Online GCD Calculator is useful to find the GCD of 104, 980, 421, 749 quickly. Get the easiest ways to solve the greatest common divisor of 104, 980, 421, 749 i.e 1 in different methods as follows.
Given Input numbers are 104, 980, 421, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 104 :
The positive integer divisors of 104 that completely divides 104 are.
1, 2, 4, 8, 13, 26, 52, 104
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
Divisors of 421 :
The positive integer divisors of 421 that completely divides 421 are.
1, 421
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (104, 980, 421, 749) = 1.
Given numbers are 104, 980, 421, 749
The list of prime factors of all numbers are
Prime factors of 104 are 2 x 2 x 2 x 13
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 421 are 421
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 104, 980, 421, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(104, 980) = 25480
GCD(104, 980) = ( 104 x 980 ) / 25480
= 104 / 980
= 104
Step2:
LCM(4, 421) = 1684
GCD(4, 421) = ( 4 x 421 ) / 1684
= 4 / 421
= 4
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 104, 980, 421, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 104, 980, 421, 749
The greatest common divisor of numbers 104, 980, 421, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 104, 980, 421, 749 is 1.
1. What is the GCD of 104, 980, 421, 749?
GCD of given numbers 104, 980, 421, 749 is 1
2. How to calculate the greatest common divisor of 104, 980, 421, 749?
We can find the highest common divisor of 104, 980, 421, 749 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 104, 980, 421, 749 i.e 1.
3. How can I use the GCD of 104, 980, 421, 749Calculator?
Out the numbers 104, 980, 421, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.