Online GCD Calculator is useful to find the GCD of 903, 126, 861, 354 quickly. Get the easiest ways to solve the greatest common divisor of 903, 126, 861, 354 i.e 3 in different methods as follows.
Given Input numbers are 903, 126, 861, 354
In the factoring method, we have to find the divisors of all numbers
Divisors of 903 :
The positive integer divisors of 903 that completely divides 903 are.
1, 3, 7, 21, 43, 129, 301, 903
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 861 :
The positive integer divisors of 861 that completely divides 861 are.
1, 3, 7, 21, 41, 123, 287, 861
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
GCD of numbers is the greatest common divisor
So, the GCD (903, 126, 861, 354) = 3.
Given numbers are 903, 126, 861, 354
The list of prime factors of all numbers are
Prime factors of 903 are 3 x 7 x 43
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 861 are 3 x 7 x 41
Prime factors of 354 are 2 x 3 x 59
The highest common occurrence is 31
Therefore, GCD of 903, 126, 861, 354 is 3.
Given numbers are 903, 126, 861, 354
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(903, 126) = 5418
GCD(903, 126) = ( 903 x 126 ) / 5418
= 903 / 126
= 903
Step2:
LCM(21, 861) = 861
GCD(21, 861) = ( 21 x 861 ) / 861
= 21 / 861
= 21
Step3:
LCM(21, 354) = 2478
GCD(21, 354) = ( 21 x 354 ) / 2478
= 21 / 354
= 21
So, Greatest Common Divisor of 903, 126, 861, 354 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 903, 126, 861, 354
The greatest common divisor of numbers 903, 126, 861, 354 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 903, 126, 861, 354 is 3.
1. What is the GCD of 903, 126, 861, 354?
GCD of given numbers 903, 126, 861, 354 is 3
2. How to calculate the greatest common divisor of 903, 126, 861, 354?
We can find the highest common divisor of 903, 126, 861, 354 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 903, 126, 861, 354 i.e 3.
3. How can I use the GCD of 903, 126, 861, 354Calculator?
Out the numbers 903, 126, 861, 354 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.