GCD of 120, 126, 375, 360 Calculator

Given Input numbers are 120, 126, 375, 360

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

Divisors of 120 :

The positive integer divisors of 120 that completely divides 120 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120

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 375 :

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

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

Divisors of 360 :

The positive integer divisors of 360 that completely divides 360 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

GCD of numbers is the greatest common divisor

So, the GCD (120, 126, 375, 360) = 3.

Given numbers are 120, 126, 375, 360

The list of prime factors of all numbers are

Prime factors of 120 are 2 x 2 x 2 x 3 x 5

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

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

Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 120, 126, 375, 360 is 3.

Given numbers are 120, 126, 375, 360

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

Apply this formula for all numbers.

Step1:

LCM(120, 126) = 2520

GCD(120, 126) = ( 120 x 126 ) / 2520

= 120 / 126

= 120

Step2:

LCM(6, 375) = 750

GCD(6, 375) = ( 6 x 375 ) / 750

= 6 / 375

= 6

Step3:

LCM(3, 360) = 360

GCD(3, 360) = ( 3 x 360 ) / 360

= 3 / 360

= 3

So, Greatest Common Divisor of 120, 126, 375, 360 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 344, 860, 700, 812
• GCD of 868, 988, 862, 656
• GCD of 369, 639, 977, 126
• GCD of 486, 930, 822, 865
• GCD of 881, 278, 778, 372

Given numbers are 120, 126, 375, 360
The greatest common divisor of numbers 120, 126, 375, 360 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 126, 375, 360 is 3.

1. What is the GCD of 120, 126, 375, 360?

GCD of given numbers 120, 126, 375, 360 is 3

2. How to calculate the greatest common divisor of 120, 126, 375, 360?

We can find the highest common divisor of 120, 126, 375, 360 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 120, 126, 375, 360 i.e 3.

3. How can I use the GCD of 120, 126, 375, 360Calculator?

Out the numbers 120, 126, 375, 360 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.