GCD of 297, 126, 180, 348 Calculator

Given Input numbers are 297, 126, 180, 348

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

Divisors of 297 :

The positive integer divisors of 297 that completely divides 297 are.

1, 3, 9, 11, 27, 33, 99, 297

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 180 :

The positive integer divisors of 180 that completely divides 180 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 30, 36, 45, 60, 90, 180

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (297, 126, 180, 348) = 3.

Given numbers are 297, 126, 180, 348

The list of prime factors of all numbers are

Prime factors of 297 are 3 x 3 x 3 x 11

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

Prime factors of 180 are 2 x 2 x 3 x 3 x 5

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 297, 126, 180, 348 is 3.

Given numbers are 297, 126, 180, 348

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

Apply this formula for all numbers.

Step1:

LCM(297, 126) = 4158

GCD(297, 126) = ( 297 x 126 ) / 4158

= 297 / 126

= 297

Step2:

LCM(9, 180) = 180

GCD(9, 180) = ( 9 x 180 ) / 180

= 9 / 180

= 9

Step3:

LCM(9, 348) = 1044

GCD(9, 348) = ( 9 x 348 ) / 1044

= 9 / 348

= 9

So, Greatest Common Divisor of 297, 126, 180, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 295, 848, 252, 428
• GCD of 355, 697, 977, 730
• GCD of 210, 155, 975, 255
• GCD of 366, 203, 220, 971
• GCD of 492, 706, 207, 690

Given numbers are 297, 126, 180, 348
The greatest common divisor of numbers 297, 126, 180, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 297, 126, 180, 348 is 3.

1. What is the GCD of 297, 126, 180, 348?

GCD of given numbers 297, 126, 180, 348 is 3

2. How to calculate the greatest common divisor of 297, 126, 180, 348?

We can find the highest common divisor of 297, 126, 180, 348 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 297, 126, 180, 348 i.e 3.

3. How can I use the GCD of 297, 126, 180, 348Calculator?

Out the numbers 297, 126, 180, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.