Online GCD Calculator is useful to find the GCD of 752, 532, 472, 562 quickly. Get the easiest ways to solve the greatest common divisor of 752, 532, 472, 562 i.e 2 in different methods as follows.
Given Input numbers are 752, 532, 472, 562
In the factoring method, we have to find the divisors of all numbers
Divisors of 752 :
The positive integer divisors of 752 that completely divides 752 are.
1, 2, 4, 8, 16, 47, 94, 188, 376, 752
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 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
Divisors of 562 :
The positive integer divisors of 562 that completely divides 562 are.
1, 2, 281, 562
GCD of numbers is the greatest common divisor
So, the GCD (752, 532, 472, 562) = 2.
Given numbers are 752, 532, 472, 562
The list of prime factors of all numbers are
Prime factors of 752 are 2 x 2 x 2 x 2 x 47
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 562 are 2 x 281
The highest common occurrence is 21
Therefore, GCD of 752, 532, 472, 562 is 2.
Given numbers are 752, 532, 472, 562
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 532) = 100016
GCD(752, 532) = ( 752 x 532 ) / 100016
= 752 / 532
= 752
Step2:
LCM(4, 472) = 472
GCD(4, 472) = ( 4 x 472 ) / 472
= 4 / 472
= 4
Step3:
LCM(4, 562) = 1124
GCD(4, 562) = ( 4 x 562 ) / 1124
= 4 / 562
= 4
So, Greatest Common Divisor of 752, 532, 472, 562 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 532, 472, 562
The greatest common divisor of numbers 752, 532, 472, 562 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 532, 472, 562 is 2.
1. What is the GCD of 752, 532, 472, 562?
GCD of given numbers 752, 532, 472, 562 is 2
2. How to calculate the greatest common divisor of 752, 532, 472, 562?
We can find the highest common divisor of 752, 532, 472, 562 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 752, 532, 472, 562 i.e 2.
3. How can I use the GCD of 752, 532, 472, 562Calculator?
Out the numbers 752, 532, 472, 562 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.