GCD of 472, 104, 420, 298 Calculator

Given Input numbers are 472, 104, 420, 298

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

Divisors of 472 :

The positive integer divisors of 472 that completely divides 472 are.

1, 2, 4, 8, 59, 118, 236, 472

Divisors of 104 :

The positive integer divisors of 104 that completely divides 104 are.

1, 2, 4, 8, 13, 26, 52, 104

Divisors of 420 :

The positive integer divisors of 420 that completely divides 420 are.

1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420

Divisors of 298 :

The positive integer divisors of 298 that completely divides 298 are.

1, 2, 149, 298

GCD of numbers is the greatest common divisor

So, the GCD (472, 104, 420, 298) = 2.

Given numbers are 472, 104, 420, 298

The list of prime factors of all numbers are

Prime factors of 472 are 2 x 2 x 2 x 59

Prime factors of 104 are 2 x 2 x 2 x 13

Prime factors of 420 are 2 x 2 x 3 x 5 x 7

Prime factors of 298 are 2 x 149

The highest common occurrence is 2¹

Therefore, GCD of 472, 104, 420, 298 is 2.

Given numbers are 472, 104, 420, 298

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

Apply this formula for all numbers.

Step1:

LCM(472, 104) = 6136

GCD(472, 104) = ( 472 x 104 ) / 6136

= 472 / 104

= 472

Step2:

LCM(8, 420) = 840

GCD(8, 420) = ( 8 x 420 ) / 840

= 8 / 420

= 8

Step3:

LCM(4, 298) = 596

GCD(4, 298) = ( 4 x 298 ) / 596

= 4 / 298

= 4

So, Greatest Common Divisor of 472, 104, 420, 298 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 142, 299, 504, 739
• GCD of 978, 120, 174, 963
• GCD of 945, 290, 158, 116
• GCD of 933, 711, 984, 939
• GCD of 689, 341, 981, 825

Given numbers are 472, 104, 420, 298
The greatest common divisor of numbers 472, 104, 420, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 472, 104, 420, 298 is 2.

1. What is the GCD of 472, 104, 420, 298?

GCD of given numbers 472, 104, 420, 298 is 2

2. How to calculate the greatest common divisor of 472, 104, 420, 298?

We can find the highest common divisor of 472, 104, 420, 298 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 472, 104, 420, 298 i.e 2.

3. How can I use the GCD of 472, 104, 420, 298Calculator?

Out the numbers 472, 104, 420, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.