GCD of 424, 174, 960, 922 Calculator

Given Input numbers are 424, 174, 960, 922

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

Divisors of 424 :

The positive integer divisors of 424 that completely divides 424 are.

1, 2, 4, 8, 53, 106, 212, 424

Divisors of 174 :

The positive integer divisors of 174 that completely divides 174 are.

1, 2, 3, 6, 29, 58, 87, 174

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

Divisors of 922 :

The positive integer divisors of 922 that completely divides 922 are.

1, 2, 461, 922

GCD of numbers is the greatest common divisor

So, the GCD (424, 174, 960, 922) = 2.

Given numbers are 424, 174, 960, 922

The list of prime factors of all numbers are

Prime factors of 424 are 2 x 2 x 2 x 53

Prime factors of 174 are 2 x 3 x 29

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

Prime factors of 922 are 2 x 461

The highest common occurrence is 2¹

Therefore, GCD of 424, 174, 960, 922 is 2.

Given numbers are 424, 174, 960, 922

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

Apply this formula for all numbers.

Step1:

LCM(424, 174) = 36888

GCD(424, 174) = ( 424 x 174 ) / 36888

= 424 / 174

= 424

Step2:

LCM(2, 960) = 960

GCD(2, 960) = ( 2 x 960 ) / 960

= 2 / 960

= 2

Step3:

LCM(2, 922) = 922

GCD(2, 922) = ( 2 x 922 ) / 922

= 2 / 922

= 2

So, Greatest Common Divisor of 424, 174, 960, 922 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 340, 943, 416, 857
• GCD of 520, 156, 491, 262
• GCD of 812, 262, 660, 812
• GCD of 164, 453, 543, 304
• GCD of 189, 565, 631, 188

Given numbers are 424, 174, 960, 922
The greatest common divisor of numbers 424, 174, 960, 922 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 424, 174, 960, 922 is 2.

1. What is the GCD of 424, 174, 960, 922?

GCD of given numbers 424, 174, 960, 922 is 2

2. How to calculate the greatest common divisor of 424, 174, 960, 922?

We can find the highest common divisor of 424, 174, 960, 922 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 424, 174, 960, 922 i.e 2.

3. How can I use the GCD of 424, 174, 960, 922Calculator?

Out the numbers 424, 174, 960, 922 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.