Online GCD Calculator is useful to find the GCD of 357, 531, 747, 708 quickly. Get the easiest ways to solve the greatest common divisor of 357, 531, 747, 708 i.e 3 in different methods as follows.
Given Input numbers are 357, 531, 747, 708
In the factoring method, we have to find the divisors of all numbers
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
Divisors of 531 :
The positive integer divisors of 531 that completely divides 531 are.
1, 3, 9, 59, 177, 531
Divisors of 747 :
The positive integer divisors of 747 that completely divides 747 are.
1, 3, 9, 83, 249, 747
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
GCD of numbers is the greatest common divisor
So, the GCD (357, 531, 747, 708) = 3.
Given numbers are 357, 531, 747, 708
The list of prime factors of all numbers are
Prime factors of 357 are 3 x 7 x 17
Prime factors of 531 are 3 x 3 x 59
Prime factors of 747 are 3 x 3 x 83
Prime factors of 708 are 2 x 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 357, 531, 747, 708 is 3.
Given numbers are 357, 531, 747, 708
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(357, 531) = 63189
GCD(357, 531) = ( 357 x 531 ) / 63189
= 357 / 531
= 357
Step2:
LCM(3, 747) = 747
GCD(3, 747) = ( 3 x 747 ) / 747
= 3 / 747
= 3
Step3:
LCM(3, 708) = 708
GCD(3, 708) = ( 3 x 708 ) / 708
= 3 / 708
= 3
So, Greatest Common Divisor of 357, 531, 747, 708 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 357, 531, 747, 708
The greatest common divisor of numbers 357, 531, 747, 708 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 357, 531, 747, 708 is 3.
1. What is the GCD of 357, 531, 747, 708?
GCD of given numbers 357, 531, 747, 708 is 3
2. How to calculate the greatest common divisor of 357, 531, 747, 708?
We can find the highest common divisor of 357, 531, 747, 708 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 357, 531, 747, 708 i.e 3.
3. How can I use the GCD of 357, 531, 747, 708Calculator?
Out the numbers 357, 531, 747, 708 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.