GCD of 380, 686, 172, 694 Calculator

Given Input numbers are 380, 686, 172, 694

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

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

Divisors of 686 :

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

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

Divisors of 172 :

The positive integer divisors of 172 that completely divides 172 are.

1, 2, 4, 43, 86, 172

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 (380, 686, 172, 694) = 2.

Given numbers are 380, 686, 172, 694

The list of prime factors of all numbers are

Prime factors of 380 are 2 x 2 x 5 x 19

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

Prime factors of 172 are 2 x 2 x 43

Prime factors of 694 are 2 x 347

The highest common occurrence is 2¹

Therefore, GCD of 380, 686, 172, 694 is 2.

Given numbers are 380, 686, 172, 694

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

Apply this formula for all numbers.

Step1:

LCM(380, 686) = 130340

GCD(380, 686) = ( 380 x 686 ) / 130340

= 380 / 686

= 380

Step2:

LCM(2, 172) = 172

GCD(2, 172) = ( 2 x 172 ) / 172

= 2 / 172

= 2

Step3:

LCM(2, 694) = 694

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

= 2 / 694

= 2

So, Greatest Common Divisor of 380, 686, 172, 694 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 495, 427, 853, 472
• GCD of 140, 641, 134, 606
• GCD of 337, 257, 855, 693
• GCD of 298, 374, 112, 323
• GCD of 553, 242, 224, 760

Given numbers are 380, 686, 172, 694
The greatest common divisor of numbers 380, 686, 172, 694 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 686, 172, 694 is 2.

1. What is the GCD of 380, 686, 172, 694?

GCD of given numbers 380, 686, 172, 694 is 2

2. How to calculate the greatest common divisor of 380, 686, 172, 694?

We can find the highest common divisor of 380, 686, 172, 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 380, 686, 172, 694 i.e 2.

3. How can I use the GCD of 380, 686, 172, 694Calculator?

Out the numbers 380, 686, 172, 694 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.