Online GCD Calculator is useful to find the GCD of 644, 264, 316, 140 quickly. Get the easiest ways to solve the greatest common divisor of 644, 264, 316, 140 i.e 4 in different methods as follows.
Given Input numbers are 644, 264, 316, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 644 :
The positive integer divisors of 644 that completely divides 644 are.
1, 2, 4, 7, 14, 23, 28, 46, 92, 161, 322, 644
Divisors of 264 :
The positive integer divisors of 264 that completely divides 264 are.
1, 2, 3, 4, 6, 8, 11, 12, 22, 24, 33, 44, 66, 88, 132, 264
Divisors of 316 :
The positive integer divisors of 316 that completely divides 316 are.
1, 2, 4, 79, 158, 316
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
GCD of numbers is the greatest common divisor
So, the GCD (644, 264, 316, 140) = 4.
Given numbers are 644, 264, 316, 140
The list of prime factors of all numbers are
Prime factors of 644 are 2 x 2 x 7 x 23
Prime factors of 264 are 2 x 2 x 2 x 3 x 11
Prime factors of 316 are 2 x 2 x 79
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 644, 264, 316, 140 is 4.
Given numbers are 644, 264, 316, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(644, 264) = 42504
GCD(644, 264) = ( 644 x 264 ) / 42504
= 644 / 264
= 644
Step2:
LCM(4, 316) = 316
GCD(4, 316) = ( 4 x 316 ) / 316
= 4 / 316
= 4
Step3:
LCM(4, 140) = 140
GCD(4, 140) = ( 4 x 140 ) / 140
= 4 / 140
= 4
So, Greatest Common Divisor of 644, 264, 316, 140 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 644, 264, 316, 140
The greatest common divisor of numbers 644, 264, 316, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 644, 264, 316, 140 is 4.
1. What is the GCD of 644, 264, 316, 140?
GCD of given numbers 644, 264, 316, 140 is 4
2. How to calculate the greatest common divisor of 644, 264, 316, 140?
We can find the highest common divisor of 644, 264, 316, 140 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 644, 264, 316, 140 i.e 4.
3. How can I use the GCD of 644, 264, 316, 140Calculator?
Out the numbers 644, 264, 316, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.