GCD of 510, 700, 90, 910 Calculator

Given Input numbers are 510, 700, 90, 910

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

Divisors of 510

List of positive integer divisors of 510 that divides 510 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 170, 255, 510

Divisors of 700

List of positive integer divisors of 700 that divides 700 without a remainder.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 90

List of positive integer divisors of 90 that divides 90 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 30, 45, 90

Divisors of 910

List of positive integer divisors of 910 that divides 910 without a remainder.

1, 2, 5, 7, 10, 13, 14, 26, 35, 65, 70, 91, 130, 182, 455, 910

Greatest Common Divisior

We found the divisors of 510, 700, 90, 910 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 510, 700, 90, 910 is 10.

Therefore, GCD of numbers 510, 700, 90, 910 is 10

Given Input Data is 510, 700, 90, 910

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

Prime Factorization of 510 is 2 x 3 x 5 x 17

Prime Factorization of 700 is 2 x 2 x 5 x 5 x 7

Prime Factorization of 90 is 2 x 3 x 3 x 5

Prime Factorization of 910 is 2 x 5 x 7 x 13

Highest common occurrences in the given inputs are 2¹ x 5¹

Multiplying them we get the GCD as 10

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(510, 700) = 35700

GCD(510, 700) = ( 510 x 700 ) / 35700

GCD(510, 700) = 357000 / 35700

GCD(510, 700) = 10

Step2:

Here we consider the GCD from the above i.e. 10 as first number and the next as 90

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

LCM(10, 90) = 90

GCD(10, 90) = ( 10 x 90 ) / 90

GCD(10, 90) = 900 / 90

GCD(10, 90) = 10

Step3:

Here we consider the GCD from the above i.e. 10 as first number and the next as 910

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

LCM(10, 910) = 910

GCD(10, 910) = ( 10 x 910 ) / 910

GCD(10, 910) = 9100 / 910

GCD(10, 910) = 10

GCD of 510, 700, 90, 910 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 441, 28, 985
• GCD of 888, 770, 31, 475
• GCD of 826, 131, 30, 244
• GCD of 786, 158, 33, 141
• GCD of 721, 746, 84, 888

1. What is the GCD of 510, 700, 90, 910?

GCD of 510, 700, 90, 910 is 10

2. Where do I get the detailed procedure to find GCD of 510, 700, 90, 910?

You can find a detailed procedure to find GCD of 510, 700, 90, 910 on our page.

3. How to find GCD of 510, 700, 90, 910 on a calculator?

You can find the GCD of 510, 700, 90, 910 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.