Online GCD Calculator is useful to find the GCD of 670, 654, 705, 109 quickly. Get the easiest ways to solve the greatest common divisor of 670, 654, 705, 109 i.e 1 in different methods as follows.
Given Input numbers are 670, 654, 705, 109
In the factoring method, we have to find the divisors of all numbers
Divisors of 670 :
The positive integer divisors of 670 that completely divides 670 are.
1, 2, 5, 10, 67, 134, 335, 670
Divisors of 654 :
The positive integer divisors of 654 that completely divides 654 are.
1, 2, 3, 6, 109, 218, 327, 654
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 109 :
The positive integer divisors of 109 that completely divides 109 are.
1, 109
GCD of numbers is the greatest common divisor
So, the GCD (670, 654, 705, 109) = 1.
Given numbers are 670, 654, 705, 109
The list of prime factors of all numbers are
Prime factors of 670 are 2 x 5 x 67
Prime factors of 654 are 2 x 3 x 109
Prime factors of 705 are 3 x 5 x 47
Prime factors of 109 are 109
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 670, 654, 705, 109
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(670, 654) = 219090
GCD(670, 654) = ( 670 x 654 ) / 219090
= 670 / 654
= 670
Step2:
LCM(2, 705) = 1410
GCD(2, 705) = ( 2 x 705 ) / 1410
= 2 / 705
= 2
Step3:
LCM(1, 109) = 109
GCD(1, 109) = ( 1 x 109 ) / 109
= 1 / 109
= 1
So, Greatest Common Divisor of 670, 654, 705, 109 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 670, 654, 705, 109
The greatest common divisor of numbers 670, 654, 705, 109 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 670, 654, 705, 109 is 1.
1. What is the GCD of 670, 654, 705, 109?
GCD of given numbers 670, 654, 705, 109 is 1
2. How to calculate the greatest common divisor of 670, 654, 705, 109?
We can find the highest common divisor of 670, 654, 705, 109 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 670, 654, 705, 109 i.e 1.
3. How can I use the GCD of 670, 654, 705, 109Calculator?
Out the numbers 670, 654, 705, 109 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.