Online GCD Calculator is useful to find the GCD of 240, 921, 648, 177 quickly. Get the easiest ways to solve the greatest common divisor of 240, 921, 648, 177 i.e 3 in different methods as follows.
Given Input numbers are 240, 921, 648, 177
In the factoring method, we have to find the divisors of all numbers
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
Divisors of 921 :
The positive integer divisors of 921 that completely divides 921 are.
1, 3, 307, 921
Divisors of 648 :
The positive integer divisors of 648 that completely divides 648 are.
1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 27, 36, 54, 72, 81, 108, 162, 216, 324, 648
Divisors of 177 :
The positive integer divisors of 177 that completely divides 177 are.
1, 3, 59, 177
GCD of numbers is the greatest common divisor
So, the GCD (240, 921, 648, 177) = 3.
Given numbers are 240, 921, 648, 177
The list of prime factors of all numbers are
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
Prime factors of 921 are 3 x 307
Prime factors of 648 are 2 x 2 x 2 x 3 x 3 x 3 x 3
Prime factors of 177 are 3 x 59
The highest common occurrence is 31
Therefore, GCD of 240, 921, 648, 177 is 3.
Given numbers are 240, 921, 648, 177
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(240, 921) = 73680
GCD(240, 921) = ( 240 x 921 ) / 73680
= 240 / 921
= 240
Step2:
LCM(3, 648) = 648
GCD(3, 648) = ( 3 x 648 ) / 648
= 3 / 648
= 3
Step3:
LCM(3, 177) = 177
GCD(3, 177) = ( 3 x 177 ) / 177
= 3 / 177
= 3
So, Greatest Common Divisor of 240, 921, 648, 177 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 240, 921, 648, 177
The greatest common divisor of numbers 240, 921, 648, 177 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 240, 921, 648, 177 is 3.
1. What is the GCD of 240, 921, 648, 177?
GCD of given numbers 240, 921, 648, 177 is 3
2. How to calculate the greatest common divisor of 240, 921, 648, 177?
We can find the highest common divisor of 240, 921, 648, 177 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 240, 921, 648, 177 i.e 3.
3. How can I use the GCD of 240, 921, 648, 177Calculator?
Out the numbers 240, 921, 648, 177 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.