GCD of 58, 70, 84, 40 Calculator

Given Input numbers are 58, 70, 84, 40

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

Divisors of 58 :

The positive integer divisors of 58 that completely divides 58 are.

1, 2, 29, 58

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

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

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

GCD of numbers is the greatest common divisor

So, the GCD (58, 70, 84, 40) = 2.

Given numbers are 58, 70, 84, 40

The list of prime factors of all numbers are

Prime factors of 58 are 2 x 29

Prime factors of 70 are 2 x 5 x 7

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

Prime factors of 40 are 2 x 2 x 2 x 5

The highest common occurrence is 2¹

Therefore, GCD of 58, 70, 84, 40 is 2.

Given numbers are 58, 70, 84, 40

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

Apply this formula for all numbers.

Step1:

LCM(58, 70) = 2030

GCD(58, 70) = ( 58 x 70 ) / 2030

= 58 / 70

= 58

Step2:

LCM(2, 84) = 84

GCD(2, 84) = ( 2 x 84 ) / 84

= 2 / 84

= 2

Step3:

LCM(2, 40) = 40

GCD(2, 40) = ( 2 x 40 ) / 40

= 2 / 40

= 2

So, Greatest Common Divisor of 58, 70, 84, 40 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 23, 84, 21, 69
• GCD of 83, 58, 75, 62
• GCD of 59, 97, 18, 17
• GCD of 91, 71, 69, 39
• GCD of 77, 72, 83, 71

Given numbers are 58, 70, 84, 40
The greatest common divisor of numbers 58, 70, 84, 40 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 58, 70, 84, 40 is 2.

1. What is the GCD of 58, 70, 84, 40?

GCD of given numbers 58, 70, 84, 40 is 2

2. How to calculate the greatest common divisor of 58, 70, 84, 40?

We can find the highest common divisor of 58, 70, 84, 40 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 58, 70, 84, 40 i.e 2.

3. How can I use the GCD of 58, 70, 84, 40Calculator?

Out the numbers 58, 70, 84, 40 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.