GCD of 694, 160, 76, 300 Calculator

Given Input numbers are 694, 160, 76, 300

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

Divisors of 694 :

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

1, 2, 347, 694

Divisors of 160 :

The positive integer divisors of 160 that completely divides 160 are.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160

Divisors of 76 :

The positive integer divisors of 76 that completely divides 76 are.

1, 2, 4, 19, 38, 76

Divisors of 300 :

The positive integer divisors of 300 that completely divides 300 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

GCD of numbers is the greatest common divisor

So, the GCD (694, 160, 76, 300) = 2.

Given numbers are 694, 160, 76, 300

The list of prime factors of all numbers are

Prime factors of 694 are 2 x 347

Prime factors of 160 are 2 x 2 x 2 x 2 x 2 x 5

Prime factors of 76 are 2 x 2 x 19

Prime factors of 300 are 2 x 2 x 3 x 5 x 5

The highest common occurrence is 2¹

Therefore, GCD of 694, 160, 76, 300 is 2.

Given numbers are 694, 160, 76, 300

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

Apply this formula for all numbers.

Step1:

LCM(694, 160) = 55520

GCD(694, 160) = ( 694 x 160 ) / 55520

= 694 / 160

= 694

Step2:

LCM(2, 76) = 76

GCD(2, 76) = ( 2 x 76 ) / 76

= 2 / 76

= 2

Step3:

LCM(2, 300) = 300

GCD(2, 300) = ( 2 x 300 ) / 300

= 2 / 300

= 2

So, Greatest Common Divisor of 694, 160, 76, 300 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 184, 61, 569
• GCD of 677, 261, 69, 397
• GCD of 623, 464, 90, 782
• GCD of 377, 793, 78, 939
• GCD of 462, 272, 19, 958

Given numbers are 694, 160, 76, 300
The greatest common divisor of numbers 694, 160, 76, 300 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 694, 160, 76, 300 is 2.

1. What is the GCD of 694, 160, 76, 300?

GCD of given numbers 694, 160, 76, 300 is 2

2. How to calculate the greatest common divisor of 694, 160, 76, 300?

We can find the highest common divisor of 694, 160, 76, 300 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 694, 160, 76, 300 i.e 2.

3. How can I use the GCD of 694, 160, 76, 300Calculator?

Out the numbers 694, 160, 76, 300 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.