GCD of 114, 689, 737, 669 Calculator

Given Input numbers are 114, 689, 737, 669

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

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

Divisors of 689 :

The positive integer divisors of 689 that completely divides 689 are.

1, 13, 53, 689

Divisors of 737 :

The positive integer divisors of 737 that completely divides 737 are.

1, 11, 67, 737

Divisors of 669 :

The positive integer divisors of 669 that completely divides 669 are.

1, 3, 223, 669

GCD of numbers is the greatest common divisor

So, the GCD (114, 689, 737, 669) = 1.

Given numbers are 114, 689, 737, 669

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 689 are 13 x 53

Prime factors of 737 are 11 x 67

Prime factors of 669 are 3 x 223

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

Given numbers are 114, 689, 737, 669

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

Apply this formula for all numbers.

Step1:

LCM(114, 689) = 78546

GCD(114, 689) = ( 114 x 689 ) / 78546

= 114 / 689

= 114

Step2:

LCM(1, 737) = 737

GCD(1, 737) = ( 1 x 737 ) / 737

= 1 / 737

= 1

Step3:

LCM(1, 669) = 669

GCD(1, 669) = ( 1 x 669 ) / 669

= 1 / 669

= 1

So, Greatest Common Divisor of 114, 689, 737, 669 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 133, 461, 964, 723
• GCD of 506, 593, 432, 238
• GCD of 816, 762, 535, 897
• GCD of 795, 656, 685, 374
• GCD of 796, 725, 899, 986

Given numbers are 114, 689, 737, 669
The greatest common divisor of numbers 114, 689, 737, 669 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 689, 737, 669 is 1.

1. What is the GCD of 114, 689, 737, 669?

GCD of given numbers 114, 689, 737, 669 is 1

2. How to calculate the greatest common divisor of 114, 689, 737, 669?

We can find the highest common divisor of 114, 689, 737, 669 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 114, 689, 737, 669 i.e 1.

3. How can I use the GCD of 114, 689, 737, 669Calculator?

Out the numbers 114, 689, 737, 669 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.