GCD of 114, 126, 357, 588 Calculator

Given Input numbers are 114, 126, 357, 588

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

Divisors of 114 :

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

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

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 357 :

The positive integer divisors of 357 that completely divides 357 are.

1, 3, 7, 17, 21, 51, 119, 357

Divisors of 588 :

The positive integer divisors of 588 that completely divides 588 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 49, 84, 98, 147, 196, 294, 588

GCD of numbers is the greatest common divisor

So, the GCD (114, 126, 357, 588) = 3.

Given numbers are 114, 126, 357, 588

The list of prime factors of all numbers are

Prime factors of 114 are 2 x 3 x 19

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 357 are 3 x 7 x 17

Prime factors of 588 are 2 x 2 x 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 114, 126, 357, 588 is 3.

Given numbers are 114, 126, 357, 588

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

Apply this formula for all numbers.

Step1:

LCM(114, 126) = 2394

GCD(114, 126) = ( 114 x 126 ) / 2394

= 114 / 126

= 114

Step2:

LCM(6, 357) = 714

GCD(6, 357) = ( 6 x 357 ) / 714

= 6 / 357

= 6

Step3:

LCM(3, 588) = 588

GCD(3, 588) = ( 3 x 588 ) / 588

= 3 / 588

= 3

So, Greatest Common Divisor of 114, 126, 357, 588 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 692, 314, 203, 644
• GCD of 690, 264, 556, 288
• GCD of 354, 961, 614, 751
• GCD of 505, 710, 999, 333
• GCD of 116, 893, 776, 773

Given numbers are 114, 126, 357, 588
The greatest common divisor of numbers 114, 126, 357, 588 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 114, 126, 357, 588 is 3.

1. What is the GCD of 114, 126, 357, 588?

GCD of given numbers 114, 126, 357, 588 is 3

2. How to calculate the greatest common divisor of 114, 126, 357, 588?

We can find the highest common divisor of 114, 126, 357, 588 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 114, 126, 357, 588 i.e 3.

3. How can I use the GCD of 114, 126, 357, 588Calculator?

Out the numbers 114, 126, 357, 588 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.