GCD of 888, 402, 747, 114 Calculator

Given Input numbers are 888, 402, 747, 114

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

Divisors of 888 :

The positive integer divisors of 888 that completely divides 888 are.

1, 2, 3, 4, 6, 8, 12, 24, 37, 74, 111, 148, 222, 296, 444, 888

Divisors of 402 :

The positive integer divisors of 402 that completely divides 402 are.

1, 2, 3, 6, 67, 134, 201, 402

Divisors of 747 :

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

1, 3, 9, 83, 249, 747

Divisors of 114 :

The positive integer divisors of 114 that completely divides 114 are.

1, 2, 3, 6, 19, 38, 57, 114

GCD of numbers is the greatest common divisor

So, the GCD (888, 402, 747, 114) = 3.

Given numbers are 888, 402, 747, 114

The list of prime factors of all numbers are

Prime factors of 888 are 2 x 2 x 2 x 3 x 37

Prime factors of 402 are 2 x 3 x 67

Prime factors of 747 are 3 x 3 x 83

Prime factors of 114 are 2 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 888, 402, 747, 114 is 3.

Given numbers are 888, 402, 747, 114

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

Apply this formula for all numbers.

Step1:

LCM(888, 402) = 59496

GCD(888, 402) = ( 888 x 402 ) / 59496

= 888 / 402

= 888

Step2:

LCM(6, 747) = 1494

GCD(6, 747) = ( 6 x 747 ) / 1494

= 6 / 747

= 6

Step3:

LCM(3, 114) = 114

GCD(3, 114) = ( 3 x 114 ) / 114

= 3 / 114

= 3

So, Greatest Common Divisor of 888, 402, 747, 114 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 435, 845, 462, 632
• GCD of 436, 800, 892, 567
• GCD of 202, 406, 585, 935
• GCD of 232, 351, 264, 610
• GCD of 616, 702, 651, 199

Given numbers are 888, 402, 747, 114
The greatest common divisor of numbers 888, 402, 747, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 888, 402, 747, 114 is 3.

1. What is the GCD of 888, 402, 747, 114?

GCD of given numbers 888, 402, 747, 114 is 3

2. How to calculate the greatest common divisor of 888, 402, 747, 114?

We can find the highest common divisor of 888, 402, 747, 114 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 888, 402, 747, 114 i.e 3.

3. How can I use the GCD of 888, 402, 747, 114Calculator?

Out the numbers 888, 402, 747, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.