GCD of 344, 360, 222, 702 Calculator

Given Input numbers are 344, 360, 222, 702

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

Divisors of 344 :

The positive integer divisors of 344 that completely divides 344 are.

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Divisors of 222 :

The positive integer divisors of 222 that completely divides 222 are.

1, 2, 3, 6, 37, 74, 111, 222

Divisors of 702 :

The positive integer divisors of 702 that completely divides 702 are.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702

GCD of numbers is the greatest common divisor

So, the GCD (344, 360, 222, 702) = 2.

Given numbers are 344, 360, 222, 702

The list of prime factors of all numbers are

Prime factors of 344 are 2 x 2 x 2 x 43

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 222 are 2 x 3 x 37

Prime factors of 702 are 2 x 3 x 3 x 3 x 13

The highest common occurrence is 2¹

Therefore, GCD of 344, 360, 222, 702 is 2.

Given numbers are 344, 360, 222, 702

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

Apply this formula for all numbers.

Step1:

LCM(344, 360) = 15480

GCD(344, 360) = ( 344 x 360 ) / 15480

= 344 / 360

= 344

Step2:

LCM(8, 222) = 888

GCD(8, 222) = ( 8 x 222 ) / 888

= 8 / 222

= 8

Step3:

LCM(2, 702) = 702

GCD(2, 702) = ( 2 x 702 ) / 702

= 2 / 702

= 2

So, Greatest Common Divisor of 344, 360, 222, 702 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 438, 585, 794, 529
• GCD of 555, 112, 545, 397
• GCD of 530, 794, 581, 504
• GCD of 360, 160, 197, 661
• GCD of 507, 570, 868, 620

Given numbers are 344, 360, 222, 702
The greatest common divisor of numbers 344, 360, 222, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 344, 360, 222, 702 is 2.

1. What is the GCD of 344, 360, 222, 702?

GCD of given numbers 344, 360, 222, 702 is 2

2. How to calculate the greatest common divisor of 344, 360, 222, 702?

We can find the highest common divisor of 344, 360, 222, 702 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 344, 360, 222, 702 i.e 2.

3. How can I use the GCD of 344, 360, 222, 702Calculator?

Out the numbers 344, 360, 222, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.