Online GCD Calculator is useful to find the GCD of 525, 849, 534, 648 quickly. Get the easiest ways to solve the greatest common divisor of 525, 849, 534, 648 i.e 3 in different methods as follows.
Given Input numbers are 525, 849, 534, 648
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 849 :
The positive integer divisors of 849 that completely divides 849 are.
1, 3, 283, 849
Divisors of 534 :
The positive integer divisors of 534 that completely divides 534 are.
1, 2, 3, 6, 89, 178, 267, 534
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
GCD of numbers is the greatest common divisor
So, the GCD (525, 849, 534, 648) = 3.
Given numbers are 525, 849, 534, 648
The list of prime factors of all numbers are
Prime factors of 525 are 3 x 5 x 5 x 7
Prime factors of 849 are 3 x 283
Prime factors of 534 are 2 x 3 x 89
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
The highest common occurrence is 31
Therefore, GCD of 525, 849, 534, 648 is 3.
Given numbers are 525, 849, 534, 648
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(525, 849) = 148575
GCD(525, 849) = ( 525 x 849 ) / 148575
= 525 / 849
= 525
Step2:
LCM(3, 534) = 534
GCD(3, 534) = ( 3 x 534 ) / 534
= 3 / 534
= 3
Step3:
LCM(3, 648) = 648
GCD(3, 648) = ( 3 x 648 ) / 648
= 3 / 648
= 3
So, Greatest Common Divisor of 525, 849, 534, 648 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 525, 849, 534, 648
The greatest common divisor of numbers 525, 849, 534, 648 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 525, 849, 534, 648 is 3.
1. What is the GCD of 525, 849, 534, 648?
GCD of given numbers 525, 849, 534, 648 is 3
2. How to calculate the greatest common divisor of 525, 849, 534, 648?
We can find the highest common divisor of 525, 849, 534, 648 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, 849, 534, 648 i.e 3.
3. How can I use the GCD of 525, 849, 534, 648Calculator?
Out the numbers 525, 849, 534, 648 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.