GCD of 455, 371, 84 Calculator

Given Input numbers are 455, 371, 84

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

Divisors of 455 :

The positive integer divisors of 455 that completely divides 455 are.

1, 5, 7, 13, 35, 65, 91, 455

Divisors of 371 :

The positive integer divisors of 371 that completely divides 371 are.

1, 7, 53, 371

Divisors of 84 :

The positive integer divisors of 84 that completely divides 84 are.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84

GCD of numbers is the greatest common divisor

So, the GCD (455, 371, 84) = 7.

Given numbers are 455, 371, 84

The list of prime factors of all numbers are

Prime factors of 455 are 5 x 7 x 13

Prime factors of 371 are 7 x 53

Prime factors of 84 are 2 x 2 x 3 x 7

The highest common occurrence is 7¹

Therefore, GCD of 455, 371, 84 is 7.

Given numbers are 455, 371, 84

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

Apply this formula for all numbers.

Step1:

LCM(455, 371) = 24115

GCD(455, 371) = ( 455 x 371 ) / 24115

= 455 / 371

= 455

Step2:

LCM(7, 84) = 84

GCD(7, 84) = ( 7 x 84 ) / 84

= 7 / 84

= 7

So, Greatest Common Divisor of 455, 371, 84 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 978, 822, 13
• GCD of 573, 990, 20
• GCD of 756, 798, 79
• GCD of 544, 119, 81
• GCD of 703, 420, 37

Given numbers are 455, 371, 84
The greatest common divisor of numbers 455, 371, 84 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 455, 371, 84 is 7.

1. What is the GCD of 455, 371, 84?

GCD of given numbers 455, 371, 84 is 7

2. How to calculate the greatest common divisor of 455, 371, 84?

We can find the highest common divisor of 455, 371, 84 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 455, 371, 84 i.e 7.

3. How can I use the GCD of 455, 371, 84Calculator?

Out the numbers 455, 371, 84 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.