GCD of 967, 821, 747, 214 Calculator

Given Input numbers are 967, 821, 747, 214

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

Divisors of 967 :

The positive integer divisors of 967 that completely divides 967 are.

1, 967

Divisors of 821 :

The positive integer divisors of 821 that completely divides 821 are.

1, 821

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

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 (967, 821, 747, 214) = 1.

Given numbers are 967, 821, 747, 214

The list of prime factors of all numbers are

Prime factors of 967 are 967

Prime factors of 821 are 821

Prime factors of 747 are 3 x 3 x 83

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 967, 821, 747, 214

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

Apply this formula for all numbers.

Step1:

LCM(967, 821) = 793907

GCD(967, 821) = ( 967 x 821 ) / 793907

= 967 / 821

= 967

Step2:

LCM(1, 747) = 747

GCD(1, 747) = ( 1 x 747 ) / 747

= 1 / 747

= 1

Step3:

LCM(1, 214) = 214

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

= 1 / 214

= 1

So, Greatest Common Divisor of 967, 821, 747, 214 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 959, 216, 464, 928
• GCD of 496, 918, 771, 417
• GCD of 276, 610, 249, 894
• GCD of 672, 979, 250, 279
• GCD of 816, 407, 711, 148

Given numbers are 967, 821, 747, 214
The greatest common divisor of numbers 967, 821, 747, 214 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 967, 821, 747, 214 is 1.

1. What is the GCD of 967, 821, 747, 214?

GCD of given numbers 967, 821, 747, 214 is 1

2. How to calculate the greatest common divisor of 967, 821, 747, 214?

We can find the highest common divisor of 967, 821, 747, 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 967, 821, 747, 214 i.e 1.

3. How can I use the GCD of 967, 821, 747, 214Calculator?

Out the numbers 967, 821, 747, 214 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.