GCD of 426, 156, 141, 960 Calculator

Given Input numbers are 426, 156, 141, 960

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

Divisors of 426 :

The positive integer divisors of 426 that completely divides 426 are.

1, 2, 3, 6, 71, 142, 213, 426

Divisors of 156 :

The positive integer divisors of 156 that completely divides 156 are.

1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156

Divisors of 141 :

The positive integer divisors of 141 that completely divides 141 are.

1, 3, 47, 141

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

GCD of numbers is the greatest common divisor

So, the GCD (426, 156, 141, 960) = 3.

Given numbers are 426, 156, 141, 960

The list of prime factors of all numbers are

Prime factors of 426 are 2 x 3 x 71

Prime factors of 156 are 2 x 2 x 3 x 13

Prime factors of 141 are 3 x 47

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

The highest common occurrence is 3¹

Therefore, GCD of 426, 156, 141, 960 is 3.

Given numbers are 426, 156, 141, 960

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

Apply this formula for all numbers.

Step1:

LCM(426, 156) = 11076

GCD(426, 156) = ( 426 x 156 ) / 11076

= 426 / 156

= 426

Step2:

LCM(6, 141) = 282

GCD(6, 141) = ( 6 x 141 ) / 282

= 6 / 141

= 6

Step3:

LCM(3, 960) = 960

GCD(3, 960) = ( 3 x 960 ) / 960

= 3 / 960

= 3

So, Greatest Common Divisor of 426, 156, 141, 960 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 233, 239, 995, 505
• GCD of 822, 573, 640, 694
• GCD of 789, 528, 878, 561
• GCD of 352, 372, 709, 732
• GCD of 421, 667, 132, 561

Given numbers are 426, 156, 141, 960
The greatest common divisor of numbers 426, 156, 141, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 426, 156, 141, 960 is 3.

1. What is the GCD of 426, 156, 141, 960?

GCD of given numbers 426, 156, 141, 960 is 3

2. How to calculate the greatest common divisor of 426, 156, 141, 960?

We can find the highest common divisor of 426, 156, 141, 960 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 426, 156, 141, 960 i.e 3.

3. How can I use the GCD of 426, 156, 141, 960Calculator?

Out the numbers 426, 156, 141, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.