GCD of 381, 291, 735, 747 Calculator

Given Input numbers are 381, 291, 735, 747

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 291 :

The positive integer divisors of 291 that completely divides 291 are.

1, 3, 97, 291

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

GCD of numbers is the greatest common divisor

So, the GCD (381, 291, 735, 747) = 3.

Given numbers are 381, 291, 735, 747

The list of prime factors of all numbers are

Prime factors of 381 are 3 x 127

Prime factors of 291 are 3 x 97

Prime factors of 735 are 3 x 5 x 7 x 7

Prime factors of 747 are 3 x 3 x 83

The highest common occurrence is 3¹

Therefore, GCD of 381, 291, 735, 747 is 3.

Given numbers are 381, 291, 735, 747

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

Apply this formula for all numbers.

Step1:

LCM(381, 291) = 36957

GCD(381, 291) = ( 381 x 291 ) / 36957

= 381 / 291

= 381

Step2:

LCM(3, 735) = 735

GCD(3, 735) = ( 3 x 735 ) / 735

= 3 / 735

= 3

Step3:

LCM(3, 747) = 747

GCD(3, 747) = ( 3 x 747 ) / 747

= 3 / 747

= 3

So, Greatest Common Divisor of 381, 291, 735, 747 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 130, 488, 540, 737
• GCD of 149, 335, 449, 680
• GCD of 315, 835, 572, 710
• GCD of 386, 957, 696, 334
• GCD of 193, 819, 186, 813

Given numbers are 381, 291, 735, 747
The greatest common divisor of numbers 381, 291, 735, 747 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 381, 291, 735, 747 is 3.

1. What is the GCD of 381, 291, 735, 747?

GCD of given numbers 381, 291, 735, 747 is 3

2. How to calculate the greatest common divisor of 381, 291, 735, 747?

We can find the highest common divisor of 381, 291, 735, 747 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, 291, 735, 747 i.e 3.

3. How can I use the GCD of 381, 291, 735, 747Calculator?

Out the numbers 381, 291, 735, 747 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.