Online GCD Calculator is useful to find the GCD of 532, 634, 340, 824 quickly. Get the easiest ways to solve the greatest common divisor of 532, 634, 340, 824 i.e 2 in different methods as follows.
Given Input numbers are 532, 634, 340, 824
In the factoring method, we have to find the divisors of all numbers
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 634 :
The positive integer divisors of 634 that completely divides 634 are.
1, 2, 317, 634
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 824 :
The positive integer divisors of 824 that completely divides 824 are.
1, 2, 4, 8, 103, 206, 412, 824
GCD of numbers is the greatest common divisor
So, the GCD (532, 634, 340, 824) = 2.
Given numbers are 532, 634, 340, 824
The list of prime factors of all numbers are
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 634 are 2 x 317
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 824 are 2 x 2 x 2 x 103
The highest common occurrence is 21
Therefore, GCD of 532, 634, 340, 824 is 2.
Given numbers are 532, 634, 340, 824
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(532, 634) = 168644
GCD(532, 634) = ( 532 x 634 ) / 168644
= 532 / 634
= 532
Step2:
LCM(2, 340) = 340
GCD(2, 340) = ( 2 x 340 ) / 340
= 2 / 340
= 2
Step3:
LCM(2, 824) = 824
GCD(2, 824) = ( 2 x 824 ) / 824
= 2 / 824
= 2
So, Greatest Common Divisor of 532, 634, 340, 824 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 532, 634, 340, 824
The greatest common divisor of numbers 532, 634, 340, 824 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 532, 634, 340, 824 is 2.
1. What is the GCD of 532, 634, 340, 824?
GCD of given numbers 532, 634, 340, 824 is 2
2. How to calculate the greatest common divisor of 532, 634, 340, 824?
We can find the highest common divisor of 532, 634, 340, 824 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 532, 634, 340, 824 i.e 2.
3. How can I use the GCD of 532, 634, 340, 824Calculator?
Out the numbers 532, 634, 340, 824 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.