Online GCD Calculator is useful to find the GCD of 294, 138, 959, 909 quickly. Get the easiest ways to solve the greatest common divisor of 294, 138, 959, 909 i.e 1 in different methods as follows.
Given Input numbers are 294, 138, 959, 909
In the factoring method, we have to find the divisors of all numbers
Divisors of 294 :
The positive integer divisors of 294 that completely divides 294 are.
1, 2, 3, 6, 7, 14, 21, 42, 49, 98, 147, 294
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
Divisors of 959 :
The positive integer divisors of 959 that completely divides 959 are.
1, 7, 137, 959
Divisors of 909 :
The positive integer divisors of 909 that completely divides 909 are.
1, 3, 9, 101, 303, 909
GCD of numbers is the greatest common divisor
So, the GCD (294, 138, 959, 909) = 1.
Given numbers are 294, 138, 959, 909
The list of prime factors of all numbers are
Prime factors of 294 are 2 x 3 x 7 x 7
Prime factors of 138 are 2 x 3 x 23
Prime factors of 959 are 7 x 137
Prime factors of 909 are 3 x 3 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 294, 138, 959, 909
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(294, 138) = 6762
GCD(294, 138) = ( 294 x 138 ) / 6762
= 294 / 138
= 294
Step2:
LCM(6, 959) = 5754
GCD(6, 959) = ( 6 x 959 ) / 5754
= 6 / 959
= 6
Step3:
LCM(1, 909) = 909
GCD(1, 909) = ( 1 x 909 ) / 909
= 1 / 909
= 1
So, Greatest Common Divisor of 294, 138, 959, 909 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 294, 138, 959, 909
The greatest common divisor of numbers 294, 138, 959, 909 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 294, 138, 959, 909 is 1.
1. What is the GCD of 294, 138, 959, 909?
GCD of given numbers 294, 138, 959, 909 is 1
2. How to calculate the greatest common divisor of 294, 138, 959, 909?
We can find the highest common divisor of 294, 138, 959, 909 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 294, 138, 959, 909 i.e 1.
3. How can I use the GCD of 294, 138, 959, 909Calculator?
Out the numbers 294, 138, 959, 909 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.