Online GCD Calculator is useful to find the GCD of 105, 364, 988, 526 quickly. Get the easiest ways to solve the greatest common divisor of 105, 364, 988, 526 i.e 1 in different methods as follows.
Given Input numbers are 105, 364, 988, 526
In the factoring method, we have to find the divisors of all numbers
Divisors of 105 :
The positive integer divisors of 105 that completely divides 105 are.
1, 3, 5, 7, 15, 21, 35, 105
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 988 :
The positive integer divisors of 988 that completely divides 988 are.
1, 2, 4, 13, 19, 26, 38, 52, 76, 247, 494, 988
Divisors of 526 :
The positive integer divisors of 526 that completely divides 526 are.
1, 2, 263, 526
GCD of numbers is the greatest common divisor
So, the GCD (105, 364, 988, 526) = 1.
Given numbers are 105, 364, 988, 526
The list of prime factors of all numbers are
Prime factors of 105 are 3 x 5 x 7
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 988 are 2 x 2 x 13 x 19
Prime factors of 526 are 2 x 263
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 105, 364, 988, 526
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(105, 364) = 5460
GCD(105, 364) = ( 105 x 364 ) / 5460
= 105 / 364
= 105
Step2:
LCM(7, 988) = 6916
GCD(7, 988) = ( 7 x 988 ) / 6916
= 7 / 988
= 7
Step3:
LCM(1, 526) = 526
GCD(1, 526) = ( 1 x 526 ) / 526
= 1 / 526
= 1
So, Greatest Common Divisor of 105, 364, 988, 526 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 105, 364, 988, 526
The greatest common divisor of numbers 105, 364, 988, 526 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 105, 364, 988, 526 is 1.
1. What is the GCD of 105, 364, 988, 526?
GCD of given numbers 105, 364, 988, 526 is 1
2. How to calculate the greatest common divisor of 105, 364, 988, 526?
We can find the highest common divisor of 105, 364, 988, 526 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 105, 364, 988, 526 i.e 1.
3. How can I use the GCD of 105, 364, 988, 526Calculator?
Out the numbers 105, 364, 988, 526 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.