Online GCD Calculator is useful to find the GCD of 524, 916, 628, 532 quickly. Get the easiest ways to solve the greatest common divisor of 524, 916, 628, 532 i.e 4 in different methods as follows.
Given Input numbers are 524, 916, 628, 532
In the factoring method, we have to find the divisors of all numbers
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
Divisors of 628 :
The positive integer divisors of 628 that completely divides 628 are.
1, 2, 4, 157, 314, 628
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
GCD of numbers is the greatest common divisor
So, the GCD (524, 916, 628, 532) = 4.
Given numbers are 524, 916, 628, 532
The list of prime factors of all numbers are
Prime factors of 524 are 2 x 2 x 131
Prime factors of 916 are 2 x 2 x 229
Prime factors of 628 are 2 x 2 x 157
Prime factors of 532 are 2 x 2 x 7 x 19
The highest common occurrence is 22
Therefore, GCD of 524, 916, 628, 532 is 4.
Given numbers are 524, 916, 628, 532
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(524, 916) = 119996
GCD(524, 916) = ( 524 x 916 ) / 119996
= 524 / 916
= 524
Step2:
LCM(4, 628) = 628
GCD(4, 628) = ( 4 x 628 ) / 628
= 4 / 628
= 4
Step3:
LCM(4, 532) = 532
GCD(4, 532) = ( 4 x 532 ) / 532
= 4 / 532
= 4
So, Greatest Common Divisor of 524, 916, 628, 532 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 524, 916, 628, 532
The greatest common divisor of numbers 524, 916, 628, 532 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 524, 916, 628, 532 is 4.
1. What is the GCD of 524, 916, 628, 532?
GCD of given numbers 524, 916, 628, 532 is 4
2. How to calculate the greatest common divisor of 524, 916, 628, 532?
We can find the highest common divisor of 524, 916, 628, 532 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 524, 916, 628, 532 i.e 4.
3. How can I use the GCD of 524, 916, 628, 532Calculator?
Out the numbers 524, 916, 628, 532 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.