GCD of 354, 525, 60 Calculator

Given Input numbers are 354, 525, 60

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

Divisors of 354 :

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

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

Divisors of 525 :

The positive integer divisors of 525 that completely divides 525 are.

1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525

Divisors of 60 :

The positive integer divisors of 60 that completely divides 60 are.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60

GCD of numbers is the greatest common divisor

So, the GCD (354, 525, 60) = 3.

Given numbers are 354, 525, 60

The list of prime factors of all numbers are

Prime factors of 354 are 2 x 3 x 59

Prime factors of 525 are 3 x 5 x 5 x 7

Prime factors of 60 are 2 x 2 x 3 x 5

The highest common occurrence is 3¹

Therefore, GCD of 354, 525, 60 is 3.

Given numbers are 354, 525, 60

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

Apply this formula for all numbers.

Step1:

LCM(354, 525) = 61950

GCD(354, 525) = ( 354 x 525 ) / 61950

= 354 / 525

= 354

Step2:

LCM(3, 60) = 60

GCD(3, 60) = ( 3 x 60 ) / 60

= 3 / 60

= 3

So, Greatest Common Divisor of 354, 525, 60 is 3

Here are some samples of GCD of Numbers calculations.

• GCD of 124, 129, 99
• GCD of 750, 861, 67
• GCD of 361, 419, 61
• GCD of 633, 731, 44
• GCD of 104, 921, 22

Given numbers are 354, 525, 60
The greatest common divisor of numbers 354, 525, 60 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 354, 525, 60 is 3.

1. What is the GCD of 354, 525, 60?

GCD of given numbers 354, 525, 60 is 3

2. How to calculate the greatest common divisor of 354, 525, 60?

We can find the highest common divisor of 354, 525, 60 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 354, 525, 60 i.e 3.

3. How can I use the GCD of 354, 525, 60Calculator?

Out the numbers 354, 525, 60 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.