GCD of 964, 214, 965, 749 Calculator

Given Input numbers are 964, 214, 965, 749

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 214 :

The positive integer divisors of 214 that completely divides 214 are.

1, 2, 107, 214

Divisors of 965 :

The positive integer divisors of 965 that completely divides 965 are.

1, 5, 193, 965

Divisors of 749 :

The positive integer divisors of 749 that completely divides 749 are.

1, 7, 107, 749

GCD of numbers is the greatest common divisor

So, the GCD (964, 214, 965, 749) = 1.

Given numbers are 964, 214, 965, 749

The list of prime factors of all numbers are

Prime factors of 964 are 2 x 2 x 241

Prime factors of 214 are 2 x 107

Prime factors of 965 are 5 x 193

Prime factors of 749 are 7 x 107

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 964, 214, 965, 749

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

Apply this formula for all numbers.

Step1:

LCM(964, 214) = 103148

GCD(964, 214) = ( 964 x 214 ) / 103148

= 964 / 214

= 964

Step2:

LCM(2, 965) = 1930

GCD(2, 965) = ( 2 x 965 ) / 1930

= 2 / 965

= 2

Step3:

LCM(1, 749) = 749

GCD(1, 749) = ( 1 x 749 ) / 749

= 1 / 749

= 1

So, Greatest Common Divisor of 964, 214, 965, 749 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 252, 211, 796, 381
• GCD of 389, 887, 573, 615
• GCD of 772, 388, 991, 696
• GCD of 934, 172, 910, 584
• GCD of 420, 554, 408, 135

Given numbers are 964, 214, 965, 749
The greatest common divisor of numbers 964, 214, 965, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 964, 214, 965, 749 is 1.

1. What is the GCD of 964, 214, 965, 749?

GCD of given numbers 964, 214, 965, 749 is 1

2. How to calculate the greatest common divisor of 964, 214, 965, 749?

We can find the highest common divisor of 964, 214, 965, 749 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, 214, 965, 749 i.e 1.

3. How can I use the GCD of 964, 214, 965, 749Calculator?

Out the numbers 964, 214, 965, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.