GCD of 554, 960, 132, 942 Calculator

Given Input numbers are 554, 960, 132, 942

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

Divisors of 554 :

The positive integer divisors of 554 that completely divides 554 are.

1, 2, 277, 554

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 132 :

The positive integer divisors of 132 that completely divides 132 are.

1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132

Divisors of 942 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (554, 960, 132, 942) = 2.

Given numbers are 554, 960, 132, 942

The list of prime factors of all numbers are

Prime factors of 554 are 2 x 277

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

Prime factors of 132 are 2 x 2 x 3 x 11

Prime factors of 942 are 2 x 3 x 157

The highest common occurrence is 2¹

Therefore, GCD of 554, 960, 132, 942 is 2.

Given numbers are 554, 960, 132, 942

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

Apply this formula for all numbers.

Step1:

LCM(554, 960) = 265920

GCD(554, 960) = ( 554 x 960 ) / 265920

= 554 / 960

= 554

Step2:

LCM(2, 132) = 132

GCD(2, 132) = ( 2 x 132 ) / 132

= 2 / 132

= 2

Step3:

LCM(2, 942) = 942

GCD(2, 942) = ( 2 x 942 ) / 942

= 2 / 942

= 2

So, Greatest Common Divisor of 554, 960, 132, 942 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 533, 547, 438, 327
• GCD of 476, 467, 545, 981
• GCD of 175, 351, 715, 876
• GCD of 763, 661, 448, 570
• GCD of 605, 369, 174, 421

Given numbers are 554, 960, 132, 942
The greatest common divisor of numbers 554, 960, 132, 942 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 554, 960, 132, 942 is 2.

1. What is the GCD of 554, 960, 132, 942?

GCD of given numbers 554, 960, 132, 942 is 2

2. How to calculate the greatest common divisor of 554, 960, 132, 942?

We can find the highest common divisor of 554, 960, 132, 942 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 554, 960, 132, 942 i.e 2.

3. How can I use the GCD of 554, 960, 132, 942Calculator?

Out the numbers 554, 960, 132, 942 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.