Online GCD Calculator is useful to find the GCD of 705, 398, 758, 121 quickly. Get the easiest ways to solve the greatest common divisor of 705, 398, 758, 121 i.e 1 in different methods as follows.
Given Input numbers are 705, 398, 758, 121
In the factoring method, we have to find the divisors of all numbers
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 398 :
The positive integer divisors of 398 that completely divides 398 are.
1, 2, 199, 398
Divisors of 758 :
The positive integer divisors of 758 that completely divides 758 are.
1, 2, 379, 758
Divisors of 121 :
The positive integer divisors of 121 that completely divides 121 are.
1, 11, 121
GCD of numbers is the greatest common divisor
So, the GCD (705, 398, 758, 121) = 1.
Given numbers are 705, 398, 758, 121
The list of prime factors of all numbers are
Prime factors of 705 are 3 x 5 x 47
Prime factors of 398 are 2 x 199
Prime factors of 758 are 2 x 379
Prime factors of 121 are 11 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 705, 398, 758, 121
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(705, 398) = 280590
GCD(705, 398) = ( 705 x 398 ) / 280590
= 705 / 398
= 705
Step2:
LCM(1, 758) = 758
GCD(1, 758) = ( 1 x 758 ) / 758
= 1 / 758
= 1
Step3:
LCM(1, 121) = 121
GCD(1, 121) = ( 1 x 121 ) / 121
= 1 / 121
= 1
So, Greatest Common Divisor of 705, 398, 758, 121 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 705, 398, 758, 121
The greatest common divisor of numbers 705, 398, 758, 121 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 705, 398, 758, 121 is 1.
1. What is the GCD of 705, 398, 758, 121?
GCD of given numbers 705, 398, 758, 121 is 1
2. How to calculate the greatest common divisor of 705, 398, 758, 121?
We can find the highest common divisor of 705, 398, 758, 121 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 705, 398, 758, 121 i.e 1.
3. How can I use the GCD of 705, 398, 758, 121Calculator?
Out the numbers 705, 398, 758, 121 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.