Online GCD Calculator is useful to find the GCD of 320, 700, 452, 276 quickly. Get the easiest ways to solve the greatest common divisor of 320, 700, 452, 276 i.e 4 in different methods as follows.
Given Input numbers are 320, 700, 452, 276
In the factoring method, we have to find the divisors of all numbers
Divisors of 320 :
The positive integer divisors of 320 that completely divides 320 are.
1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 64, 80, 160, 320
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 452 :
The positive integer divisors of 452 that completely divides 452 are.
1, 2, 4, 113, 226, 452
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
GCD of numbers is the greatest common divisor
So, the GCD (320, 700, 452, 276) = 4.
Given numbers are 320, 700, 452, 276
The list of prime factors of all numbers are
Prime factors of 320 are 2 x 2 x 2 x 2 x 2 x 2 x 5
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 452 are 2 x 2 x 113
Prime factors of 276 are 2 x 2 x 3 x 23
The highest common occurrence is 22
Therefore, GCD of 320, 700, 452, 276 is 4.
Given numbers are 320, 700, 452, 276
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(320, 700) = 11200
GCD(320, 700) = ( 320 x 700 ) / 11200
= 320 / 700
= 320
Step2:
LCM(20, 452) = 2260
GCD(20, 452) = ( 20 x 452 ) / 2260
= 20 / 452
= 20
Step3:
LCM(4, 276) = 276
GCD(4, 276) = ( 4 x 276 ) / 276
= 4 / 276
= 4
So, Greatest Common Divisor of 320, 700, 452, 276 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 320, 700, 452, 276
The greatest common divisor of numbers 320, 700, 452, 276 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 320, 700, 452, 276 is 4.
1. What is the GCD of 320, 700, 452, 276?
GCD of given numbers 320, 700, 452, 276 is 4
2. How to calculate the greatest common divisor of 320, 700, 452, 276?
We can find the highest common divisor of 320, 700, 452, 276 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 320, 700, 452, 276 i.e 4.
3. How can I use the GCD of 320, 700, 452, 276Calculator?
Out the numbers 320, 700, 452, 276 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.