GCD of 748, 700, 812, 516 Calculator

Given Input numbers are 748, 700, 812, 516

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

Divisors of 748 :

The positive integer divisors of 748 that completely divides 748 are.

1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748

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 812 :

The positive integer divisors of 812 that completely divides 812 are.

1, 2, 4, 7, 14, 28, 29, 58, 116, 203, 406, 812

Divisors of 516 :

The positive integer divisors of 516 that completely divides 516 are.

1, 2, 3, 4, 6, 12, 43, 86, 129, 172, 258, 516

GCD of numbers is the greatest common divisor

So, the GCD (748, 700, 812, 516) = 4.

Given numbers are 748, 700, 812, 516

The list of prime factors of all numbers are

Prime factors of 748 are 2 x 2 x 11 x 17

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

Prime factors of 812 are 2 x 2 x 7 x 29

Prime factors of 516 are 2 x 2 x 3 x 43

The highest common occurrence is 2²

Therefore, GCD of 748, 700, 812, 516 is 4.

Given numbers are 748, 700, 812, 516

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

Apply this formula for all numbers.

Step1:

LCM(748, 700) = 130900

GCD(748, 700) = ( 748 x 700 ) / 130900

= 748 / 700

= 748

Step2:

LCM(4, 812) = 812

GCD(4, 812) = ( 4 x 812 ) / 812

= 4 / 812

= 4

Step3:

LCM(4, 516) = 516

GCD(4, 516) = ( 4 x 516 ) / 516

= 4 / 516

= 4

So, Greatest Common Divisor of 748, 700, 812, 516 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 639, 293, 440, 616
• GCD of 823, 155, 291, 433
• GCD of 733, 612, 860, 171
• GCD of 649, 979, 773, 785
• GCD of 701, 857, 390, 718

Given numbers are 748, 700, 812, 516
The greatest common divisor of numbers 748, 700, 812, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 700, 812, 516 is 4.

1. What is the GCD of 748, 700, 812, 516?

GCD of given numbers 748, 700, 812, 516 is 4

2. How to calculate the greatest common divisor of 748, 700, 812, 516?

We can find the highest common divisor of 748, 700, 812, 516 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 748, 700, 812, 516 i.e 4.

3. How can I use the GCD of 748, 700, 812, 516Calculator?

Out the numbers 748, 700, 812, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.