GCD of 710, 504, 10, 744 Calculator

Given Input numbers are 710, 504, 10, 744

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

Divisors of 710 :

The positive integer divisors of 710 that completely divides 710 are.

1, 2, 5, 10, 71, 142, 355, 710

Divisors of 504 :

The positive integer divisors of 504 that completely divides 504 are.

1, 2, 3, 4, 6, 7, 8, 9, 12, 14, 18, 21, 24, 28, 36, 42, 56, 63, 72, 84, 126, 168, 252, 504

Divisors of 10 :

The positive integer divisors of 10 that completely divides 10 are.

1, 2, 5, 10

Divisors of 744 :

The positive integer divisors of 744 that completely divides 744 are.

1, 2, 3, 4, 6, 8, 12, 24, 31, 62, 93, 124, 186, 248, 372, 744

GCD of numbers is the greatest common divisor

So, the GCD (710, 504, 10, 744) = 2.

Given numbers are 710, 504, 10, 744

The list of prime factors of all numbers are

Prime factors of 710 are 2 x 5 x 71

Prime factors of 504 are 2 x 2 x 2 x 3 x 3 x 7

Prime factors of 10 are 2 x 5

Prime factors of 744 are 2 x 2 x 2 x 3 x 31

The highest common occurrence is 2¹

Therefore, GCD of 710, 504, 10, 744 is 2.

Given numbers are 710, 504, 10, 744

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

Apply this formula for all numbers.

Step1:

LCM(710, 504) = 178920

GCD(710, 504) = ( 710 x 504 ) / 178920

= 710 / 504

= 710

Step2:

LCM(2, 10) = 10

GCD(2, 10) = ( 2 x 10 ) / 10

= 2 / 10

= 2

Step3:

LCM(2, 744) = 744

GCD(2, 744) = ( 2 x 744 ) / 744

= 2 / 744

= 2

So, Greatest Common Divisor of 710, 504, 10, 744 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 537, 810, 40, 428
• GCD of 983, 553, 77, 503
• GCD of 264, 819, 25, 114
• GCD of 591, 663, 75, 522
• GCD of 950, 686, 29, 643

Given numbers are 710, 504, 10, 744
The greatest common divisor of numbers 710, 504, 10, 744 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 710, 504, 10, 744 is 2.

1. What is the GCD of 710, 504, 10, 744?

GCD of given numbers 710, 504, 10, 744 is 2

2. How to calculate the greatest common divisor of 710, 504, 10, 744?

We can find the highest common divisor of 710, 504, 10, 744 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 710, 504, 10, 744 i.e 2.

3. How can I use the GCD of 710, 504, 10, 744Calculator?

Out the numbers 710, 504, 10, 744 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.