GCD of 700, 731, 564, 310 Calculator

Given Input numbers are 700, 731, 564, 310

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

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

Divisors of 731 :

The positive integer divisors of 731 that completely divides 731 are.

1, 17, 43, 731

Divisors of 564 :

The positive integer divisors of 564 that completely divides 564 are.

1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564

Divisors of 310 :

The positive integer divisors of 310 that completely divides 310 are.

1, 2, 5, 10, 31, 62, 155, 310

GCD of numbers is the greatest common divisor

So, the GCD (700, 731, 564, 310) = 1.

Given numbers are 700, 731, 564, 310

The list of prime factors of all numbers are

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

Prime factors of 731 are 17 x 43

Prime factors of 564 are 2 x 2 x 3 x 47

Prime factors of 310 are 2 x 5 x 31

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

Given numbers are 700, 731, 564, 310

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

Apply this formula for all numbers.

Step1:

LCM(700, 731) = 511700

GCD(700, 731) = ( 700 x 731 ) / 511700

= 700 / 731

= 700

Step2:

LCM(1, 564) = 564

GCD(1, 564) = ( 1 x 564 ) / 564

= 1 / 564

= 1

Step3:

LCM(1, 310) = 310

GCD(1, 310) = ( 1 x 310 ) / 310

= 1 / 310

= 1

So, Greatest Common Divisor of 700, 731, 564, 310 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 842, 131, 791, 301
• GCD of 938, 994, 584, 955
• GCD of 786, 748, 479, 270
• GCD of 769, 431, 453, 999
• GCD of 364, 324, 869, 636

Given numbers are 700, 731, 564, 310
The greatest common divisor of numbers 700, 731, 564, 310 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 731, 564, 310 is 1.

1. What is the GCD of 700, 731, 564, 310?

GCD of given numbers 700, 731, 564, 310 is 1

2. How to calculate the greatest common divisor of 700, 731, 564, 310?

We can find the highest common divisor of 700, 731, 564, 310 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 700, 731, 564, 310 i.e 1.

3. How can I use the GCD of 700, 731, 564, 310Calculator?

Out the numbers 700, 731, 564, 310 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.