Online GCD Calculator is useful to find the GCD of 925, 704, 420 quickly. Get the easiest ways to solve the greatest common divisor of 925, 704, 420 i.e 1 in different methods as follows.
Given Input numbers are 925, 704, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 925 :
The positive integer divisors of 925 that completely divides 925 are.
1, 5, 25, 37, 185, 925
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (925, 704, 420) = 1.
Given numbers are 925, 704, 420
The list of prime factors of all numbers are
Prime factors of 925 are 5 x 5 x 37
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 925, 704, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(925, 704) = 651200
GCD(925, 704) = ( 925 x 704 ) / 651200
= 925 / 704
= 925
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
So, Greatest Common Divisor of 925, 704, 420 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 925, 704, 420
The greatest common divisor of numbers 925, 704, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 925, 704, 420 is 1.
1. What is the GCD of 925, 704, 420?
GCD of given numbers 925, 704, 420 is 1
2. How to calculate the greatest common divisor of 925, 704, 420?
We can find the highest common divisor of 925, 704, 420 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 925, 704, 420 i.e 1.
3. How can I use the GCD of 925, 704, 420Calculator?
Out the numbers 925, 704, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.