Online GCD Calculator is useful to find the GCD of 630, 831, 507, 153 quickly. Get the easiest ways to solve the greatest common divisor of 630, 831, 507, 153 i.e 3 in different methods as follows.
Given Input numbers are 630, 831, 507, 153
In the factoring method, we have to find the divisors of all numbers
Divisors of 630 :
The positive integer divisors of 630 that completely divides 630 are.
1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 30, 35, 42, 45, 63, 70, 90, 105, 126, 210, 315, 630
Divisors of 831 :
The positive integer divisors of 831 that completely divides 831 are.
1, 3, 277, 831
Divisors of 507 :
The positive integer divisors of 507 that completely divides 507 are.
1, 3, 13, 39, 169, 507
Divisors of 153 :
The positive integer divisors of 153 that completely divides 153 are.
1, 3, 9, 17, 51, 153
GCD of numbers is the greatest common divisor
So, the GCD (630, 831, 507, 153) = 3.
Given numbers are 630, 831, 507, 153
The list of prime factors of all numbers are
Prime factors of 630 are 2 x 3 x 3 x 5 x 7
Prime factors of 831 are 3 x 277
Prime factors of 507 are 3 x 13 x 13
Prime factors of 153 are 3 x 3 x 17
The highest common occurrence is 31
Therefore, GCD of 630, 831, 507, 153 is 3.
Given numbers are 630, 831, 507, 153
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(630, 831) = 174510
GCD(630, 831) = ( 630 x 831 ) / 174510
= 630 / 831
= 630
Step2:
LCM(3, 507) = 507
GCD(3, 507) = ( 3 x 507 ) / 507
= 3 / 507
= 3
Step3:
LCM(3, 153) = 153
GCD(3, 153) = ( 3 x 153 ) / 153
= 3 / 153
= 3
So, Greatest Common Divisor of 630, 831, 507, 153 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 630, 831, 507, 153
The greatest common divisor of numbers 630, 831, 507, 153 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 630, 831, 507, 153 is 3.
1. What is the GCD of 630, 831, 507, 153?
GCD of given numbers 630, 831, 507, 153 is 3
2. How to calculate the greatest common divisor of 630, 831, 507, 153?
We can find the highest common divisor of 630, 831, 507, 153 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 630, 831, 507, 153 i.e 3.
3. How can I use the GCD of 630, 831, 507, 153Calculator?
Out the numbers 630, 831, 507, 153 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.