Online GCD Calculator is useful to find the GCD of 364, 864, 956, 140 quickly. Get the easiest ways to solve the greatest common divisor of 364, 864, 956, 140 i.e 4 in different methods as follows.
Given Input numbers are 364, 864, 956, 140
In the factoring method, we have to find the divisors of all numbers
Divisors of 364 :
The positive integer divisors of 364 that completely divides 364 are.
1, 2, 4, 7, 13, 14, 26, 28, 52, 91, 182, 364
Divisors of 864 :
The positive integer divisors of 864 that completely divides 864 are.
1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 32, 36, 48, 54, 72, 96, 108, 144, 216, 288, 432, 864
Divisors of 956 :
The positive integer divisors of 956 that completely divides 956 are.
1, 2, 4, 239, 478, 956
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 (364, 864, 956, 140) = 4.
Given numbers are 364, 864, 956, 140
The list of prime factors of all numbers are
Prime factors of 364 are 2 x 2 x 7 x 13
Prime factors of 864 are 2 x 2 x 2 x 2 x 2 x 3 x 3 x 3
Prime factors of 956 are 2 x 2 x 239
Prime factors of 140 are 2 x 2 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 364, 864, 956, 140 is 4.
Given numbers are 364, 864, 956, 140
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(364, 864) = 78624
GCD(364, 864) = ( 364 x 864 ) / 78624
= 364 / 864
= 364
Step2:
LCM(4, 956) = 956
GCD(4, 956) = ( 4 x 956 ) / 956
= 4 / 956
= 4
Step3:
LCM(4, 140) = 140
GCD(4, 140) = ( 4 x 140 ) / 140
= 4 / 140
= 4
So, Greatest Common Divisor of 364, 864, 956, 140 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 364, 864, 956, 140
The greatest common divisor of numbers 364, 864, 956, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 364, 864, 956, 140 is 4.
1. What is the GCD of 364, 864, 956, 140?
GCD of given numbers 364, 864, 956, 140 is 4
2. How to calculate the greatest common divisor of 364, 864, 956, 140?
We can find the highest common divisor of 364, 864, 956, 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 364, 864, 956, 140 i.e 4.
3. How can I use the GCD of 364, 864, 956, 140Calculator?
Out the numbers 364, 864, 956, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.