Online GCD Calculator is useful to find the GCD of 109, 122, 907, 980 quickly. Get the easiest ways to solve the greatest common divisor of 109, 122, 907, 980 i.e 1 in different methods as follows.
Given Input numbers are 109, 122, 907, 980
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 122 :
The positive integer divisors of 122 that completely divides 122 are.
1, 2, 61, 122
Divisors of 907 :
The positive integer divisors of 907 that completely divides 907 are.
1, 907
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
GCD of numbers is the greatest common divisor
So, the GCD (109, 122, 907, 980) = 1.
Given numbers are 109, 122, 907, 980
The list of prime factors of all numbers are
Prime factors of 109 are 109
Prime factors of 122 are 2 x 61
Prime factors of 907 are 907
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 109, 122, 907, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(109, 122) = 13298
GCD(109, 122) = ( 109 x 122 ) / 13298
= 109 / 122
= 109
Step2:
LCM(1, 907) = 907
GCD(1, 907) = ( 1 x 907 ) / 907
= 1 / 907
= 1
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 109, 122, 907, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 109, 122, 907, 980
The greatest common divisor of numbers 109, 122, 907, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 109, 122, 907, 980 is 1.
1. What is the GCD of 109, 122, 907, 980?
GCD of given numbers 109, 122, 907, 980 is 1
2. How to calculate the greatest common divisor of 109, 122, 907, 980?
We can find the highest common divisor of 109, 122, 907, 980 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, 122, 907, 980 i.e 1.
3. How can I use the GCD of 109, 122, 907, 980Calculator?
Out the numbers 109, 122, 907, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.