Online GCD Calculator is useful to find the GCD of 676, 267, 825, 352 quickly. Get the easiest ways to solve the greatest common divisor of 676, 267, 825, 352 i.e 1 in different methods as follows.
Given Input numbers are 676, 267, 825, 352
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 267 :
The positive integer divisors of 267 that completely divides 267 are.
1, 3, 89, 267
Divisors of 825 :
The positive integer divisors of 825 that completely divides 825 are.
1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825
Divisors of 352 :
The positive integer divisors of 352 that completely divides 352 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 176, 352
GCD of numbers is the greatest common divisor
So, the GCD (676, 267, 825, 352) = 1.
Given numbers are 676, 267, 825, 352
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 267 are 3 x 89
Prime factors of 825 are 3 x 5 x 5 x 11
Prime factors of 352 are 2 x 2 x 2 x 2 x 2 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 676, 267, 825, 352
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 267) = 180492
GCD(676, 267) = ( 676 x 267 ) / 180492
= 676 / 267
= 676
Step2:
LCM(1, 825) = 825
GCD(1, 825) = ( 1 x 825 ) / 825
= 1 / 825
= 1
Step3:
LCM(1, 352) = 352
GCD(1, 352) = ( 1 x 352 ) / 352
= 1 / 352
= 1
So, Greatest Common Divisor of 676, 267, 825, 352 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 267, 825, 352
The greatest common divisor of numbers 676, 267, 825, 352 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 267, 825, 352 is 1.
1. What is the GCD of 676, 267, 825, 352?
GCD of given numbers 676, 267, 825, 352 is 1
2. How to calculate the greatest common divisor of 676, 267, 825, 352?
We can find the highest common divisor of 676, 267, 825, 352 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 676, 267, 825, 352 i.e 1.
3. How can I use the GCD of 676, 267, 825, 352Calculator?
Out the numbers 676, 267, 825, 352 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.