GCD of 954, 964, 782, 132 Calculator

Given Input numbers are 954, 964, 782, 132

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 964 :

The positive integer divisors of 964 that completely divides 964 are.

1, 2, 4, 241, 482, 964

Divisors of 782 :

The positive integer divisors of 782 that completely divides 782 are.

1, 2, 17, 23, 34, 46, 391, 782

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

GCD of numbers is the greatest common divisor

So, the GCD (954, 964, 782, 132) = 2.

Given numbers are 954, 964, 782, 132

The list of prime factors of all numbers are

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

Prime factors of 964 are 2 x 2 x 241

Prime factors of 782 are 2 x 17 x 23

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

The highest common occurrence is 2¹

Therefore, GCD of 954, 964, 782, 132 is 2.

Given numbers are 954, 964, 782, 132

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

Apply this formula for all numbers.

Step1:

LCM(954, 964) = 459828

GCD(954, 964) = ( 954 x 964 ) / 459828

= 954 / 964

= 954

Step2:

LCM(2, 782) = 782

GCD(2, 782) = ( 2 x 782 ) / 782

= 2 / 782

= 2

Step3:

LCM(2, 132) = 132

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

= 2 / 132

= 2

So, Greatest Common Divisor of 954, 964, 782, 132 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 230, 106, 271, 436
• GCD of 329, 562, 902, 813
• GCD of 794, 505, 516, 700
• GCD of 653, 847, 208, 312
• GCD of 595, 194, 581, 755

Given numbers are 954, 964, 782, 132
The greatest common divisor of numbers 954, 964, 782, 132 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 954, 964, 782, 132 is 2.

1. What is the GCD of 954, 964, 782, 132?

GCD of given numbers 954, 964, 782, 132 is 2

2. How to calculate the greatest common divisor of 954, 964, 782, 132?

We can find the highest common divisor of 954, 964, 782, 132 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, 964, 782, 132 i.e 2.

3. How can I use the GCD of 954, 964, 782, 132Calculator?

Out the numbers 954, 964, 782, 132 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.