GCD of 964, 762, 314, 644 Calculator

Given Input numbers are 964, 762, 314, 644

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

Divisors of 964 :

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

1, 2, 4, 241, 482, 964

Divisors of 762 :

The positive integer divisors of 762 that completely divides 762 are.

1, 2, 3, 6, 127, 254, 381, 762

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 644 :

The positive integer divisors of 644 that completely divides 644 are.

1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644

GCD of numbers is the greatest common divisor

So, the GCD (964, 762, 314, 644) = 2.

Given numbers are 964, 762, 314, 644

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 762 are 2 x 3 x 127

Prime factors of 314 are 2 x 157

Prime factors of 644 are 2 x 2 x 7 x 23

The highest common occurrence is 2¹

Therefore, GCD of 964, 762, 314, 644 is 2.

Given numbers are 964, 762, 314, 644

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

Apply this formula for all numbers.

Step1:

LCM(964, 762) = 367284

GCD(964, 762) = ( 964 x 762 ) / 367284

= 964 / 762

= 964

Step2:

LCM(2, 314) = 314

GCD(2, 314) = ( 2 x 314 ) / 314

= 2 / 314

= 2

Step3:

LCM(2, 644) = 644

GCD(2, 644) = ( 2 x 644 ) / 644

= 2 / 644

= 2

So, Greatest Common Divisor of 964, 762, 314, 644 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 378, 980, 418, 167
• GCD of 474, 999, 270, 907
• GCD of 538, 313, 860, 217
• GCD of 154, 221, 820, 550
• GCD of 828, 586, 263, 873

Given numbers are 964, 762, 314, 644
The greatest common divisor of numbers 964, 762, 314, 644 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 762, 314, 644 is 2.

1. What is the GCD of 964, 762, 314, 644?

GCD of given numbers 964, 762, 314, 644 is 2

2. How to calculate the greatest common divisor of 964, 762, 314, 644?

We can find the highest common divisor of 964, 762, 314, 644 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 964, 762, 314, 644 i.e 2.

3. How can I use the GCD of 964, 762, 314, 644Calculator?

Out the numbers 964, 762, 314, 644 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.