GCD of 616, 916, 698 Calculator

Given Input numbers are 616, 916, 698

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

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

Divisors of 916 :

The positive integer divisors of 916 that completely divides 916 are.

1, 2, 4, 229, 458, 916

Divisors of 698 :

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

1, 2, 349, 698

GCD of numbers is the greatest common divisor

So, the GCD (616, 916, 698) = 2.

Given numbers are 616, 916, 698

The list of prime factors of all numbers are

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

Prime factors of 916 are 2 x 2 x 229

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 616, 916, 698 is 2.

Given numbers are 616, 916, 698

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

Apply this formula for all numbers.

Step1:

LCM(616, 916) = 141064

GCD(616, 916) = ( 616 x 916 ) / 141064

= 616 / 916

= 616

Step2:

LCM(4, 698) = 1396

GCD(4, 698) = ( 4 x 698 ) / 1396

= 4 / 698

= 4

So, Greatest Common Divisor of 616, 916, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 419, 888, 558
• GCD of 141, 187, 863
• GCD of 248, 428, 105
• GCD of 593, 427, 209
• GCD of 791, 606, 680

Given numbers are 616, 916, 698
The greatest common divisor of numbers 616, 916, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 616, 916, 698 is 2.

1. What is the GCD of 616, 916, 698?

GCD of given numbers 616, 916, 698 is 2

2. How to calculate the greatest common divisor of 616, 916, 698?

We can find the highest common divisor of 616, 916, 698 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 616, 916, 698 i.e 2.

3. How can I use the GCD of 616, 916, 698Calculator?

Out the numbers 616, 916, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.