GCD of 314, 584, 712, 137 Calculator

Given Input numbers are 314, 584, 712, 137

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

Divisors of 314 :

The positive integer divisors of 314 that completely divides 314 are.

1, 2, 157, 314

Divisors of 584 :

The positive integer divisors of 584 that completely divides 584 are.

1, 2, 4, 8, 73, 146, 292, 584

Divisors of 712 :

The positive integer divisors of 712 that completely divides 712 are.

1, 2, 4, 8, 89, 178, 356, 712

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 (314, 584, 712, 137) = 1.

Given numbers are 314, 584, 712, 137

The list of prime factors of all numbers are

Prime factors of 314 are 2 x 157

Prime factors of 584 are 2 x 2 x 2 x 73

Prime factors of 712 are 2 x 2 x 2 x 89

Prime factors of 137 are 137

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

Given numbers are 314, 584, 712, 137

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

Apply this formula for all numbers.

Step1:

LCM(314, 584) = 91688

GCD(314, 584) = ( 314 x 584 ) / 91688

= 314 / 584

= 314

Step2:

LCM(2, 712) = 712

GCD(2, 712) = ( 2 x 712 ) / 712

= 2 / 712

= 2

Step3:

LCM(2, 137) = 274

GCD(2, 137) = ( 2 x 137 ) / 274

= 2 / 137

= 2

So, Greatest Common Divisor of 314, 584, 712, 137 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 991, 517, 865, 568
• GCD of 126, 234, 217, 424
• GCD of 959, 487, 623, 893
• GCD of 345, 745, 637, 152
• GCD of 603, 804, 641, 616

Given numbers are 314, 584, 712, 137
The greatest common divisor of numbers 314, 584, 712, 137 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 314, 584, 712, 137 is 1.

1. What is the GCD of 314, 584, 712, 137?

GCD of given numbers 314, 584, 712, 137 is 1

2. How to calculate the greatest common divisor of 314, 584, 712, 137?

We can find the highest common divisor of 314, 584, 712, 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 314, 584, 712, 137 i.e 1.

3. How can I use the GCD of 314, 584, 712, 137Calculator?

Out the numbers 314, 584, 712, 137 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.