Online GCD Calculator is useful to find the GCD of 712, 762, 524, 158 quickly. Get the easiest ways to solve the greatest common divisor of 712, 762, 524, 158 i.e 2 in different methods as follows.
Given Input numbers are 712, 762, 524, 158
In the factoring method, we have to find the divisors of all numbers
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
Divisors of 762 :
The positive integer divisors of 762 that completely divides 762 are.
1, 2, 3, 6, 127, 254, 381, 762
Divisors of 524 :
The positive integer divisors of 524 that completely divides 524 are.
1, 2, 4, 131, 262, 524
Divisors of 158 :
The positive integer divisors of 158 that completely divides 158 are.
1, 2, 79, 158
GCD of numbers is the greatest common divisor
So, the GCD (712, 762, 524, 158) = 2.
Given numbers are 712, 762, 524, 158
The list of prime factors of all numbers are
Prime factors of 712 are 2 x 2 x 2 x 89
Prime factors of 762 are 2 x 3 x 127
Prime factors of 524 are 2 x 2 x 131
Prime factors of 158 are 2 x 79
The highest common occurrence is 21
Therefore, GCD of 712, 762, 524, 158 is 2.
Given numbers are 712, 762, 524, 158
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(712, 762) = 271272
GCD(712, 762) = ( 712 x 762 ) / 271272
= 712 / 762
= 712
Step2:
LCM(2, 524) = 524
GCD(2, 524) = ( 2 x 524 ) / 524
= 2 / 524
= 2
Step3:
LCM(2, 158) = 158
GCD(2, 158) = ( 2 x 158 ) / 158
= 2 / 158
= 2
So, Greatest Common Divisor of 712, 762, 524, 158 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 712, 762, 524, 158
The greatest common divisor of numbers 712, 762, 524, 158 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 712, 762, 524, 158 is 2.
1. What is the GCD of 712, 762, 524, 158?
GCD of given numbers 712, 762, 524, 158 is 2
2. How to calculate the greatest common divisor of 712, 762, 524, 158?
We can find the highest common divisor of 712, 762, 524, 158 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 712, 762, 524, 158 i.e 2.
3. How can I use the GCD of 712, 762, 524, 158Calculator?
Out the numbers 712, 762, 524, 158 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.