GCD of 720, 378, 346, 308 Calculator

Given Input numbers are 720, 378, 346, 308

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

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

Divisors of 378 :

The positive integer divisors of 378 that completely divides 378 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 27, 42, 54, 63, 126, 189, 378

Divisors of 346 :

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

1, 2, 173, 346

Divisors of 308 :

The positive integer divisors of 308 that completely divides 308 are.

1, 2, 4, 7, 11, 14, 22, 28, 44, 77, 154, 308

GCD of numbers is the greatest common divisor

So, the GCD (720, 378, 346, 308) = 2.

Given numbers are 720, 378, 346, 308

The list of prime factors of all numbers are

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

Prime factors of 378 are 2 x 3 x 3 x 3 x 7

Prime factors of 346 are 2 x 173

Prime factors of 308 are 2 x 2 x 7 x 11

The highest common occurrence is 2¹

Therefore, GCD of 720, 378, 346, 308 is 2.

Given numbers are 720, 378, 346, 308

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

Apply this formula for all numbers.

Step1:

LCM(720, 378) = 15120

GCD(720, 378) = ( 720 x 378 ) / 15120

= 720 / 378

= 720

Step2:

LCM(18, 346) = 3114

GCD(18, 346) = ( 18 x 346 ) / 3114

= 18 / 346

= 18

Step3:

LCM(2, 308) = 308

GCD(2, 308) = ( 2 x 308 ) / 308

= 2 / 308

= 2

So, Greatest Common Divisor of 720, 378, 346, 308 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 913, 195, 628, 131
• GCD of 310, 514, 953, 739
• GCD of 566, 266, 892, 695
• GCD of 878, 805, 903, 753
• GCD of 181, 315, 377, 635

Given numbers are 720, 378, 346, 308
The greatest common divisor of numbers 720, 378, 346, 308 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 720, 378, 346, 308 is 2.

1. What is the GCD of 720, 378, 346, 308?

GCD of given numbers 720, 378, 346, 308 is 2

2. How to calculate the greatest common divisor of 720, 378, 346, 308?

We can find the highest common divisor of 720, 378, 346, 308 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 720, 378, 346, 308 i.e 2.

3. How can I use the GCD of 720, 378, 346, 308Calculator?

Out the numbers 720, 378, 346, 308 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.