Online GCD Calculator is useful to find the GCD of 147, 990, 708, 525 quickly. Get the easiest ways to solve the greatest common divisor of 147, 990, 708, 525 i.e 3 in different methods as follows.
Given Input numbers are 147, 990, 708, 525
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 990 :
The positive integer divisors of 990 that completely divides 990 are.
1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 45, 55, 66, 90, 99, 110, 165, 198, 330, 495, 990
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 (147, 990, 708, 525) = 3.
Given numbers are 147, 990, 708, 525
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 990 are 2 x 3 x 3 x 5 x 11
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 147, 990, 708, 525 is 3.
Given numbers are 147, 990, 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(147, 990) = 48510
GCD(147, 990) = ( 147 x 990 ) / 48510
= 147 / 990
= 147
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 147, 990, 708, 525 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 990, 708, 525
The greatest common divisor of numbers 147, 990, 708, 525 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 990, 708, 525 is 3.
1. What is the GCD of 147, 990, 708, 525?
GCD of given numbers 147, 990, 708, 525 is 3
2. How to calculate the greatest common divisor of 147, 990, 708, 525?
We can find the highest common divisor of 147, 990, 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 147, 990, 708, 525 i.e 3.
3. How can I use the GCD of 147, 990, 708, 525Calculator?
Out the numbers 147, 990, 708, 525 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.