GCD of 381, 747, 987, 616 Calculator

Given Input numbers are 381, 747, 987, 616

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

Divisors of 381 :

The positive integer divisors of 381 that completely divides 381 are.

1, 3, 127, 381

Divisors of 747 :

The positive integer divisors of 747 that completely divides 747 are.

1, 3, 9, 83, 249, 747

Divisors of 987 :

The positive integer divisors of 987 that completely divides 987 are.

1, 3, 7, 21, 47, 141, 329, 987

Divisors of 616 :

The positive integer divisors of 616 that completely divides 616 are.

1, 2, 4, 7, 8, 11, 14, 22, 28, 44, 56, 77, 88, 154, 308, 616

GCD of numbers is the greatest common divisor

So, the GCD (381, 747, 987, 616) = 1.

Given numbers are 381, 747, 987, 616

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 747 are 3 x 3 x 83

Prime factors of 987 are 3 x 7 x 47

Prime factors of 616 are 2 x 2 x 2 x 7 x 11

The above numbers do not have any common prime factor. So GCD is 1

Given numbers are 381, 747, 987, 616

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

Apply this formula for all numbers.

Step1:

LCM(381, 747) = 94869

GCD(381, 747) = ( 381 x 747 ) / 94869

= 381 / 747

= 381

Step2:

LCM(3, 987) = 987

GCD(3, 987) = ( 3 x 987 ) / 987

= 3 / 987

= 3

Step3:

LCM(3, 616) = 1848

GCD(3, 616) = ( 3 x 616 ) / 1848

= 3 / 616

= 3

So, Greatest Common Divisor of 381, 747, 987, 616 is 1

Here are some samples of GCD of Numbers calculations.

• GCD of 309, 159, 332, 735
• GCD of 408, 346, 712, 269
• GCD of 254, 152, 107, 325
• GCD of 845, 711, 703, 285
• GCD of 522, 717, 480, 660

Given numbers are 381, 747, 987, 616
The greatest common divisor of numbers 381, 747, 987, 616 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 747, 987, 616 is 1.

1. What is the GCD of 381, 747, 987, 616?

GCD of given numbers 381, 747, 987, 616 is 1

2. How to calculate the greatest common divisor of 381, 747, 987, 616?

We can find the highest common divisor of 381, 747, 987, 616 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 381, 747, 987, 616 i.e 1.

3. How can I use the GCD of 381, 747, 987, 616Calculator?

Out the numbers 381, 747, 987, 616 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.