Online GCD Calculator is useful to find the GCD of 706, 828, 921, 625 quickly. Get the easiest ways to solve the greatest common divisor of 706, 828, 921, 625 i.e 1 in different methods as follows.
Given Input numbers are 706, 828, 921, 625
In the factoring method, we have to find the divisors of all numbers
Divisors of 706 :
The positive integer divisors of 706 that completely divides 706 are.
1, 2, 353, 706
Divisors of 828 :
The positive integer divisors of 828 that completely divides 828 are.
1, 2, 3, 4, 6, 9, 12, 18, 23, 36, 46, 69, 92, 138, 207, 276, 414, 828
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 625 :
The positive integer divisors of 625 that completely divides 625 are.
1, 5, 25, 125, 625
GCD of numbers is the greatest common divisor
So, the GCD (706, 828, 921, 625) = 1.
Given numbers are 706, 828, 921, 625
The list of prime factors of all numbers are
Prime factors of 706 are 2 x 353
Prime factors of 828 are 2 x 2 x 3 x 3 x 23
Prime factors of 921 are 3 x 307
Prime factors of 625 are 5 x 5 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 706, 828, 921, 625
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(706, 828) = 292284
GCD(706, 828) = ( 706 x 828 ) / 292284
= 706 / 828
= 706
Step2:
LCM(2, 921) = 1842
GCD(2, 921) = ( 2 x 921 ) / 1842
= 2 / 921
= 2
Step3:
LCM(1, 625) = 625
GCD(1, 625) = ( 1 x 625 ) / 625
= 1 / 625
= 1
So, Greatest Common Divisor of 706, 828, 921, 625 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 706, 828, 921, 625
The greatest common divisor of numbers 706, 828, 921, 625 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 706, 828, 921, 625 is 1.
1. What is the GCD of 706, 828, 921, 625?
GCD of given numbers 706, 828, 921, 625 is 1
2. How to calculate the greatest common divisor of 706, 828, 921, 625?
We can find the highest common divisor of 706, 828, 921, 625 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 706, 828, 921, 625 i.e 1.
3. How can I use the GCD of 706, 828, 921, 625Calculator?
Out the numbers 706, 828, 921, 625 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.