GCD of 120, 470, 302, 940 Calculator

Given Input numbers are 120, 470, 302, 940

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 470 :

The positive integer divisors of 470 that completely divides 470 are.

1, 2, 5, 10, 47, 94, 235, 470

Divisors of 302 :

The positive integer divisors of 302 that completely divides 302 are.

1, 2, 151, 302

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

GCD of numbers is the greatest common divisor

So, the GCD (120, 470, 302, 940) = 2.

Given numbers are 120, 470, 302, 940

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 470 are 2 x 5 x 47

Prime factors of 302 are 2 x 151

Prime factors of 940 are 2 x 2 x 5 x 47

The highest common occurrence is 2¹

Therefore, GCD of 120, 470, 302, 940 is 2.

Given numbers are 120, 470, 302, 940

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

Apply this formula for all numbers.

Step1:

LCM(120, 470) = 5640

GCD(120, 470) = ( 120 x 470 ) / 5640

= 120 / 470

= 120

Step2:

LCM(10, 302) = 1510

GCD(10, 302) = ( 10 x 302 ) / 1510

= 10 / 302

= 10

Step3:

LCM(2, 940) = 940

GCD(2, 940) = ( 2 x 940 ) / 940

= 2 / 940

= 2

So, Greatest Common Divisor of 120, 470, 302, 940 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 714, 288, 252, 559
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• GCD of 406, 179, 892, 787
• GCD of 647, 894, 554, 101
• GCD of 686, 592, 336, 463

Given numbers are 120, 470, 302, 940
The greatest common divisor of numbers 120, 470, 302, 940 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 120, 470, 302, 940 is 2.

1. What is the GCD of 120, 470, 302, 940?

GCD of given numbers 120, 470, 302, 940 is 2

2. How to calculate the greatest common divisor of 120, 470, 302, 940?

We can find the highest common divisor of 120, 470, 302, 940 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, 470, 302, 940 i.e 2.

3. How can I use the GCD of 120, 470, 302, 940Calculator?

Out the numbers 120, 470, 302, 940 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.