GCD of 114, 332, 10, 964 Calculator

Given Input numbers are 114, 332, 10, 964

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 332 :

The positive integer divisors of 332 that completely divides 332 are.

1, 2, 4, 83, 166, 332

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 964 :

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

1, 2, 4, 241, 482, 964

GCD of numbers is the greatest common divisor

So, the GCD (114, 332, 10, 964) = 2.

Given numbers are 114, 332, 10, 964

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 332 are 2 x 2 x 83

Prime factors of 10 are 2 x 5

Prime factors of 964 are 2 x 2 x 241

The highest common occurrence is 2¹

Therefore, GCD of 114, 332, 10, 964 is 2.

Given numbers are 114, 332, 10, 964

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

Apply this formula for all numbers.

Step1:

LCM(114, 332) = 18924

GCD(114, 332) = ( 114 x 332 ) / 18924

= 114 / 332

= 114

Step2:

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

= 2 / 10

= 2

Step3:

LCM(2, 964) = 964

GCD(2, 964) = ( 2 x 964 ) / 964

= 2 / 964

= 2

So, Greatest Common Divisor of 114, 332, 10, 964 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 564, 733, 18, 770
• GCD of 507, 122, 56, 273
• GCD of 988, 355, 14, 520
• GCD of 391, 422, 65, 420
• GCD of 424, 999, 28, 135

Given numbers are 114, 332, 10, 964
The greatest common divisor of numbers 114, 332, 10, 964 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 332, 10, 964 is 2.

1. What is the GCD of 114, 332, 10, 964?

GCD of given numbers 114, 332, 10, 964 is 2

2. How to calculate the greatest common divisor of 114, 332, 10, 964?

We can find the highest common divisor of 114, 332, 10, 964 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 114, 332, 10, 964 i.e 2.

3. How can I use the GCD of 114, 332, 10, 964Calculator?

Out the numbers 114, 332, 10, 964 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.