GCD of 700, 752, 510, 442 Calculator

Given Input numbers are 700, 752, 510, 442

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

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

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

Divisors of 752 :

The positive integer divisors of 752 that completely divides 752 are.

1, 2, 4, 8, 16, 47, 94, 188, 376, 752

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 442 :

The positive integer divisors of 442 that completely divides 442 are.

1, 2, 13, 17, 26, 34, 221, 442

GCD of numbers is the greatest common divisor

So, the GCD (700, 752, 510, 442) = 2.

Given numbers are 700, 752, 510, 442

The list of prime factors of all numbers are

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 752 are 2 x 2 x 2 x 2 x 47

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

Prime factors of 442 are 2 x 13 x 17

The highest common occurrence is 2¹

Therefore, GCD of 700, 752, 510, 442 is 2.

Given numbers are 700, 752, 510, 442

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

Apply this formula for all numbers.

Step1:

LCM(700, 752) = 131600

GCD(700, 752) = ( 700 x 752 ) / 131600

= 700 / 752

= 700

Step2:

LCM(4, 510) = 1020

GCD(4, 510) = ( 4 x 510 ) / 1020

= 4 / 510

= 4

Step3:

LCM(2, 442) = 442

GCD(2, 442) = ( 2 x 442 ) / 442

= 2 / 442

= 2

So, Greatest Common Divisor of 700, 752, 510, 442 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 883, 906, 161, 859
• GCD of 604, 500, 849, 830
• GCD of 545, 465, 525, 892
• GCD of 761, 233, 893, 667
• GCD of 319, 203, 271, 398

Given numbers are 700, 752, 510, 442
The greatest common divisor of numbers 700, 752, 510, 442 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 700, 752, 510, 442 is 2.

1. What is the GCD of 700, 752, 510, 442?

GCD of given numbers 700, 752, 510, 442 is 2

2. How to calculate the greatest common divisor of 700, 752, 510, 442?

We can find the highest common divisor of 700, 752, 510, 442 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 700, 752, 510, 442 i.e 2.

3. How can I use the GCD of 700, 752, 510, 442Calculator?

Out the numbers 700, 752, 510, 442 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.