GCD(2, 194) = ( 2 x 194 ) / 194

= 2 / 194

= 2

So, Greatest Common Divisor of 120, 892, 942, 194 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 885, 735, 897, 156
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Given numbers are 120, 892, 942, 194
The greatest common divisor of numbers 120, 892, 942, 194 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 892, 942, 194 is 2.

1. What is the GCD of 120, 892, 942, 194?

GCD of given numbers 120, 892, 942, 194 is 2

2. How to calculate the greatest common divisor of 120, 892, 942, 194?

We can find the highest common divisor of 120, 892, 942, 194 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, 892, 942, 194 i.e 2.

3. How can I use the GCD of 120, 892, 942, 194Calculator?

Out the numbers 120, 892, 942, 194 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.