GCD of 825, 453, 708, 348 Calculator

Given Input numbers are 825, 453, 708, 348

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

Divisors of 825 :

The positive integer divisors of 825 that completely divides 825 are.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 453 :

The positive integer divisors of 453 that completely divides 453 are.

1, 3, 151, 453

Divisors of 708 :

The positive integer divisors of 708 that completely divides 708 are.

1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708

Divisors of 348 :

The positive integer divisors of 348 that completely divides 348 are.

1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348

GCD of numbers is the greatest common divisor

So, the GCD (825, 453, 708, 348) = 3.

Given numbers are 825, 453, 708, 348

The list of prime factors of all numbers are

Prime factors of 825 are 3 x 5 x 5 x 11

Prime factors of 453 are 3 x 151

Prime factors of 708 are 2 x 2 x 3 x 59

Prime factors of 348 are 2 x 2 x 3 x 29

The highest common occurrence is 3¹

Therefore, GCD of 825, 453, 708, 348 is 3.

Given numbers are 825, 453, 708, 348

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

Apply this formula for all numbers.

Step1:

LCM(825, 453) = 124575

GCD(825, 453) = ( 825 x 453 ) / 124575

= 825 / 453

= 825

Step2:

LCM(3, 708) = 708

GCD(3, 708) = ( 3 x 708 ) / 708

= 3 / 708

= 3

Step3:

LCM(3, 348) = 348

GCD(3, 348) = ( 3 x 348 ) / 348

= 3 / 348

= 3

So, Greatest Common Divisor of 825, 453, 708, 348 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 826, 292, 513, 871
• GCD of 950, 222, 701, 338
• GCD of 134, 704, 616, 494
• GCD of 533, 622, 957, 378
• GCD of 695, 756, 187, 584

Given numbers are 825, 453, 708, 348
The greatest common divisor of numbers 825, 453, 708, 348 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 825, 453, 708, 348 is 3.

1. What is the GCD of 825, 453, 708, 348?

GCD of given numbers 825, 453, 708, 348 is 3

2. How to calculate the greatest common divisor of 825, 453, 708, 348?

We can find the highest common divisor of 825, 453, 708, 348 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 825, 453, 708, 348 i.e 3.

3. How can I use the GCD of 825, 453, 708, 348Calculator?

Out the numbers 825, 453, 708, 348 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.