GCD of 375, 198, 126, 297 Calculator

Given Input numbers are 375, 198, 126, 297

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

Divisors of 375 :

The positive integer divisors of 375 that completely divides 375 are.

1, 3, 5, 15, 25, 75, 125, 375

Divisors of 198 :

The positive integer divisors of 198 that completely divides 198 are.

1, 2, 3, 6, 9, 11, 18, 22, 33, 66, 99, 198

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 297 :

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

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

GCD of numbers is the greatest common divisor

So, the GCD (375, 198, 126, 297) = 3.

Given numbers are 375, 198, 126, 297

The list of prime factors of all numbers are

Prime factors of 375 are 3 x 5 x 5 x 5

Prime factors of 198 are 2 x 3 x 3 x 11

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

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

The highest common occurrence is 3¹

Therefore, GCD of 375, 198, 126, 297 is 3.

Given numbers are 375, 198, 126, 297

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

Apply this formula for all numbers.

Step1:

LCM(375, 198) = 24750

GCD(375, 198) = ( 375 x 198 ) / 24750

= 375 / 198

= 375

Step2:

LCM(3, 126) = 126

GCD(3, 126) = ( 3 x 126 ) / 126

= 3 / 126

= 3

Step3:

LCM(3, 297) = 297

GCD(3, 297) = ( 3 x 297 ) / 297

= 3 / 297

= 3

So, Greatest Common Divisor of 375, 198, 126, 297 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 859, 265, 291, 627
• GCD of 299, 917, 120, 937
• GCD of 832, 373, 360, 608
• GCD of 938, 291, 142, 849
• GCD of 719, 153, 733, 227

Given numbers are 375, 198, 126, 297
The greatest common divisor of numbers 375, 198, 126, 297 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 375, 198, 126, 297 is 3.

1. What is the GCD of 375, 198, 126, 297?

GCD of given numbers 375, 198, 126, 297 is 3

2. How to calculate the greatest common divisor of 375, 198, 126, 297?

We can find the highest common divisor of 375, 198, 126, 297 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 375, 198, 126, 297 i.e 3.

3. How can I use the GCD of 375, 198, 126, 297Calculator?

Out the numbers 375, 198, 126, 297 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.