GCD of 510, 754, 126, 720 Calculator

Given Input numbers are 510, 754, 126, 720

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

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 754 :

The positive integer divisors of 754 that completely divides 754 are.

1, 2, 13, 26, 29, 58, 377, 754

Divisors of 126 :

The positive integer divisors of 126 that completely divides 126 are.

1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126

Divisors of 720 :

The positive integer divisors of 720 that completely divides 720 are.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 16, 18, 20, 24, 30, 36, 40, 45, 48, 60, 72, 80, 90, 120, 144, 180, 240, 360, 720

GCD of numbers is the greatest common divisor

So, the GCD (510, 754, 126, 720) = 2.

Given numbers are 510, 754, 126, 720

The list of prime factors of all numbers are

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

Prime factors of 754 are 2 x 13 x 29

Prime factors of 126 are 2 x 3 x 3 x 7

Prime factors of 720 are 2 x 2 x 2 x 2 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 510, 754, 126, 720 is 2.

Given numbers are 510, 754, 126, 720

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

Apply this formula for all numbers.

Step1:

LCM(510, 754) = 192270

GCD(510, 754) = ( 510 x 754 ) / 192270

= 510 / 754

= 510

Step2:

LCM(2, 126) = 126

GCD(2, 126) = ( 2 x 126 ) / 126

= 2 / 126

= 2

Step3:

LCM(2, 720) = 720

GCD(2, 720) = ( 2 x 720 ) / 720

= 2 / 720

= 2

So, Greatest Common Divisor of 510, 754, 126, 720 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 476, 561, 889
• GCD of 468, 351, 147, 963
• GCD of 293, 529, 804, 474
• GCD of 918, 916, 191, 309
• GCD of 558, 684, 953, 826

Given numbers are 510, 754, 126, 720
The greatest common divisor of numbers 510, 754, 126, 720 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 510, 754, 126, 720 is 2.

1. What is the GCD of 510, 754, 126, 720?

GCD of given numbers 510, 754, 126, 720 is 2

2. How to calculate the greatest common divisor of 510, 754, 126, 720?

We can find the highest common divisor of 510, 754, 126, 720 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 510, 754, 126, 720 i.e 2.

3. How can I use the GCD of 510, 754, 126, 720Calculator?

Out the numbers 510, 754, 126, 720 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.