Online GCD Calculator is useful to find the GCD of 488, 715, 147, 690 quickly. Get the easiest ways to solve the greatest common divisor of 488, 715, 147, 690 i.e 1 in different methods as follows.
Given Input numbers are 488, 715, 147, 690
In the factoring method, we have to find the divisors of all numbers
Divisors of 488 :
The positive integer divisors of 488 that completely divides 488 are.
1, 2, 4, 8, 61, 122, 244, 488
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
GCD of numbers is the greatest common divisor
So, the GCD (488, 715, 147, 690) = 1.
Given numbers are 488, 715, 147, 690
The list of prime factors of all numbers are
Prime factors of 488 are 2 x 2 x 2 x 61
Prime factors of 715 are 5 x 11 x 13
Prime factors of 147 are 3 x 7 x 7
Prime factors of 690 are 2 x 3 x 5 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 488, 715, 147, 690
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(488, 715) = 348920
GCD(488, 715) = ( 488 x 715 ) / 348920
= 488 / 715
= 488
Step2:
LCM(1, 147) = 147
GCD(1, 147) = ( 1 x 147 ) / 147
= 1 / 147
= 1
Step3:
LCM(1, 690) = 690
GCD(1, 690) = ( 1 x 690 ) / 690
= 1 / 690
= 1
So, Greatest Common Divisor of 488, 715, 147, 690 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 488, 715, 147, 690
The greatest common divisor of numbers 488, 715, 147, 690 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 488, 715, 147, 690 is 1.
1. What is the GCD of 488, 715, 147, 690?
GCD of given numbers 488, 715, 147, 690 is 1
2. How to calculate the greatest common divisor of 488, 715, 147, 690?
We can find the highest common divisor of 488, 715, 147, 690 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 488, 715, 147, 690 i.e 1.
3. How can I use the GCD of 488, 715, 147, 690Calculator?
Out the numbers 488, 715, 147, 690 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.