Online GCD Calculator is useful to find the GCD of 740, 420, 923 quickly. Get the easiest ways to solve the greatest common divisor of 740, 420, 923 i.e 1 in different methods as follows.
Given Input numbers are 740, 420, 923
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 923 :
The positive integer divisors of 923 that completely divides 923 are.
1, 13, 71, 923
GCD of numbers is the greatest common divisor
So, the GCD (740, 420, 923) = 1.
Given numbers are 740, 420, 923
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 923 are 13 x 71
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 740, 420, 923
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 420) = 15540
GCD(740, 420) = ( 740 x 420 ) / 15540
= 740 / 420
= 740
Step2:
LCM(20, 923) = 18460
GCD(20, 923) = ( 20 x 923 ) / 18460
= 20 / 923
= 20
So, Greatest Common Divisor of 740, 420, 923 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 420, 923
The greatest common divisor of numbers 740, 420, 923 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 420, 923 is 1.
1. What is the GCD of 740, 420, 923?
GCD of given numbers 740, 420, 923 is 1
2. How to calculate the greatest common divisor of 740, 420, 923?
We can find the highest common divisor of 740, 420, 923 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 740, 420, 923 i.e 1.
3. How can I use the GCD of 740, 420, 923Calculator?
Out the numbers 740, 420, 923 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.