GCD of 70, 165, 870, 790 Calculator

Given Input numbers are 70, 165, 870, 790

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 70

List of positive integer divisors of 70 that divides 70 without a remainder.

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

Divisors of 165

List of positive integer divisors of 165 that divides 165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165

Divisors of 870

List of positive integer divisors of 870 that divides 870 without a remainder.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 790

List of positive integer divisors of 790 that divides 790 without a remainder.

1, 2, 5, 10, 79, 158, 395, 790

Greatest Common Divisior

We found the divisors of 70, 165, 870, 790 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 70, 165, 870, 790 is 5.

Therefore, GCD of numbers 70, 165, 870, 790 is 5

Given Input Data is 70, 165, 870, 790

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 70 is 2 x 5 x 7

Prime Factorization of 165 is 3 x 5 x 11

Prime Factorization of 870 is 2 x 3 x 5 x 29

Prime Factorization of 790 is 2 x 5 x 79

Highest common occurrences in the given inputs are 5¹

Multiplying them we get the GCD as 5

Step1:

Let's calculate the GCD of first two numbers

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

LCM(70, 165) = 2310

GCD(70, 165) = ( 70 x 165 ) / 2310

GCD(70, 165) = 11550 / 2310

GCD(70, 165) = 5

Step2:

Here we consider the GCD from the above i.e. 5 as first number and the next as 870

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

LCM(5, 870) = 870

GCD(5, 870) = ( 5 x 870 ) / 870

GCD(5, 870) = 4350 / 870

GCD(5, 870) = 5

Step3:

Here we consider the GCD from the above i.e. 5 as first number and the next as 790

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

LCM(5, 790) = 790

GCD(5, 790) = ( 5 x 790 ) / 790

GCD(5, 790) = 3950 / 790

GCD(5, 790) = 5

GCD of 70, 165, 870, 790 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 54, 247, 846, 583
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• GCD of 70, 243, 981, 226
• GCD of 61, 955, 590, 557
• GCD of 41, 643, 169, 906

1. What is the GCD of 70, 165, 870, 790?

GCD of 70, 165, 870, 790 is 5

2. Where do I get the detailed procedure to find GCD of 70, 165, 870, 790?

You can find a detailed procedure to find GCD of 70, 165, 870, 790 on our page.

3. How to find GCD of 70, 165, 870, 790 on a calculator?

You can find the GCD of 70, 165, 870, 790 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.