GCD of 682, 916, 742 Calculator

Given Input numbers are 682, 916, 742

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

Divisors of 682 :

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

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

Divisors of 916 :

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

1, 2, 4, 229, 458, 916

Divisors of 742 :

The positive integer divisors of 742 that completely divides 742 are.

1, 2, 7, 14, 53, 106, 371, 742

GCD of numbers is the greatest common divisor

So, the GCD (682, 916, 742) = 2.

Given numbers are 682, 916, 742

The list of prime factors of all numbers are

Prime factors of 682 are 2 x 11 x 31

Prime factors of 916 are 2 x 2 x 229

Prime factors of 742 are 2 x 7 x 53

The highest common occurrence is 2¹

Therefore, GCD of 682, 916, 742 is 2.

Given numbers are 682, 916, 742

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

Apply this formula for all numbers.

Step1:

LCM(682, 916) = 312356

GCD(682, 916) = ( 682 x 916 ) / 312356

= 682 / 916

= 682

Step2:

LCM(2, 742) = 742

GCD(2, 742) = ( 2 x 742 ) / 742

= 2 / 742

= 2

So, Greatest Common Divisor of 682, 916, 742 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 886, 327, 160
• GCD of 973, 132, 450
• GCD of 547, 544, 773
• GCD of 932, 276, 150
• GCD of 720, 314, 692

Given numbers are 682, 916, 742
The greatest common divisor of numbers 682, 916, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 916, 742 is 2.

1. What is the GCD of 682, 916, 742?

GCD of given numbers 682, 916, 742 is 2

2. How to calculate the greatest common divisor of 682, 916, 742?

We can find the highest common divisor of 682, 916, 742 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 682, 916, 742 i.e 2.

3. How can I use the GCD of 682, 916, 742Calculator?

Out the numbers 682, 916, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.