Online GCD Calculator is useful to find the GCD of 974, 104, 940, 135 quickly. Get the easiest ways to solve the greatest common divisor of 974, 104, 940, 135 i.e 1 in different methods as follows.
Given Input numbers are 974, 104, 940, 135
In the factoring method, we have to find the divisors of all numbers
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 940 :
The positive integer divisors of 940 that completely divides 940 are.
1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
GCD of numbers is the greatest common divisor
So, the GCD (974, 104, 940, 135) = 1.
Given numbers are 974, 104, 940, 135
The list of prime factors of all numbers are
Prime factors of 974 are 2 x 487
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 940 are 2 x 2 x 5 x 47
Prime factors of 135 are 3 x 3 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 974, 104, 940, 135
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(974, 104) = 50648
GCD(974, 104) = ( 974 x 104 ) / 50648
= 974 / 104
= 974
Step2:
LCM(2, 940) = 940
GCD(2, 940) = ( 2 x 940 ) / 940
= 2 / 940
= 2
Step3:
LCM(2, 135) = 270
GCD(2, 135) = ( 2 x 135 ) / 270
= 2 / 135
= 2
So, Greatest Common Divisor of 974, 104, 940, 135 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 974, 104, 940, 135
The greatest common divisor of numbers 974, 104, 940, 135 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 974, 104, 940, 135 is 1.
1. What is the GCD of 974, 104, 940, 135?
GCD of given numbers 974, 104, 940, 135 is 1
2. How to calculate the greatest common divisor of 974, 104, 940, 135?
We can find the highest common divisor of 974, 104, 940, 135 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 974, 104, 940, 135 i.e 1.
3. How can I use the GCD of 974, 104, 940, 135Calculator?
Out the numbers 974, 104, 940, 135 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.