GCD of 652, 300, 688, 346 Calculator

Given Input numbers are 652, 300, 688, 346

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

Divisors of 652 :

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

1, 2, 4, 163, 326, 652

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

Divisors of 688 :

The positive integer divisors of 688 that completely divides 688 are.

1, 2, 4, 8, 16, 43, 86, 172, 344, 688

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

GCD of numbers is the greatest common divisor

So, the GCD (652, 300, 688, 346) = 2.

Given numbers are 652, 300, 688, 346

The list of prime factors of all numbers are

Prime factors of 652 are 2 x 2 x 163

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

Prime factors of 688 are 2 x 2 x 2 x 2 x 43

Prime factors of 346 are 2 x 173

The highest common occurrence is 2¹

Therefore, GCD of 652, 300, 688, 346 is 2.

Given numbers are 652, 300, 688, 346

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

Apply this formula for all numbers.

Step1:

LCM(652, 300) = 48900

GCD(652, 300) = ( 652 x 300 ) / 48900

= 652 / 300

= 652

Step2:

LCM(4, 688) = 688

GCD(4, 688) = ( 4 x 688 ) / 688

= 4 / 688

= 4

Step3:

LCM(4, 346) = 692

GCD(4, 346) = ( 4 x 346 ) / 692

= 4 / 346

= 4

So, Greatest Common Divisor of 652, 300, 688, 346 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 830, 954, 669, 786
• GCD of 173, 913, 187, 945
• GCD of 700, 487, 850, 126
• GCD of 540, 170, 636, 109
• GCD of 349, 592, 765, 241

Given numbers are 652, 300, 688, 346
The greatest common divisor of numbers 652, 300, 688, 346 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 652, 300, 688, 346 is 2.

1. What is the GCD of 652, 300, 688, 346?

GCD of given numbers 652, 300, 688, 346 is 2

2. How to calculate the greatest common divisor of 652, 300, 688, 346?

We can find the highest common divisor of 652, 300, 688, 346 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 652, 300, 688, 346 i.e 2.

3. How can I use the GCD of 652, 300, 688, 346Calculator?

Out the numbers 652, 300, 688, 346 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.