GCD of 954, 360, 550, 194 Calculator

Given Input numbers are 954, 360, 550, 194

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

Divisors of 954 :

The positive integer divisors of 954 that completely divides 954 are.

1, 2, 3, 6, 9, 18, 53, 106, 159, 318, 477, 954

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

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 (954, 360, 550, 194) = 2.

Given numbers are 954, 360, 550, 194

The list of prime factors of all numbers are

Prime factors of 954 are 2 x 3 x 3 x 53

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 194 are 2 x 97

The highest common occurrence is 2¹

Therefore, GCD of 954, 360, 550, 194 is 2.

Given numbers are 954, 360, 550, 194

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

Apply this formula for all numbers.

Step1:

LCM(954, 360) = 19080

GCD(954, 360) = ( 954 x 360 ) / 19080

= 954 / 360

= 954

Step2:

LCM(18, 550) = 4950

GCD(18, 550) = ( 18 x 550 ) / 4950

= 18 / 550

= 18

Step3:

LCM(2, 194) = 194

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

= 2 / 194

= 2

So, Greatest Common Divisor of 954, 360, 550, 194 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 581, 866, 349, 663
• GCD of 449, 511, 776, 907
• GCD of 460, 530, 645, 685
• GCD of 542, 785, 810, 506
• GCD of 848, 163, 559, 878

Given numbers are 954, 360, 550, 194
The greatest common divisor of numbers 954, 360, 550, 194 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 360, 550, 194 is 2.

1. What is the GCD of 954, 360, 550, 194?

GCD of given numbers 954, 360, 550, 194 is 2

2. How to calculate the greatest common divisor of 954, 360, 550, 194?

We can find the highest common divisor of 954, 360, 550, 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 954, 360, 550, 194 i.e 2.

3. How can I use the GCD of 954, 360, 550, 194Calculator?

Out the numbers 954, 360, 550, 194 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.