Online GCD Calculator is useful to find the GCD of 752, 724, 526, 692 quickly. Get the easiest ways to solve the greatest common divisor of 752, 724, 526, 692 i.e 2 in different methods as follows.
Given Input numbers are 752, 724, 526, 692
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 724 :
The positive integer divisors of 724 that completely divides 724 are.
1, 2, 4, 181, 362, 724
Divisors of 526 :
The positive integer divisors of 526 that completely divides 526 are.
1, 2, 263, 526
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
GCD of numbers is the greatest common divisor
So, the GCD (752, 724, 526, 692) = 2.
Given numbers are 752, 724, 526, 692
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 724 are 2 x 2 x 181
Prime factors of 526 are 2 x 263
Prime factors of 692 are 2 x 2 x 173
The highest common occurrence is 21
Therefore, GCD of 752, 724, 526, 692 is 2.
Given numbers are 752, 724, 526, 692
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(752, 724) = 136112
GCD(752, 724) = ( 752 x 724 ) / 136112
= 752 / 724
= 752
Step2:
LCM(4, 526) = 1052
GCD(4, 526) = ( 4 x 526 ) / 1052
= 4 / 526
= 4
Step3:
LCM(2, 692) = 692
GCD(2, 692) = ( 2 x 692 ) / 692
= 2 / 692
= 2
So, Greatest Common Divisor of 752, 724, 526, 692 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 752, 724, 526, 692
The greatest common divisor of numbers 752, 724, 526, 692 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 752, 724, 526, 692 is 2.
1. What is the GCD of 752, 724, 526, 692?
GCD of given numbers 752, 724, 526, 692 is 2
2. How to calculate the greatest common divisor of 752, 724, 526, 692?
We can find the highest common divisor of 752, 724, 526, 692 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, 724, 526, 692 i.e 2.
3. How can I use the GCD of 752, 724, 526, 692Calculator?
Out the numbers 752, 724, 526, 692 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.