Online GCD Calculator is useful to find the GCD of 981, 348, 434, 709 quickly. Get the easiest ways to solve the greatest common divisor of 981, 348, 434, 709 i.e 1 in different methods as follows.
Given Input numbers are 981, 348, 434, 709
In the factoring method, we have to find the divisors of all numbers
Divisors of 981 :
The positive integer divisors of 981 that completely divides 981 are.
1, 3, 9, 109, 327, 981
Divisors of 348 :
The positive integer divisors of 348 that completely divides 348 are.
1, 2, 3, 4, 6, 12, 29, 58, 87, 116, 174, 348
Divisors of 434 :
The positive integer divisors of 434 that completely divides 434 are.
1, 2, 7, 14, 31, 62, 217, 434
Divisors of 709 :
The positive integer divisors of 709 that completely divides 709 are.
1, 709
GCD of numbers is the greatest common divisor
So, the GCD (981, 348, 434, 709) = 1.
Given numbers are 981, 348, 434, 709
The list of prime factors of all numbers are
Prime factors of 981 are 3 x 3 x 109
Prime factors of 348 are 2 x 2 x 3 x 29
Prime factors of 434 are 2 x 7 x 31
Prime factors of 709 are 709
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 981, 348, 434, 709
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(981, 348) = 113796
GCD(981, 348) = ( 981 x 348 ) / 113796
= 981 / 348
= 981
Step2:
LCM(3, 434) = 1302
GCD(3, 434) = ( 3 x 434 ) / 1302
= 3 / 434
= 3
Step3:
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
= 1 / 709
= 1
So, Greatest Common Divisor of 981, 348, 434, 709 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 981, 348, 434, 709
The greatest common divisor of numbers 981, 348, 434, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 981, 348, 434, 709 is 1.
1. What is the GCD of 981, 348, 434, 709?
GCD of given numbers 981, 348, 434, 709 is 1
2. How to calculate the greatest common divisor of 981, 348, 434, 709?
We can find the highest common divisor of 981, 348, 434, 709 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 981, 348, 434, 709 i.e 1.
3. How can I use the GCD of 981, 348, 434, 709Calculator?
Out the numbers 981, 348, 434, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.