Online GCD Calculator is useful to find the GCD of 691, 108, 272, 980 quickly. Get the easiest ways to solve the greatest common divisor of 691, 108, 272, 980 i.e 1 in different methods as follows.
Given Input numbers are 691, 108, 272, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 691 :
The positive integer divisors of 691 that completely divides 691 are.
1, 691
Divisors of 108 :
The positive integer divisors of 108 that completely divides 108 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 108
Divisors of 272 :
The positive integer divisors of 272 that completely divides 272 are.
1, 2, 4, 8, 16, 17, 34, 68, 136, 272
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 (691, 108, 272, 980) = 1.
Given numbers are 691, 108, 272, 980
The list of prime factors of all numbers are
Prime factors of 691 are 691
Prime factors of 108 are 2 x 2 x 3 x 3 x 3
Prime factors of 272 are 2 x 2 x 2 x 2 x 17
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 691, 108, 272, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(691, 108) = 74628
GCD(691, 108) = ( 691 x 108 ) / 74628
= 691 / 108
= 691
Step2:
LCM(1, 272) = 272
GCD(1, 272) = ( 1 x 272 ) / 272
= 1 / 272
= 1
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 691, 108, 272, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 691, 108, 272, 980
The greatest common divisor of numbers 691, 108, 272, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 691, 108, 272, 980 is 1.
1. What is the GCD of 691, 108, 272, 980?
GCD of given numbers 691, 108, 272, 980 is 1
2. How to calculate the greatest common divisor of 691, 108, 272, 980?
We can find the highest common divisor of 691, 108, 272, 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 691, 108, 272, 980 i.e 1.
3. How can I use the GCD of 691, 108, 272, 980Calculator?
Out the numbers 691, 108, 272, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.