GCD of 118, 470, 454, 642 Calculator

Given Input numbers are 118, 470, 454, 642

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 470 :

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

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

Divisors of 454 :

The positive integer divisors of 454 that completely divides 454 are.

1, 2, 227, 454

Divisors of 642 :

The positive integer divisors of 642 that completely divides 642 are.

1, 2, 3, 6, 107, 214, 321, 642

GCD of numbers is the greatest common divisor

So, the GCD (118, 470, 454, 642) = 2.

Given numbers are 118, 470, 454, 642

The list of prime factors of all numbers are

Prime factors of 118 are 2 x 59

Prime factors of 470 are 2 x 5 x 47

Prime factors of 454 are 2 x 227

Prime factors of 642 are 2 x 3 x 107

The highest common occurrence is 2¹

Therefore, GCD of 118, 470, 454, 642 is 2.

Given numbers are 118, 470, 454, 642

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

Apply this formula for all numbers.

Step1:

LCM(118, 470) = 27730

GCD(118, 470) = ( 118 x 470 ) / 27730

= 118 / 470

= 118

Step2:

LCM(2, 454) = 454

GCD(2, 454) = ( 2 x 454 ) / 454

= 2 / 454

= 2

Step3:

LCM(2, 642) = 642

GCD(2, 642) = ( 2 x 642 ) / 642

= 2 / 642

= 2

So, Greatest Common Divisor of 118, 470, 454, 642 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 144, 840, 163, 365
• GCD of 425, 538, 499, 811
• GCD of 137, 627, 546, 591
• GCD of 333, 288, 973, 773
• GCD of 248, 860, 461, 817

Given numbers are 118, 470, 454, 642
The greatest common divisor of numbers 118, 470, 454, 642 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 118, 470, 454, 642 is 2.

1. What is the GCD of 118, 470, 454, 642?

GCD of given numbers 118, 470, 454, 642 is 2

2. How to calculate the greatest common divisor of 118, 470, 454, 642?

We can find the highest common divisor of 118, 470, 454, 642 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 118, 470, 454, 642 i.e 2.

3. How can I use the GCD of 118, 470, 454, 642Calculator?

Out the numbers 118, 470, 454, 642 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.