Online GCD Calculator is useful to find the GCD of 126, 898, 75, 660 quickly. Get the easiest ways to solve the greatest common divisor of 126, 898, 75, 660 i.e 1 in different methods as follows.
Given Input numbers are 126, 898, 75, 660
In the factoring method, we have to find the divisors of all numbers
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
Divisors of 75 :
The positive integer divisors of 75 that completely divides 75 are.
1, 3, 5, 15, 25, 75
Divisors of 660 :
The positive integer divisors of 660 that completely divides 660 are.
1, 2, 3, 4, 5, 6, 10, 11, 12, 15, 20, 22, 30, 33, 44, 55, 60, 66, 110, 132, 165, 220, 330, 660
GCD of numbers is the greatest common divisor
So, the GCD (126, 898, 75, 660) = 1.
Given numbers are 126, 898, 75, 660
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 898 are 2 x 449
Prime factors of 75 are 3 x 5 x 5
Prime factors of 660 are 2 x 2 x 3 x 5 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 126, 898, 75, 660
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 898) = 56574
GCD(126, 898) = ( 126 x 898 ) / 56574
= 126 / 898
= 126
Step2:
LCM(2, 75) = 150
GCD(2, 75) = ( 2 x 75 ) / 150
= 2 / 75
= 2
Step3:
LCM(1, 660) = 660
GCD(1, 660) = ( 1 x 660 ) / 660
= 1 / 660
= 1
So, Greatest Common Divisor of 126, 898, 75, 660 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 898, 75, 660
The greatest common divisor of numbers 126, 898, 75, 660 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 898, 75, 660 is 1.
1. What is the GCD of 126, 898, 75, 660?
GCD of given numbers 126, 898, 75, 660 is 1
2. How to calculate the greatest common divisor of 126, 898, 75, 660?
We can find the highest common divisor of 126, 898, 75, 660 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 126, 898, 75, 660 i.e 1.
3. How can I use the GCD of 126, 898, 75, 660Calculator?
Out the numbers 126, 898, 75, 660 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.