GCD of 114, 697, 512, 137 Calculator

Given Input numbers are 114, 697, 512, 137

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 697 :

The positive integer divisors of 697 that completely divides 697 are.

1, 17, 41, 697

Divisors of 512 :

The positive integer divisors of 512 that completely divides 512 are.

1, 2, 4, 8, 16, 32, 64, 128, 256, 512

Divisors of 137 :

The positive integer divisors of 137 that completely divides 137 are.

1, 137

GCD of numbers is the greatest common divisor

So, the GCD (114, 697, 512, 137) = 1.

Given numbers are 114, 697, 512, 137

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 697 are 17 x 41

Prime factors of 512 are 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 137 are 137

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

Given numbers are 114, 697, 512, 137

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

Apply this formula for all numbers.

Step1:

LCM(114, 697) = 79458

GCD(114, 697) = ( 114 x 697 ) / 79458

= 114 / 697

= 114

Step2:

LCM(1, 512) = 512

GCD(1, 512) = ( 1 x 512 ) / 512

= 1 / 512

= 1

Step3:

LCM(1, 137) = 137

GCD(1, 137) = ( 1 x 137 ) / 137

= 1 / 137

= 1

So, Greatest Common Divisor of 114, 697, 512, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 391, 314, 896, 846
• GCD of 860, 344, 647, 984
• GCD of 638, 842, 630, 298
• GCD of 319, 327, 506, 488
• GCD of 984, 866, 862, 421

Given numbers are 114, 697, 512, 137
The greatest common divisor of numbers 114, 697, 512, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 697, 512, 137 is 1.

1. What is the GCD of 114, 697, 512, 137?

GCD of given numbers 114, 697, 512, 137 is 1

2. How to calculate the greatest common divisor of 114, 697, 512, 137?

We can find the highest common divisor of 114, 697, 512, 137 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, 697, 512, 137 i.e 1.

3. How can I use the GCD of 114, 697, 512, 137Calculator?

Out the numbers 114, 697, 512, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.