Online GCD Calculator is useful to find the GCD of 132, 686, 921, 674 quickly. Get the easiest ways to solve the greatest common divisor of 132, 686, 921, 674 i.e 1 in different methods as follows.
Given Input numbers are 132, 686, 921, 674
In the factoring method, we have to find the divisors of all numbers
Divisors of 132 :
The positive integer divisors of 132 that completely divides 132 are.
1, 2, 3, 4, 6, 11, 12, 22, 33, 44, 66, 132
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
GCD of numbers is the greatest common divisor
So, the GCD (132, 686, 921, 674) = 1.
Given numbers are 132, 686, 921, 674
The list of prime factors of all numbers are
Prime factors of 132 are 2 x 2 x 3 x 11
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 921 are 3 x 307
Prime factors of 674 are 2 x 337
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 132, 686, 921, 674
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(132, 686) = 45276
GCD(132, 686) = ( 132 x 686 ) / 45276
= 132 / 686
= 132
Step2:
LCM(2, 921) = 1842
GCD(2, 921) = ( 2 x 921 ) / 1842
= 2 / 921
= 2
Step3:
LCM(1, 674) = 674
GCD(1, 674) = ( 1 x 674 ) / 674
= 1 / 674
= 1
So, Greatest Common Divisor of 132, 686, 921, 674 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 132, 686, 921, 674
The greatest common divisor of numbers 132, 686, 921, 674 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 132, 686, 921, 674 is 1.
1. What is the GCD of 132, 686, 921, 674?
GCD of given numbers 132, 686, 921, 674 is 1
2. How to calculate the greatest common divisor of 132, 686, 921, 674?
We can find the highest common divisor of 132, 686, 921, 674 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 132, 686, 921, 674 i.e 1.
3. How can I use the GCD of 132, 686, 921, 674Calculator?
Out the numbers 132, 686, 921, 674 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.