GCD of 525, 345, 264, 147 Calculator

Given Input numbers are 525, 345, 264, 147

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

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 345 :

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

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

Divisors of 264 :

The positive integer divisors of 264 that completely divides 264 are.

1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

GCD of numbers is the greatest common divisor

So, the GCD (525, 345, 264, 147) = 3.

Given numbers are 525, 345, 264, 147

The list of prime factors of all numbers are

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

Prime factors of 345 are 3 x 5 x 23

Prime factors of 264 are 2 x 2 x 2 x 3 x 11

Prime factors of 147 are 3 x 7 x 7

The highest common occurrence is 3¹

Therefore, GCD of 525, 345, 264, 147 is 3.

Given numbers are 525, 345, 264, 147

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

Apply this formula for all numbers.

Step1:

LCM(525, 345) = 12075

GCD(525, 345) = ( 525 x 345 ) / 12075

= 525 / 345

= 525

Step2:

LCM(15, 264) = 1320

GCD(15, 264) = ( 15 x 264 ) / 1320

= 15 / 264

= 15

Step3:

LCM(3, 147) = 147

GCD(3, 147) = ( 3 x 147 ) / 147

= 3 / 147

= 3

So, Greatest Common Divisor of 525, 345, 264, 147 is 3

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• GCD of 849, 758, 429, 374
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Given numbers are 525, 345, 264, 147
The greatest common divisor of numbers 525, 345, 264, 147 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 345, 264, 147 is 3.

1. What is the GCD of 525, 345, 264, 147?

GCD of given numbers 525, 345, 264, 147 is 3

2. How to calculate the greatest common divisor of 525, 345, 264, 147?

We can find the highest common divisor of 525, 345, 264, 147 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 525, 345, 264, 147 i.e 3.

3. How can I use the GCD of 525, 345, 264, 147Calculator?

Out the numbers 525, 345, 264, 147 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.