GCD of 441, 354, 756, 513 Calculator

Given Input numbers are 441, 354, 756, 513

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

Divisors of 441 :

The positive integer divisors of 441 that completely divides 441 are.

1, 3, 7, 9, 21, 49, 63, 147, 441

Divisors of 354 :

The positive integer divisors of 354 that completely divides 354 are.

1, 2, 3, 6, 59, 118, 177, 354

Divisors of 756 :

The positive integer divisors of 756 that completely divides 756 are.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756

Divisors of 513 :

The positive integer divisors of 513 that completely divides 513 are.

1, 3, 9, 19, 27, 57, 171, 513

GCD of numbers is the greatest common divisor

So, the GCD (441, 354, 756, 513) = 3.

Given numbers are 441, 354, 756, 513

The list of prime factors of all numbers are

Prime factors of 441 are 3 x 3 x 7 x 7

Prime factors of 354 are 2 x 3 x 59

Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7

Prime factors of 513 are 3 x 3 x 3 x 19

The highest common occurrence is 3¹

Therefore, GCD of 441, 354, 756, 513 is 3.

Given numbers are 441, 354, 756, 513

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

Apply this formula for all numbers.

Step1:

LCM(441, 354) = 52038

GCD(441, 354) = ( 441 x 354 ) / 52038

= 441 / 354

= 441

Step2:

LCM(3, 756) = 756

GCD(3, 756) = ( 3 x 756 ) / 756

= 3 / 756

= 3

Step3:

LCM(3, 513) = 513

GCD(3, 513) = ( 3 x 513 ) / 513

= 3 / 513

= 3

So, Greatest Common Divisor of 441, 354, 756, 513 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 132, 909, 566, 767
• GCD of 151, 239, 255, 856
• GCD of 997, 516, 872, 208
• GCD of 825, 942, 878, 897
• GCD of 113, 382, 828, 562

Given numbers are 441, 354, 756, 513
The greatest common divisor of numbers 441, 354, 756, 513 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 354, 756, 513 is 3.

1. What is the GCD of 441, 354, 756, 513?

GCD of given numbers 441, 354, 756, 513 is 3

2. How to calculate the greatest common divisor of 441, 354, 756, 513?

We can find the highest common divisor of 441, 354, 756, 513 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 441, 354, 756, 513 i.e 3.

3. How can I use the GCD of 441, 354, 756, 513Calculator?

Out the numbers 441, 354, 756, 513 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.