GCD of 516, 118, 346, 700 Calculator

Given Input numbers are 516, 118, 346, 700

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

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

Divisors of 118 :

The positive integer divisors of 118 that completely divides 118 are.

1, 2, 59, 118

Divisors of 346 :

The positive integer divisors of 346 that completely divides 346 are.

1, 2, 173, 346

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

GCD of numbers is the greatest common divisor

So, the GCD (516, 118, 346, 700) = 2.

Given numbers are 516, 118, 346, 700

The list of prime factors of all numbers are

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

Prime factors of 118 are 2 x 59

Prime factors of 346 are 2 x 173

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

The highest common occurrence is 2¹

Therefore, GCD of 516, 118, 346, 700 is 2.

Given numbers are 516, 118, 346, 700

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

Apply this formula for all numbers.

Step1:

LCM(516, 118) = 30444

GCD(516, 118) = ( 516 x 118 ) / 30444

= 516 / 118

= 516

Step2:

LCM(2, 346) = 346

GCD(2, 346) = ( 2 x 346 ) / 346

= 2 / 346

= 2

Step3:

LCM(2, 700) = 700

GCD(2, 700) = ( 2 x 700 ) / 700

= 2 / 700

= 2

So, Greatest Common Divisor of 516, 118, 346, 700 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 986, 484, 979, 806
• GCD of 939, 667, 142, 176
• GCD of 692, 132, 767, 138
• GCD of 693, 198, 506, 508
• GCD of 780, 184, 542, 956

Given numbers are 516, 118, 346, 700
The greatest common divisor of numbers 516, 118, 346, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 516, 118, 346, 700 is 2.

1. What is the GCD of 516, 118, 346, 700?

GCD of given numbers 516, 118, 346, 700 is 2

2. How to calculate the greatest common divisor of 516, 118, 346, 700?

We can find the highest common divisor of 516, 118, 346, 700 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 516, 118, 346, 700 i.e 2.

3. How can I use the GCD of 516, 118, 346, 700Calculator?

Out the numbers 516, 118, 346, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.