GCD of 345, 825, 276, 753 Calculator

Given Input numbers are 345, 825, 276, 753

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

Divisors of 345 :

The positive integer divisors of 345 that completely divides 345 are.

1, 3, 5, 15, 23, 69, 115, 345

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 276 :

The positive integer divisors of 276 that completely divides 276 are.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276

Divisors of 753 :

The positive integer divisors of 753 that completely divides 753 are.

1, 3, 251, 753

GCD of numbers is the greatest common divisor

So, the GCD (345, 825, 276, 753) = 3.

Given numbers are 345, 825, 276, 753

The list of prime factors of all numbers are

Prime factors of 345 are 3 x 5 x 23

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

Prime factors of 276 are 2 x 2 x 3 x 23

Prime factors of 753 are 3 x 251

The highest common occurrence is 3¹

Therefore, GCD of 345, 825, 276, 753 is 3.

Given numbers are 345, 825, 276, 753

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

Apply this formula for all numbers.

Step1:

LCM(345, 825) = 18975

GCD(345, 825) = ( 345 x 825 ) / 18975

= 345 / 825

= 345

Step2:

LCM(15, 276) = 1380

GCD(15, 276) = ( 15 x 276 ) / 1380

= 15 / 276

= 15

Step3:

LCM(3, 753) = 753

GCD(3, 753) = ( 3 x 753 ) / 753

= 3 / 753

= 3

So, Greatest Common Divisor of 345, 825, 276, 753 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 457, 476, 262, 564
• GCD of 718, 296, 747, 850
• GCD of 292, 464, 689, 198
• GCD of 931, 532, 538, 651
• GCD of 334, 430, 905, 378

Given numbers are 345, 825, 276, 753
The greatest common divisor of numbers 345, 825, 276, 753 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 345, 825, 276, 753 is 3.

1. What is the GCD of 345, 825, 276, 753?

GCD of given numbers 345, 825, 276, 753 is 3

2. How to calculate the greatest common divisor of 345, 825, 276, 753?

We can find the highest common divisor of 345, 825, 276, 753 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 345, 825, 276, 753 i.e 3.

3. How can I use the GCD of 345, 825, 276, 753Calculator?

Out the numbers 345, 825, 276, 753 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.