GCD of 735, 516, 870, 474 Calculator

Given Input numbers are 735, 516, 870, 474

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

Divisors of 735 :

The positive integer divisors of 735 that completely divides 735 are.

1, 3, 5, 7, 15, 21, 35, 49, 105, 147, 245, 735

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 870 :

The positive integer divisors of 870 that completely divides 870 are.

1, 2, 3, 5, 6, 10, 15, 29, 30, 58, 87, 145, 174, 290, 435, 870

Divisors of 474 :

The positive integer divisors of 474 that completely divides 474 are.

1, 2, 3, 6, 79, 158, 237, 474

GCD of numbers is the greatest common divisor

So, the GCD (735, 516, 870, 474) = 3.

Given numbers are 735, 516, 870, 474

The list of prime factors of all numbers are

Prime factors of 735 are 3 x 5 x 7 x 7

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

Prime factors of 870 are 2 x 3 x 5 x 29

Prime factors of 474 are 2 x 3 x 79

The highest common occurrence is 3¹

Therefore, GCD of 735, 516, 870, 474 is 3.

Given numbers are 735, 516, 870, 474

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

Apply this formula for all numbers.

Step1:

LCM(735, 516) = 126420

GCD(735, 516) = ( 735 x 516 ) / 126420

= 735 / 516

= 735

Step2:

LCM(3, 870) = 870

GCD(3, 870) = ( 3 x 870 ) / 870

= 3 / 870

= 3

Step3:

LCM(3, 474) = 474

GCD(3, 474) = ( 3 x 474 ) / 474

= 3 / 474

= 3

So, Greatest Common Divisor of 735, 516, 870, 474 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 849, 699, 419, 324
• GCD of 112, 666, 522, 190
• GCD of 497, 647, 864, 130
• GCD of 637, 345, 779, 576
• GCD of 383, 987, 621, 307

Given numbers are 735, 516, 870, 474
The greatest common divisor of numbers 735, 516, 870, 474 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 735, 516, 870, 474 is 3.

1. What is the GCD of 735, 516, 870, 474?

GCD of given numbers 735, 516, 870, 474 is 3

2. How to calculate the greatest common divisor of 735, 516, 870, 474?

We can find the highest common divisor of 735, 516, 870, 474 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 735, 516, 870, 474 i.e 3.

3. How can I use the GCD of 735, 516, 870, 474Calculator?

Out the numbers 735, 516, 870, 474 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.