Online GCD Calculator is useful to find the GCD of 692, 148, 998, 712 quickly. Get the easiest ways to solve the greatest common divisor of 692, 148, 998, 712 i.e 2 in different methods as follows.
Given Input numbers are 692, 148, 998, 712
In the factoring method, we have to find the divisors of all numbers
Divisors of 692 :
The positive integer divisors of 692 that completely divides 692 are.
1, 2, 4, 173, 346, 692
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 712 :
The positive integer divisors of 712 that completely divides 712 are.
1, 2, 4, 8, 89, 178, 356, 712
GCD of numbers is the greatest common divisor
So, the GCD (692, 148, 998, 712) = 2.
Given numbers are 692, 148, 998, 712
The list of prime factors of all numbers are
Prime factors of 692 are 2 x 2 x 173
Prime factors of 148 are 2 x 2 x 37
Prime factors of 998 are 2 x 499
Prime factors of 712 are 2 x 2 x 2 x 89
The highest common occurrence is 21
Therefore, GCD of 692, 148, 998, 712 is 2.
Given numbers are 692, 148, 998, 712
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(692, 148) = 25604
GCD(692, 148) = ( 692 x 148 ) / 25604
= 692 / 148
= 692
Step2:
LCM(4, 998) = 1996
GCD(4, 998) = ( 4 x 998 ) / 1996
= 4 / 998
= 4
Step3:
LCM(2, 712) = 712
GCD(2, 712) = ( 2 x 712 ) / 712
= 2 / 712
= 2
So, Greatest Common Divisor of 692, 148, 998, 712 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 692, 148, 998, 712
The greatest common divisor of numbers 692, 148, 998, 712 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 692, 148, 998, 712 is 2.
1. What is the GCD of 692, 148, 998, 712?
GCD of given numbers 692, 148, 998, 712 is 2
2. How to calculate the greatest common divisor of 692, 148, 998, 712?
We can find the highest common divisor of 692, 148, 998, 712 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 692, 148, 998, 712 i.e 2.
3. How can I use the GCD of 692, 148, 998, 712Calculator?
Out the numbers 692, 148, 998, 712 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.