GCD of 308, 698, 492, 716 Calculator

Given Input numbers are 308, 698, 492, 716

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

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

Divisors of 698 :

The positive integer divisors of 698 that completely divides 698 are.

1, 2, 349, 698

Divisors of 492 :

The positive integer divisors of 492 that completely divides 492 are.

1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492

Divisors of 716 :

The positive integer divisors of 716 that completely divides 716 are.

1, 2, 4, 179, 358, 716

GCD of numbers is the greatest common divisor

So, the GCD (308, 698, 492, 716) = 2.

Given numbers are 308, 698, 492, 716

The list of prime factors of all numbers are

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

Prime factors of 698 are 2 x 349

Prime factors of 492 are 2 x 2 x 3 x 41

Prime factors of 716 are 2 x 2 x 179

The highest common occurrence is 2¹

Therefore, GCD of 308, 698, 492, 716 is 2.

Given numbers are 308, 698, 492, 716

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

Apply this formula for all numbers.

Step1:

LCM(308, 698) = 107492

GCD(308, 698) = ( 308 x 698 ) / 107492

= 308 / 698

= 308

Step2:

LCM(2, 492) = 492

GCD(2, 492) = ( 2 x 492 ) / 492

= 2 / 492

= 2

Step3:

LCM(2, 716) = 716

GCD(2, 716) = ( 2 x 716 ) / 716

= 2 / 716

= 2

So, Greatest Common Divisor of 308, 698, 492, 716 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 785, 361, 339, 897
• GCD of 592, 954, 310, 825
• GCD of 201, 816, 341, 135
• GCD of 728, 272, 913, 192
• GCD of 809, 910, 119, 349

Given numbers are 308, 698, 492, 716
The greatest common divisor of numbers 308, 698, 492, 716 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 308, 698, 492, 716 is 2.

1. What is the GCD of 308, 698, 492, 716?

GCD of given numbers 308, 698, 492, 716 is 2

2. How to calculate the greatest common divisor of 308, 698, 492, 716?

We can find the highest common divisor of 308, 698, 492, 716 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 308, 698, 492, 716 i.e 2.

3. How can I use the GCD of 308, 698, 492, 716Calculator?

Out the numbers 308, 698, 492, 716 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.