GCD of 700, 652, 728, 334 Calculator

Given Input numbers are 700, 652, 728, 334

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 652 :

The positive integer divisors of 652 that completely divides 652 are.

1, 2, 4, 163, 326, 652

Divisors of 728 :

The positive integer divisors of 728 that completely divides 728 are.

1, 2, 4, 7, 8, 13, 14, 26, 28, 52, 56, 91, 104, 182, 364, 728

Divisors of 334 :

The positive integer divisors of 334 that completely divides 334 are.

1, 2, 167, 334

GCD of numbers is the greatest common divisor

So, the GCD (700, 652, 728, 334) = 2.

Given numbers are 700, 652, 728, 334

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 652 are 2 x 2 x 163

Prime factors of 728 are 2 x 2 x 2 x 7 x 13

Prime factors of 334 are 2 x 167

The highest common occurrence is 2¹

Therefore, GCD of 700, 652, 728, 334 is 2.

Given numbers are 700, 652, 728, 334

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

Apply this formula for all numbers.

Step1:

LCM(700, 652) = 114100

GCD(700, 652) = ( 700 x 652 ) / 114100

= 700 / 652

= 700

Step2:

LCM(4, 728) = 728

GCD(4, 728) = ( 4 x 728 ) / 728

= 4 / 728

= 4

Step3:

LCM(4, 334) = 668

GCD(4, 334) = ( 4 x 334 ) / 668

= 4 / 334

= 4

So, Greatest Common Divisor of 700, 652, 728, 334 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 577, 971, 568, 644
• GCD of 241, 230, 749, 348
• GCD of 663, 333, 576, 902
• GCD of 131, 299, 615, 161
• GCD of 111, 382, 503, 313

Given numbers are 700, 652, 728, 334
The greatest common divisor of numbers 700, 652, 728, 334 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 652, 728, 334 is 2.

1. What is the GCD of 700, 652, 728, 334?

GCD of given numbers 700, 652, 728, 334 is 2

2. How to calculate the greatest common divisor of 700, 652, 728, 334?

We can find the highest common divisor of 700, 652, 728, 334 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, 652, 728, 334 i.e 2.

3. How can I use the GCD of 700, 652, 728, 334Calculator?

Out the numbers 700, 652, 728, 334 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.