Online GCD Calculator is useful to find the GCD of 276, 141, 645, 564 quickly. Get the easiest ways to solve the greatest common divisor of 276, 141, 645, 564 i.e 3 in different methods as follows.
Given Input numbers are 276, 141, 645, 564
In the factoring method, we have to find the divisors of all numbers
Divisors of 276 :
The positive integer divisors of 276 that completely divides 276 are.
1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276
Divisors of 141 :
The positive integer divisors of 141 that completely divides 141 are.
1, 3, 47, 141
Divisors of 645 :
The positive integer divisors of 645 that completely divides 645 are.
1, 3, 5, 15, 43, 129, 215, 645
Divisors of 564 :
The positive integer divisors of 564 that completely divides 564 are.
1, 2, 3, 4, 6, 12, 47, 94, 141, 188, 282, 564
GCD of numbers is the greatest common divisor
So, the GCD (276, 141, 645, 564) = 3.
Given numbers are 276, 141, 645, 564
The list of prime factors of all numbers are
Prime factors of 276 are 2 x 2 x 3 x 23
Prime factors of 141 are 3 x 47
Prime factors of 645 are 3 x 5 x 43
Prime factors of 564 are 2 x 2 x 3 x 47
The highest common occurrence is 31
Therefore, GCD of 276, 141, 645, 564 is 3.
Given numbers are 276, 141, 645, 564
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(276, 141) = 12972
GCD(276, 141) = ( 276 x 141 ) / 12972
= 276 / 141
= 276
Step2:
LCM(3, 645) = 645
GCD(3, 645) = ( 3 x 645 ) / 645
= 3 / 645
= 3
Step3:
LCM(3, 564) = 564
GCD(3, 564) = ( 3 x 564 ) / 564
= 3 / 564
= 3
So, Greatest Common Divisor of 276, 141, 645, 564 is 3
Here are some samples of GCD of Numbers calculations.
Given numbers are 276, 141, 645, 564
The greatest common divisor of numbers 276, 141, 645, 564 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 276, 141, 645, 564 is 3.
1. What is the GCD of 276, 141, 645, 564?
GCD of given numbers 276, 141, 645, 564 is 3
2. How to calculate the greatest common divisor of 276, 141, 645, 564?
We can find the highest common divisor of 276, 141, 645, 564 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 276, 141, 645, 564 i.e 3.
3. How can I use the GCD of 276, 141, 645, 564Calculator?
Out the numbers 276, 141, 645, 564 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.