Online GCD Calculator is useful to find the GCD of 915, 126, 898, 756 quickly. Get the easiest ways to solve the greatest common divisor of 915, 126, 898, 756 i.e 1 in different methods as follows.
Given Input numbers are 915, 126, 898, 756
In the factoring method, we have to find the divisors of all numbers
Divisors of 915 :
The positive integer divisors of 915 that completely divides 915 are.
1, 3, 5, 15, 61, 183, 305, 915
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 756 :
The positive integer divisors of 756 that completely divides 756 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 27, 28, 36, 42, 54, 63, 84, 108, 126, 189, 252, 378, 756
GCD of numbers is the greatest common divisor
So, the GCD (915, 126, 898, 756) = 1.
Given numbers are 915, 126, 898, 756
The list of prime factors of all numbers are
Prime factors of 915 are 3 x 5 x 61
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 898 are 2 x 449
Prime factors of 756 are 2 x 2 x 3 x 3 x 3 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 915, 126, 898, 756
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(915, 126) = 38430
GCD(915, 126) = ( 915 x 126 ) / 38430
= 915 / 126
= 915
Step2:
LCM(3, 898) = 2694
GCD(3, 898) = ( 3 x 898 ) / 2694
= 3 / 898
= 3
Step3:
LCM(1, 756) = 756
GCD(1, 756) = ( 1 x 756 ) / 756
= 1 / 756
= 1
So, Greatest Common Divisor of 915, 126, 898, 756 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 915, 126, 898, 756
The greatest common divisor of numbers 915, 126, 898, 756 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 915, 126, 898, 756 is 1.
1. What is the GCD of 915, 126, 898, 756?
GCD of given numbers 915, 126, 898, 756 is 1
2. How to calculate the greatest common divisor of 915, 126, 898, 756?
We can find the highest common divisor of 915, 126, 898, 756 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 915, 126, 898, 756 i.e 1.
3. How can I use the GCD of 915, 126, 898, 756Calculator?
Out the numbers 915, 126, 898, 756 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.