Online GCD Calculator is useful to find the GCD of 441, 707, 973 quickly. Get the easiest ways to solve the greatest common divisor of 441, 707, 973 i.e 7 in different methods as follows.
Given Input numbers are 441, 707, 973
In the factoring method, we have to find the divisors of all numbers
Divisors of 441 :
The positive integer divisors of 441 that completely divides 441 are.
1, 3, 7, 9, 21, 49, 63, 147, 441
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 973 :
The positive integer divisors of 973 that completely divides 973 are.
1, 7, 139, 973
GCD of numbers is the greatest common divisor
So, the GCD (441, 707, 973) = 7.
Given numbers are 441, 707, 973
The list of prime factors of all numbers are
Prime factors of 441 are 3 x 3 x 7 x 7
Prime factors of 707 are 7 x 101
Prime factors of 973 are 7 x 139
The highest common occurrence is 71
Therefore, GCD of 441, 707, 973 is 7.
Given numbers are 441, 707, 973
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(441, 707) = 44541
GCD(441, 707) = ( 441 x 707 ) / 44541
= 441 / 707
= 441
Step2:
LCM(7, 973) = 973
GCD(7, 973) = ( 7 x 973 ) / 973
= 7 / 973
= 7
So, Greatest Common Divisor of 441, 707, 973 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 441, 707, 973
The greatest common divisor of numbers 441, 707, 973 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 441, 707, 973 is 7.
1. What is the GCD of 441, 707, 973?
GCD of given numbers 441, 707, 973 is 7
2. How to calculate the greatest common divisor of 441, 707, 973?
We can find the highest common divisor of 441, 707, 973 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 441, 707, 973 i.e 7.
3. How can I use the GCD of 441, 707, 973Calculator?
Out the numbers 441, 707, 973 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.