GCD of 307, 314, 550, 700 Calculator

Given Input numbers are 307, 314, 550, 700

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

Divisors of 307 :

The positive integer divisors of 307 that completely divides 307 are.

1, 307

Divisors of 314 :

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

1, 2, 157, 314

Divisors of 550 :

The positive integer divisors of 550 that completely divides 550 are.

1, 2, 5, 10, 11, 22, 25, 50, 55, 110, 275, 550

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

GCD of numbers is the greatest common divisor

So, the GCD (307, 314, 550, 700) = 1.

Given numbers are 307, 314, 550, 700

The list of prime factors of all numbers are

Prime factors of 307 are 307

Prime factors of 314 are 2 x 157

Prime factors of 550 are 2 x 5 x 5 x 11

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

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

Given numbers are 307, 314, 550, 700

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

Apply this formula for all numbers.

Step1:

LCM(307, 314) = 96398

GCD(307, 314) = ( 307 x 314 ) / 96398

= 307 / 314

= 307

Step2:

LCM(1, 550) = 550

GCD(1, 550) = ( 1 x 550 ) / 550

= 1 / 550

= 1

Step3:

LCM(1, 700) = 700

GCD(1, 700) = ( 1 x 700 ) / 700

= 1 / 700

= 1

So, Greatest Common Divisor of 307, 314, 550, 700 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 704, 283, 313, 452
• GCD of 839, 374, 214, 127
• GCD of 360, 595, 753, 176
• GCD of 913, 855, 800, 330
• GCD of 879, 978, 395, 447

Given numbers are 307, 314, 550, 700
The greatest common divisor of numbers 307, 314, 550, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 307, 314, 550, 700 is 1.

1. What is the GCD of 307, 314, 550, 700?

GCD of given numbers 307, 314, 550, 700 is 1

2. How to calculate the greatest common divisor of 307, 314, 550, 700?

We can find the highest common divisor of 307, 314, 550, 700 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 307, 314, 550, 700 i.e 1.

3. How can I use the GCD of 307, 314, 550, 700Calculator?

Out the numbers 307, 314, 550, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.