GCD of 716, 802, 316, 698 Calculator

Given Input numbers are 716, 802, 316, 698

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

Divisors of 716 :

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

1, 2, 4, 179, 358, 716

Divisors of 802 :

The positive integer divisors of 802 that completely divides 802 are.

1, 2, 401, 802

Divisors of 316 :

The positive integer divisors of 316 that completely divides 316 are.

1, 2, 4, 79, 158, 316

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 (716, 802, 316, 698) = 2.

Given numbers are 716, 802, 316, 698

The list of prime factors of all numbers are

Prime factors of 716 are 2 x 2 x 179

Prime factors of 802 are 2 x 401

Prime factors of 316 are 2 x 2 x 79

Prime factors of 698 are 2 x 349

The highest common occurrence is 2¹

Therefore, GCD of 716, 802, 316, 698 is 2.

Given numbers are 716, 802, 316, 698

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

Apply this formula for all numbers.

Step1:

LCM(716, 802) = 287116

GCD(716, 802) = ( 716 x 802 ) / 287116

= 716 / 802

= 716

Step2:

LCM(2, 316) = 316

GCD(2, 316) = ( 2 x 316 ) / 316

= 2 / 316

= 2

Step3:

LCM(2, 698) = 698

GCD(2, 698) = ( 2 x 698 ) / 698

= 2 / 698

= 2

So, Greatest Common Divisor of 716, 802, 316, 698 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 754, 208, 947, 897
• GCD of 603, 606, 317, 156
• GCD of 863, 897, 629, 667
• GCD of 266, 588, 314, 515
• GCD of 394, 544, 854, 759

Given numbers are 716, 802, 316, 698
The greatest common divisor of numbers 716, 802, 316, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 802, 316, 698 is 2.

1. What is the GCD of 716, 802, 316, 698?

GCD of given numbers 716, 802, 316, 698 is 2

2. How to calculate the greatest common divisor of 716, 802, 316, 698?

We can find the highest common divisor of 716, 802, 316, 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 716, 802, 316, 698 i.e 2.

3. How can I use the GCD of 716, 802, 316, 698Calculator?

Out the numbers 716, 802, 316, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.