GCD of 380, 614, 66, 142 Calculator

Given Input numbers are 380, 614, 66, 142

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 614 :

The positive integer divisors of 614 that completely divides 614 are.

1, 2, 307, 614

Divisors of 66 :

The positive integer divisors of 66 that completely divides 66 are.

1, 2, 3, 6, 11, 22, 33, 66

Divisors of 142 :

The positive integer divisors of 142 that completely divides 142 are.

1, 2, 71, 142

GCD of numbers is the greatest common divisor

So, the GCD (380, 614, 66, 142) = 2.

Given numbers are 380, 614, 66, 142

The list of prime factors of all numbers are

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

Prime factors of 614 are 2 x 307

Prime factors of 66 are 2 x 3 x 11

Prime factors of 142 are 2 x 71

The highest common occurrence is 2¹

Therefore, GCD of 380, 614, 66, 142 is 2.

Given numbers are 380, 614, 66, 142

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

Apply this formula for all numbers.

Step1:

LCM(380, 614) = 116660

GCD(380, 614) = ( 380 x 614 ) / 116660

= 380 / 614

= 380

Step2:

LCM(2, 66) = 66

GCD(2, 66) = ( 2 x 66 ) / 66

= 2 / 66

= 2

Step3:

LCM(2, 142) = 142

GCD(2, 142) = ( 2 x 142 ) / 142

= 2 / 142

= 2

So, Greatest Common Divisor of 380, 614, 66, 142 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 333, 473, 36, 896
• GCD of 124, 103, 96, 771
• GCD of 610, 807, 88, 993
• GCD of 307, 704, 58, 884
• GCD of 353, 511, 89, 598

Given numbers are 380, 614, 66, 142
The greatest common divisor of numbers 380, 614, 66, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 380, 614, 66, 142 is 2.

1. What is the GCD of 380, 614, 66, 142?

GCD of given numbers 380, 614, 66, 142 is 2

2. How to calculate the greatest common divisor of 380, 614, 66, 142?

We can find the highest common divisor of 380, 614, 66, 142 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, 614, 66, 142 i.e 2.

3. How can I use the GCD of 380, 614, 66, 142Calculator?

Out the numbers 380, 614, 66, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.