GCD of 704, 868, 140, 516 Calculator

Given Input numbers are 704, 868, 140, 516

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

Divisors of 704 :

The positive integer divisors of 704 that completely divides 704 are.

1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704

Divisors of 868 :

The positive integer divisors of 868 that completely divides 868 are.

1, 2, 4, 7, 14, 28, 31, 62, 124, 217, 434, 868

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

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 (704, 868, 140, 516) = 4.

Given numbers are 704, 868, 140, 516

The list of prime factors of all numbers are

Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11

Prime factors of 868 are 2 x 2 x 7 x 31

Prime factors of 140 are 2 x 2 x 5 x 7

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

The highest common occurrence is 2²

Therefore, GCD of 704, 868, 140, 516 is 4.

Given numbers are 704, 868, 140, 516

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

Apply this formula for all numbers.

Step1:

LCM(704, 868) = 152768

GCD(704, 868) = ( 704 x 868 ) / 152768

= 704 / 868

= 704

Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

Step3:

LCM(4, 516) = 516

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

= 4 / 516

= 4

So, Greatest Common Divisor of 704, 868, 140, 516 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 749, 754, 601, 139
• GCD of 914, 496, 355, 399
• GCD of 465, 100, 496, 990
• GCD of 695, 843, 303, 728
• GCD of 505, 289, 902, 204

Given numbers are 704, 868, 140, 516
The greatest common divisor of numbers 704, 868, 140, 516 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 704, 868, 140, 516 is 4.

1. What is the GCD of 704, 868, 140, 516?

GCD of given numbers 704, 868, 140, 516 is 4

2. How to calculate the greatest common divisor of 704, 868, 140, 516?

We can find the highest common divisor of 704, 868, 140, 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 704, 868, 140, 516 i.e 4.

3. How can I use the GCD of 704, 868, 140, 516Calculator?

Out the numbers 704, 868, 140, 516 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.