GCD of 667, 989, 749, 252 Calculator

Given Input numbers are 667, 989, 749, 252

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

Divisors of 667 :

The positive integer divisors of 667 that completely divides 667 are.

1, 23, 29, 667

Divisors of 989 :

The positive integer divisors of 989 that completely divides 989 are.

1, 23, 43, 989

Divisors of 749 :

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

1, 7, 107, 749

Divisors of 252 :

The positive integer divisors of 252 that completely divides 252 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252

GCD of numbers is the greatest common divisor

So, the GCD (667, 989, 749, 252) = 1.

Given numbers are 667, 989, 749, 252

The list of prime factors of all numbers are

Prime factors of 667 are 23 x 29

Prime factors of 989 are 23 x 43

Prime factors of 749 are 7 x 107

Prime factors of 252 are 2 x 2 x 3 x 3 x 7

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

Given numbers are 667, 989, 749, 252

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

Apply this formula for all numbers.

Step1:

LCM(667, 989) = 28681

GCD(667, 989) = ( 667 x 989 ) / 28681

= 667 / 989

= 667

Step2:

LCM(23, 749) = 17227

GCD(23, 749) = ( 23 x 749 ) / 17227

= 23 / 749

= 23

Step3:

LCM(1, 252) = 252

GCD(1, 252) = ( 1 x 252 ) / 252

= 1 / 252

= 1

So, Greatest Common Divisor of 667, 989, 749, 252 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 951, 866, 550, 198
• GCD of 106, 218, 486, 349
• GCD of 170, 442, 543, 492
• GCD of 748, 623, 225, 719
• GCD of 332, 263, 820, 898

Given numbers are 667, 989, 749, 252
The greatest common divisor of numbers 667, 989, 749, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 667, 989, 749, 252 is 1.

1. What is the GCD of 667, 989, 749, 252?

GCD of given numbers 667, 989, 749, 252 is 1

2. How to calculate the greatest common divisor of 667, 989, 749, 252?

We can find the highest common divisor of 667, 989, 749, 252 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 667, 989, 749, 252 i.e 1.

3. How can I use the GCD of 667, 989, 749, 252Calculator?

Out the numbers 667, 989, 749, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.