GCD of 740, 306, 686, 682 Calculator

Given Input numbers are 740, 306, 686, 682

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

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 306 :

The positive integer divisors of 306 that completely divides 306 are.

1, 2, 3, 6, 9, 17, 18, 34, 51, 102, 153, 306

Divisors of 686 :

The positive integer divisors of 686 that completely divides 686 are.

1, 2, 7, 14, 49, 98, 343, 686

Divisors of 682 :

The positive integer divisors of 682 that completely divides 682 are.

1, 2, 11, 22, 31, 62, 341, 682

GCD of numbers is the greatest common divisor

So, the GCD (740, 306, 686, 682) = 2.

Given numbers are 740, 306, 686, 682

The list of prime factors of all numbers are

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 306 are 2 x 3 x 3 x 17

Prime factors of 686 are 2 x 7 x 7 x 7

Prime factors of 682 are 2 x 11 x 31

The highest common occurrence is 2¹

Therefore, GCD of 740, 306, 686, 682 is 2.

Given numbers are 740, 306, 686, 682

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

Apply this formula for all numbers.

Step1:

LCM(740, 306) = 113220

GCD(740, 306) = ( 740 x 306 ) / 113220

= 740 / 306

= 740

Step2:

LCM(2, 686) = 686

GCD(2, 686) = ( 2 x 686 ) / 686

= 2 / 686

= 2

Step3:

LCM(2, 682) = 682

GCD(2, 682) = ( 2 x 682 ) / 682

= 2 / 682

= 2

So, Greatest Common Divisor of 740, 306, 686, 682 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 741, 464, 911, 993
• GCD of 840, 682, 711, 263
• GCD of 939, 896, 101, 158
• GCD of 298, 647, 411, 923
• GCD of 652, 877, 926, 156

Given numbers are 740, 306, 686, 682
The greatest common divisor of numbers 740, 306, 686, 682 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 306, 686, 682 is 2.

1. What is the GCD of 740, 306, 686, 682?

GCD of given numbers 740, 306, 686, 682 is 2

2. How to calculate the greatest common divisor of 740, 306, 686, 682?

We can find the highest common divisor of 740, 306, 686, 682 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 740, 306, 686, 682 i.e 2.

3. How can I use the GCD of 740, 306, 686, 682Calculator?

Out the numbers 740, 306, 686, 682 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.