Online GCD Calculator is useful to find the GCD of 109, 971, 724, 709 quickly. Get the easiest ways to solve the greatest common divisor of 109, 971, 724, 709 i.e 1 in different methods as follows.
Given Input numbers are 109, 971, 724, 709
In the factoring method, we have to find the divisors of all numbers
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
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 (109, 971, 724, 709) = 1.
Given numbers are 109, 971, 724, 709
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 971 are 971
Prime factors of 724 are 2 x 2 x 181
Prime factors of 709 are 709
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 971, 724, 709
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 971) = 105839
GCD(109, 971) = ( 109 x 971 ) / 105839
= 109 / 971
= 109
Step2:
LCM(1, 724) = 724
GCD(1, 724) = ( 1 x 724 ) / 724
= 1 / 724
= 1
Step3:
LCM(1, 709) = 709
GCD(1, 709) = ( 1 x 709 ) / 709
= 1 / 709
= 1
So, Greatest Common Divisor of 109, 971, 724, 709 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 971, 724, 709
The greatest common divisor of numbers 109, 971, 724, 709 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 971, 724, 709 is 1.
1. What is the GCD of 109, 971, 724, 709?
GCD of given numbers 109, 971, 724, 709 is 1
2. How to calculate the greatest common divisor of 109, 971, 724, 709?
We can find the highest common divisor of 109, 971, 724, 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 109, 971, 724, 709 i.e 1.
3. How can I use the GCD of 109, 971, 724, 709Calculator?
Out the numbers 109, 971, 724, 709 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.