Online GCD Calculator is useful to find the GCD of 992, 638, 972, 668 quickly. Get the easiest ways to solve the greatest common divisor of 992, 638, 972, 668 i.e 2 in different methods as follows.
Given Input numbers are 992, 638, 972, 668
In the factoring method, we have to find the divisors of all numbers
Divisors of 992 :
The positive integer divisors of 992 that completely divides 992 are.
1, 2, 4, 8, 16, 31, 32, 62, 124, 248, 496, 992
Divisors of 638 :
The positive integer divisors of 638 that completely divides 638 are.
1, 2, 11, 22, 29, 58, 319, 638
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 668 :
The positive integer divisors of 668 that completely divides 668 are.
1, 2, 4, 167, 334, 668
GCD of numbers is the greatest common divisor
So, the GCD (992, 638, 972, 668) = 2.
Given numbers are 992, 638, 972, 668
The list of prime factors of all numbers are
Prime factors of 992 are 2 x 2 x 2 x 2 x 2 x 31
Prime factors of 638 are 2 x 11 x 29
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 668 are 2 x 2 x 167
The highest common occurrence is 21
Therefore, GCD of 992, 638, 972, 668 is 2.
Given numbers are 992, 638, 972, 668
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 638) = 316448
GCD(992, 638) = ( 992 x 638 ) / 316448
= 992 / 638
= 992
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 668) = 668
GCD(2, 668) = ( 2 x 668 ) / 668
= 2 / 668
= 2
So, Greatest Common Divisor of 992, 638, 972, 668 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 638, 972, 668
The greatest common divisor of numbers 992, 638, 972, 668 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 638, 972, 668 is 2.
1. What is the GCD of 992, 638, 972, 668?
GCD of given numbers 992, 638, 972, 668 is 2
2. How to calculate the greatest common divisor of 992, 638, 972, 668?
We can find the highest common divisor of 992, 638, 972, 668 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 992, 638, 972, 668 i.e 2.
3. How can I use the GCD of 992, 638, 972, 668Calculator?
Out the numbers 992, 638, 972, 668 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.