Online GCD Calculator is useful to find the GCD of 360, 844, 356, 280 quickly. Get the easiest ways to solve the greatest common divisor of 360, 844, 356, 280 i.e 4 in different methods as follows.
Given Input numbers are 360, 844, 356, 280
In the factoring method, we have to find the divisors of all numbers
Divisors of 360 :
The positive integer divisors of 360 that completely divides 360 are.
1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360
Divisors of 844 :
The positive integer divisors of 844 that completely divides 844 are.
1, 2, 4, 211, 422, 844
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
Divisors of 280 :
The positive integer divisors of 280 that completely divides 280 are.
1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 70, 140, 280
GCD of numbers is the greatest common divisor
So, the GCD (360, 844, 356, 280) = 4.
Given numbers are 360, 844, 356, 280
The list of prime factors of all numbers are
Prime factors of 360 are 2 x 2 x 2 x 3 x 3 x 5
Prime factors of 844 are 2 x 2 x 211
Prime factors of 356 are 2 x 2 x 89
Prime factors of 280 are 2 x 2 x 2 x 5 x 7
The highest common occurrence is 22
Therefore, GCD of 360, 844, 356, 280 is 4.
Given numbers are 360, 844, 356, 280
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(360, 844) = 75960
GCD(360, 844) = ( 360 x 844 ) / 75960
= 360 / 844
= 360
Step2:
LCM(4, 356) = 356
GCD(4, 356) = ( 4 x 356 ) / 356
= 4 / 356
= 4
Step3:
LCM(4, 280) = 280
GCD(4, 280) = ( 4 x 280 ) / 280
= 4 / 280
= 4
So, Greatest Common Divisor of 360, 844, 356, 280 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 360, 844, 356, 280
The greatest common divisor of numbers 360, 844, 356, 280 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 360, 844, 356, 280 is 4.
1. What is the GCD of 360, 844, 356, 280?
GCD of given numbers 360, 844, 356, 280 is 4
2. How to calculate the greatest common divisor of 360, 844, 356, 280?
We can find the highest common divisor of 360, 844, 356, 280 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 360, 844, 356, 280 i.e 4.
3. How can I use the GCD of 360, 844, 356, 280Calculator?
Out the numbers 360, 844, 356, 280 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.