Online GCD Calculator is useful to find the GCD of 657, 669, 708, 525 quickly. Get the easiest ways to solve the greatest common divisor of 657, 669, 708, 525 i.e 3 in different methods as follows.
Given Input numbers are 657, 669, 708, 525
In the factoring method, we have to find the divisors of all numbers
Divisors of 657 :
The positive integer divisors of 657 that completely divides 657 are.
1, 3, 9, 73, 219, 657
Divisors of 669 :
The positive integer divisors of 669 that completely divides 669 are.
1, 3, 223, 669
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 525 :
The positive integer divisors of 525 that completely divides 525 are.
1, 3, 5, 7, 15, 21, 25, 35, 75, 105, 175, 525
GCD of numbers is the greatest common divisor
So, the GCD (657, 669, 708, 525) = 3.
Given numbers are 657, 669, 708, 525
The list of prime factors of all numbers are
Prime factors of 657 are 3 x 3 x 73
Prime factors of 669 are 3 x 223
Prime factors of 708 are 2 x 2 x 3 x 59
Prime factors of 525 are 3 x 5 x 5 x 7
The highest common occurrence is 31
Therefore, GCD of 657, 669, 708, 525 is 3.
Given numbers are 657, 669, 708, 525
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(657, 669) = 146511
GCD(657, 669) = ( 657 x 669 ) / 146511
= 657 / 669
= 657
Step2:
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
= 3 / 708
= 3
Step3:
LCM(3, 525) = 525
GCD(3, 525) = ( 3 x 525 ) / 525
= 3 / 525
= 3
So, Greatest Common Divisor of 657, 669, 708, 525 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 657, 669, 708, 525
The greatest common divisor of numbers 657, 669, 708, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 657, 669, 708, 525 is 3.
1. What is the GCD of 657, 669, 708, 525?
GCD of given numbers 657, 669, 708, 525 is 3
2. How to calculate the greatest common divisor of 657, 669, 708, 525?
We can find the highest common divisor of 657, 669, 708, 525 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 657, 669, 708, 525 i.e 3.
3. How can I use the GCD of 657, 669, 708, 525Calculator?
Out the numbers 657, 669, 708, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.