GCD of 686, 736, 42, 694 Calculator

Given Input numbers are 686, 736, 42, 694

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

Divisors of 686 :

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

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

Divisors of 736 :

The positive integer divisors of 736 that completely divides 736 are.

1, 2, 4, 8, 16, 23, 32, 46, 92, 184, 368, 736

Divisors of 42 :

The positive integer divisors of 42 that completely divides 42 are.

1, 2, 3, 6, 7, 14, 21, 42

Divisors of 694 :

The positive integer divisors of 694 that completely divides 694 are.

1, 2, 347, 694

GCD of numbers is the greatest common divisor

So, the GCD (686, 736, 42, 694) = 2.

Given numbers are 686, 736, 42, 694

The list of prime factors of all numbers are

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

Prime factors of 736 are 2 x 2 x 2 x 2 x 2 x 23

Prime factors of 42 are 2 x 3 x 7

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 686, 736, 42, 694 is 2.

Given numbers are 686, 736, 42, 694

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

Apply this formula for all numbers.

Step1:

LCM(686, 736) = 252448

GCD(686, 736) = ( 686 x 736 ) / 252448

= 686 / 736

= 686

Step2:

LCM(2, 42) = 42

GCD(2, 42) = ( 2 x 42 ) / 42

= 2 / 42

= 2

Step3:

LCM(2, 694) = 694

GCD(2, 694) = ( 2 x 694 ) / 694

= 2 / 694

= 2

So, Greatest Common Divisor of 686, 736, 42, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 481, 530, 44, 314
• GCD of 247, 163, 19, 375
• GCD of 585, 457, 24, 281
• GCD of 611, 858, 56, 443
• GCD of 824, 464, 71, 720

Given numbers are 686, 736, 42, 694
The greatest common divisor of numbers 686, 736, 42, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 686, 736, 42, 694 is 2.

1. What is the GCD of 686, 736, 42, 694?

GCD of given numbers 686, 736, 42, 694 is 2

2. How to calculate the greatest common divisor of 686, 736, 42, 694?

We can find the highest common divisor of 686, 736, 42, 694 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 686, 736, 42, 694 i.e 2.

3. How can I use the GCD of 686, 736, 42, 694Calculator?

Out the numbers 686, 736, 42, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.