GCD of 316, 698, 366, 734 Calculator

Given Input numbers are 316, 698, 366, 734

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

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

Divisors of 366 :

The positive integer divisors of 366 that completely divides 366 are.

1, 2, 3, 6, 61, 122, 183, 366

Divisors of 734 :

The positive integer divisors of 734 that completely divides 734 are.

1, 2, 367, 734

GCD of numbers is the greatest common divisor

So, the GCD (316, 698, 366, 734) = 2.

Given numbers are 316, 698, 366, 734

The list of prime factors of all numbers are

Prime factors of 316 are 2 x 2 x 79

Prime factors of 698 are 2 x 349

Prime factors of 366 are 2 x 3 x 61

Prime factors of 734 are 2 x 367

The highest common occurrence is 2¹

Therefore, GCD of 316, 698, 366, 734 is 2.

Given numbers are 316, 698, 366, 734

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

Apply this formula for all numbers.

Step1:

LCM(316, 698) = 110284

GCD(316, 698) = ( 316 x 698 ) / 110284

= 316 / 698

= 316

Step2:

LCM(2, 366) = 366

GCD(2, 366) = ( 2 x 366 ) / 366

= 2 / 366

= 2

Step3:

LCM(2, 734) = 734

GCD(2, 734) = ( 2 x 734 ) / 734

= 2 / 734

= 2

So, Greatest Common Divisor of 316, 698, 366, 734 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 318, 317, 746, 972
• GCD of 279, 422, 157, 211
• GCD of 896, 483, 802, 318
• GCD of 368, 743, 237, 438
• GCD of 565, 913, 512, 686

Given numbers are 316, 698, 366, 734
The greatest common divisor of numbers 316, 698, 366, 734 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 316, 698, 366, 734 is 2.

1. What is the GCD of 316, 698, 366, 734?

GCD of given numbers 316, 698, 366, 734 is 2

2. How to calculate the greatest common divisor of 316, 698, 366, 734?

We can find the highest common divisor of 316, 698, 366, 734 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 316, 698, 366, 734 i.e 2.

3. How can I use the GCD of 316, 698, 366, 734Calculator?

Out the numbers 316, 698, 366, 734 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.