Online GCD Calculator is useful to find the GCD of 655, 972, 343, 117 quickly. Get the easiest ways to solve the greatest common divisor of 655, 972, 343, 117 i.e 1 in different methods as follows.
Given Input numbers are 655, 972, 343, 117
In the factoring method, we have to find the divisors of all numbers
Divisors of 655 :
The positive integer divisors of 655 that completely divides 655 are.
1, 5, 131, 655
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
GCD of numbers is the greatest common divisor
So, the GCD (655, 972, 343, 117) = 1.
Given numbers are 655, 972, 343, 117
The list of prime factors of all numbers are
Prime factors of 655 are 5 x 131
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 343 are 7 x 7 x 7
Prime factors of 117 are 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 655, 972, 343, 117
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(655, 972) = 636660
GCD(655, 972) = ( 655 x 972 ) / 636660
= 655 / 972
= 655
Step2:
LCM(1, 343) = 343
GCD(1, 343) = ( 1 x 343 ) / 343
= 1 / 343
= 1
Step3:
LCM(1, 117) = 117
GCD(1, 117) = ( 1 x 117 ) / 117
= 1 / 117
= 1
So, Greatest Common Divisor of 655, 972, 343, 117 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 655, 972, 343, 117
The greatest common divisor of numbers 655, 972, 343, 117 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 655, 972, 343, 117 is 1.
1. What is the GCD of 655, 972, 343, 117?
GCD of given numbers 655, 972, 343, 117 is 1
2. How to calculate the greatest common divisor of 655, 972, 343, 117?
We can find the highest common divisor of 655, 972, 343, 117 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 655, 972, 343, 117 i.e 1.
3. How can I use the GCD of 655, 972, 343, 117Calculator?
Out the numbers 655, 972, 343, 117 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.