Online GCD Calculator is useful to find the GCD of 992, 708, 698, 120 quickly. Get the easiest ways to solve the greatest common divisor of 992, 708, 698, 120 i.e 2 in different methods as follows.
Given Input numbers are 992, 708, 698, 120
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 708 :
The positive integer divisors of 708 that completely divides 708 are.
1, 2, 3, 4, 6, 12, 59, 118, 177, 236, 354, 708
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
Divisors of 120 :
The positive integer divisors of 120 that completely divides 120 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120
GCD of numbers is the greatest common divisor
So, the GCD (992, 708, 698, 120) = 2.
Given numbers are 992, 708, 698, 120
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 708 are 2 x 2 x 3 x 59
Prime factors of 698 are 2 x 349
Prime factors of 120 are 2 x 2 x 2 x 3 x 5
The highest common occurrence is 21
Therefore, GCD of 992, 708, 698, 120 is 2.
Given numbers are 992, 708, 698, 120
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(992, 708) = 175584
GCD(992, 708) = ( 992 x 708 ) / 175584
= 992 / 708
= 992
Step2:
LCM(4, 698) = 1396
GCD(4, 698) = ( 4 x 698 ) / 1396
= 4 / 698
= 4
Step3:
LCM(2, 120) = 120
GCD(2, 120) = ( 2 x 120 ) / 120
= 2 / 120
= 2
So, Greatest Common Divisor of 992, 708, 698, 120 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 992, 708, 698, 120
The greatest common divisor of numbers 992, 708, 698, 120 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 992, 708, 698, 120 is 2.
1. What is the GCD of 992, 708, 698, 120?
GCD of given numbers 992, 708, 698, 120 is 2
2. How to calculate the greatest common divisor of 992, 708, 698, 120?
We can find the highest common divisor of 992, 708, 698, 120 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, 708, 698, 120 i.e 2.
3. How can I use the GCD of 992, 708, 698, 120Calculator?
Out the numbers 992, 708, 698, 120 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.