GCD of 969, 752, 325, 214 Calculator

Given Input numbers are 969, 752, 325, 214

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

Divisors of 969 :

The positive integer divisors of 969 that completely divides 969 are.

1, 3, 17, 19, 51, 57, 323, 969

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 214 :

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

1, 2, 107, 214

GCD of numbers is the greatest common divisor

So, the GCD (969, 752, 325, 214) = 1.

Given numbers are 969, 752, 325, 214

The list of prime factors of all numbers are

Prime factors of 969 are 3 x 17 x 19

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

Prime factors of 325 are 5 x 5 x 13

Prime factors of 214 are 2 x 107

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

Given numbers are 969, 752, 325, 214

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

Apply this formula for all numbers.

Step1:

LCM(969, 752) = 728688

GCD(969, 752) = ( 969 x 752 ) / 728688

= 969 / 752

= 969

Step2:

LCM(1, 325) = 325

GCD(1, 325) = ( 1 x 325 ) / 325

= 1 / 325

= 1

Step3:

LCM(1, 214) = 214

GCD(1, 214) = ( 1 x 214 ) / 214

= 1 / 214

= 1

So, Greatest Common Divisor of 969, 752, 325, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 215, 192, 287, 623
• GCD of 106, 767, 820, 471
• GCD of 840, 351, 559, 920
• GCD of 297, 410, 392, 112
• GCD of 164, 566, 324, 327

Given numbers are 969, 752, 325, 214
The greatest common divisor of numbers 969, 752, 325, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 969, 752, 325, 214 is 1.

1. What is the GCD of 969, 752, 325, 214?

GCD of given numbers 969, 752, 325, 214 is 1

2. How to calculate the greatest common divisor of 969, 752, 325, 214?

We can find the highest common divisor of 969, 752, 325, 214 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 969, 752, 325, 214 i.e 1.

3. How can I use the GCD of 969, 752, 325, 214Calculator?

Out the numbers 969, 752, 325, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.