Online GCD Calculator is useful to find the GCD of 998, 776, 362, 142 quickly. Get the easiest ways to solve the greatest common divisor of 998, 776, 362, 142 i.e 2 in different methods as follows.
Given Input numbers are 998, 776, 362, 142
In the factoring method, we have to find the divisors of all numbers
Divisors of 998 :
The positive integer divisors of 998 that completely divides 998 are.
1, 2, 499, 998
Divisors of 776 :
The positive integer divisors of 776 that completely divides 776 are.
1, 2, 4, 8, 97, 194, 388, 776
Divisors of 362 :
The positive integer divisors of 362 that completely divides 362 are.
1, 2, 181, 362
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
GCD of numbers is the greatest common divisor
So, the GCD (998, 776, 362, 142) = 2.
Given numbers are 998, 776, 362, 142
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 776 are 2 x 2 x 2 x 97
Prime factors of 362 are 2 x 181
Prime factors of 142 are 2 x 71
The highest common occurrence is 21
Therefore, GCD of 998, 776, 362, 142 is 2.
Given numbers are 998, 776, 362, 142
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 776) = 387224
GCD(998, 776) = ( 998 x 776 ) / 387224
= 998 / 776
= 998
Step2:
LCM(2, 362) = 362
GCD(2, 362) = ( 2 x 362 ) / 362
= 2 / 362
= 2
Step3:
LCM(2, 142) = 142
GCD(2, 142) = ( 2 x 142 ) / 142
= 2 / 142
= 2
So, Greatest Common Divisor of 998, 776, 362, 142 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 776, 362, 142
The greatest common divisor of numbers 998, 776, 362, 142 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 776, 362, 142 is 2.
1. What is the GCD of 998, 776, 362, 142?
GCD of given numbers 998, 776, 362, 142 is 2
2. How to calculate the greatest common divisor of 998, 776, 362, 142?
We can find the highest common divisor of 998, 776, 362, 142 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 998, 776, 362, 142 i.e 2.
3. How can I use the GCD of 998, 776, 362, 142Calculator?
Out the numbers 998, 776, 362, 142 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.