GCD of 700, 734, 664, 312 Calculator

Given Input numbers are 700, 734, 664, 312

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 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

Divisors of 664 :

The positive integer divisors of 664 that completely divides 664 are.

1, 2, 4, 8, 83, 166, 332, 664

Divisors of 312 :

The positive integer divisors of 312 that completely divides 312 are.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 78, 104, 156, 312

GCD of numbers is the greatest common divisor

So, the GCD (700, 734, 664, 312) = 2.

Given numbers are 700, 734, 664, 312

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 734 are 2 x 367

Prime factors of 664 are 2 x 2 x 2 x 83

Prime factors of 312 are 2 x 2 x 2 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 700, 734, 664, 312 is 2.

Given numbers are 700, 734, 664, 312

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

Apply this formula for all numbers.

Step1:

LCM(700, 734) = 256900

GCD(700, 734) = ( 700 x 734 ) / 256900

= 700 / 734

= 700

Step2:

LCM(2, 664) = 664

GCD(2, 664) = ( 2 x 664 ) / 664

= 2 / 664

= 2

Step3:

LCM(2, 312) = 312

GCD(2, 312) = ( 2 x 312 ) / 312

= 2 / 312

= 2

So, Greatest Common Divisor of 700, 734, 664, 312 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 775, 309, 844, 324
• GCD of 639, 907, 601, 267
• GCD of 874, 295, 453, 667
• GCD of 698, 604, 772, 446
• GCD of 230, 556, 879, 692

Given numbers are 700, 734, 664, 312
The greatest common divisor of numbers 700, 734, 664, 312 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 734, 664, 312 is 2.

1. What is the GCD of 700, 734, 664, 312?

GCD of given numbers 700, 734, 664, 312 is 2

2. How to calculate the greatest common divisor of 700, 734, 664, 312?

We can find the highest common divisor of 700, 734, 664, 312 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, 734, 664, 312 i.e 2.

3. How can I use the GCD of 700, 734, 664, 312Calculator?

Out the numbers 700, 734, 664, 312 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.