Online GCD Calculator is useful to find the GCD of 998, 476, 420, 742 quickly. Get the easiest ways to solve the greatest common divisor of 998, 476, 420, 742 i.e 2 in different methods as follows.
Given Input numbers are 998, 476, 420, 742
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 476 :
The positive integer divisors of 476 that completely divides 476 are.
1, 2, 4, 7, 14, 17, 28, 34, 68, 119, 238, 476
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (998, 476, 420, 742) = 2.
Given numbers are 998, 476, 420, 742
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 476 are 2 x 2 x 7 x 17
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 742 are 2 x 7 x 53
The highest common occurrence is 21
Therefore, GCD of 998, 476, 420, 742 is 2.
Given numbers are 998, 476, 420, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 476) = 237524
GCD(998, 476) = ( 998 x 476 ) / 237524
= 998 / 476
= 998
Step2:
LCM(2, 420) = 420
GCD(2, 420) = ( 2 x 420 ) / 420
= 2 / 420
= 2
Step3:
LCM(2, 742) = 742
GCD(2, 742) = ( 2 x 742 ) / 742
= 2 / 742
= 2
So, Greatest Common Divisor of 998, 476, 420, 742 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 476, 420, 742
The greatest common divisor of numbers 998, 476, 420, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 476, 420, 742 is 2.
1. What is the GCD of 998, 476, 420, 742?
GCD of given numbers 998, 476, 420, 742 is 2
2. How to calculate the greatest common divisor of 998, 476, 420, 742?
We can find the highest common divisor of 998, 476, 420, 742 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, 476, 420, 742 i.e 2.
3. How can I use the GCD of 998, 476, 420, 742Calculator?
Out the numbers 998, 476, 420, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.