GCD of 854, 988, 132, 422 Calculator

Given Input numbers are 854, 988, 132, 422

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

Divisors of 854 :

The positive integer divisors of 854 that completely divides 854 are.

1, 2, 7, 14, 61, 122, 427, 854

Divisors of 988 :

The positive integer divisors of 988 that completely divides 988 are.

1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988

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 422 :

The positive integer divisors of 422 that completely divides 422 are.

1, 2, 211, 422

GCD of numbers is the greatest common divisor

So, the GCD (854, 988, 132, 422) = 2.

Given numbers are 854, 988, 132, 422

The list of prime factors of all numbers are

Prime factors of 854 are 2 x 7 x 61

Prime factors of 988 are 2 x 2 x 13 x 19

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

Prime factors of 422 are 2 x 211

The highest common occurrence is 2¹

Therefore, GCD of 854, 988, 132, 422 is 2.

Given numbers are 854, 988, 132, 422

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

Apply this formula for all numbers.

Step1:

LCM(854, 988) = 421876

GCD(854, 988) = ( 854 x 988 ) / 421876

= 854 / 988

= 854

Step2:

LCM(2, 132) = 132

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

= 2 / 132

= 2

Step3:

LCM(2, 422) = 422

GCD(2, 422) = ( 2 x 422 ) / 422

= 2 / 422

= 2

So, Greatest Common Divisor of 854, 988, 132, 422 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 622, 771, 663, 976
• GCD of 827, 608, 313, 805
• GCD of 932, 892, 882, 237
• GCD of 965, 564, 216, 570
• GCD of 464, 839, 256, 932

Given numbers are 854, 988, 132, 422
The greatest common divisor of numbers 854, 988, 132, 422 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 854, 988, 132, 422 is 2.

1. What is the GCD of 854, 988, 132, 422?

GCD of given numbers 854, 988, 132, 422 is 2

2. How to calculate the greatest common divisor of 854, 988, 132, 422?

We can find the highest common divisor of 854, 988, 132, 422 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 854, 988, 132, 422 i.e 2.

3. How can I use the GCD of 854, 988, 132, 422Calculator?

Out the numbers 854, 988, 132, 422 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.