GCD of 976, 628, 381, 214 Calculator

Given Input numbers are 976, 628, 381, 214

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

Divisors of 976 :

The positive integer divisors of 976 that completely divides 976 are.

1, 2, 4, 8, 16, 61, 122, 244, 488, 976

Divisors of 628 :

The positive integer divisors of 628 that completely divides 628 are.

1, 2, 4, 157, 314, 628

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

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 (976, 628, 381, 214) = 1.

Given numbers are 976, 628, 381, 214

The list of prime factors of all numbers are

Prime factors of 976 are 2 x 2 x 2 x 2 x 61

Prime factors of 628 are 2 x 2 x 157

Prime factors of 381 are 3 x 127

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 976, 628, 381, 214

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

Apply this formula for all numbers.

Step1:

LCM(976, 628) = 153232

GCD(976, 628) = ( 976 x 628 ) / 153232

= 976 / 628

= 976

Step2:

LCM(4, 381) = 1524

GCD(4, 381) = ( 4 x 381 ) / 1524

= 4 / 381

= 4

Step3:

LCM(1, 214) = 214

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

= 1 / 214

= 1

So, Greatest Common Divisor of 976, 628, 381, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 268, 217, 467, 319
• GCD of 938, 980, 983, 790
• GCD of 380, 281, 856, 947
• GCD of 509, 583, 799, 959
• GCD of 617, 682, 800, 656

Given numbers are 976, 628, 381, 214
The greatest common divisor of numbers 976, 628, 381, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 976, 628, 381, 214 is 1.

1. What is the GCD of 976, 628, 381, 214?

GCD of given numbers 976, 628, 381, 214 is 1

2. How to calculate the greatest common divisor of 976, 628, 381, 214?

We can find the highest common divisor of 976, 628, 381, 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 976, 628, 381, 214 i.e 1.

3. How can I use the GCD of 976, 628, 381, 214Calculator?

Out the numbers 976, 628, 381, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.