Online GCD Calculator is useful to find the GCD of 807, 126, 645, 252 quickly. Get the easiest ways to solve the greatest common divisor of 807, 126, 645, 252 i.e 3 in different methods as follows.
Given Input numbers are 807, 126, 645, 252
In the factoring method, we have to find the divisors of all numbers
Divisors of 807 :
The positive integer divisors of 807 that completely divides 807 are.
1, 3, 269, 807
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 252 :
The positive integer divisors of 252 that completely divides 252 are.
1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 252
GCD of numbers is the greatest common divisor
So, the GCD (807, 126, 645, 252) = 3.
Given numbers are 807, 126, 645, 252
The list of prime factors of all numbers are
Prime factors of 807 are 3 x 269
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 645 are 3 x 5 x 43
Prime factors of 252 are 2 x 2 x 3 x 3 x 7
The highest common occurrence is 31
Therefore, GCD of 807, 126, 645, 252 is 3.
Given numbers are 807, 126, 645, 252
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(807, 126) = 33894
GCD(807, 126) = ( 807 x 126 ) / 33894
= 807 / 126
= 807
Step2:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
Step3:
LCM(3, 252) = 252
GCD(3, 252) = ( 3 x 252 ) / 252
= 3 / 252
= 3
So, Greatest Common Divisor of 807, 126, 645, 252 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 807, 126, 645, 252
The greatest common divisor of numbers 807, 126, 645, 252 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 807, 126, 645, 252 is 3.
1. What is the GCD of 807, 126, 645, 252?
GCD of given numbers 807, 126, 645, 252 is 3
2. How to calculate the greatest common divisor of 807, 126, 645, 252?
We can find the highest common divisor of 807, 126, 645, 252 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 807, 126, 645, 252 i.e 3.
3. How can I use the GCD of 807, 126, 645, 252Calculator?
Out the numbers 807, 126, 645, 252 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.