Online GCD Calculator is useful to find the GCD of 998, 148, 700 quickly. Get the easiest ways to solve the greatest common divisor of 998, 148, 700 i.e 2 in different methods as follows.
Given Input numbers are 998, 148, 700
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 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
GCD of numbers is the greatest common divisor
So, the GCD (998, 148, 700) = 2.
Given numbers are 998, 148, 700
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 148 are 2 x 2 x 37
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
The highest common occurrence is 21
Therefore, GCD of 998, 148, 700 is 2.
Given numbers are 998, 148, 700
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 148) = 73852
GCD(998, 148) = ( 998 x 148 ) / 73852
= 998 / 148
= 998
Step2:
LCM(2, 700) = 700
GCD(2, 700) = ( 2 x 700 ) / 700
= 2 / 700
= 2
So, Greatest Common Divisor of 998, 148, 700 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 148, 700
The greatest common divisor of numbers 998, 148, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 148, 700 is 2.
1. What is the GCD of 998, 148, 700?
GCD of given numbers 998, 148, 700 is 2
2. How to calculate the greatest common divisor of 998, 148, 700?
We can find the highest common divisor of 998, 148, 700 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, 148, 700 i.e 2.
3. How can I use the GCD of 998, 148, 700Calculator?
Out the numbers 998, 148, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.