GCD of 900, 510, 910, 770 Calculator

Given Input numbers are 900, 510, 910, 770

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

Divisors of 900 :

The positive integer divisors of 900 that completely divides 900 are.

1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900

Divisors of 510 :

The positive integer divisors of 510 that completely divides 510 are.

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

Divisors of 910 :

The positive integer divisors of 910 that completely divides 910 are.

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

Divisors of 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD of numbers is the greatest common divisor

So, the GCD (900, 510, 910, 770) = 10.

Given numbers are 900, 510, 910, 770

The list of prime factors of all numbers are

Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5

Prime factors of 510 are 2 x 3 x 5 x 17

Prime factors of 910 are 2 x 5 x 7 x 13

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 900, 510, 910, 770 is 10.

Given numbers are 900, 510, 910, 770

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

Apply this formula for all numbers.

Step1:

LCM(900, 510) = 15300

GCD(900, 510) = ( 900 x 510 ) / 15300

= 900 / 510

= 900

Step2:

LCM(30, 910) = 2730

GCD(30, 910) = ( 30 x 910 ) / 2730

= 30 / 910

= 30

Step3:

LCM(10, 770) = 770

GCD(10, 770) = ( 10 x 770 ) / 770

= 10 / 770

= 10

So, Greatest Common Divisor of 900, 510, 910, 770 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 247, 943, 709, 437
• GCD of 418, 952, 984, 396
• GCD of 701, 308, 420, 428
• GCD of 707, 373, 650, 452
• GCD of 243, 141, 827, 194

Given numbers are 900, 510, 910, 770
The greatest common divisor of numbers 900, 510, 910, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 900, 510, 910, 770 is 10.

1. What is the GCD of 900, 510, 910, 770?

GCD of given numbers 900, 510, 910, 770 is 10

2. How to calculate the greatest common divisor of 900, 510, 910, 770?

We can find the highest common divisor of 900, 510, 910, 770 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 900, 510, 910, 770 i.e 10.

3. How can I use the GCD of 900, 510, 910, 770Calculator?

Out the numbers 900, 510, 910, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.