Online GCD Calculator is useful to find the GCD of 998, 100, 763, 240 quickly. Get the easiest ways to solve the greatest common divisor of 998, 100, 763, 240 i.e 1 in different methods as follows.
Given Input numbers are 998, 100, 763, 240
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 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 763 :
The positive integer divisors of 763 that completely divides 763 are.
1, 7, 109, 763
Divisors of 240 :
The positive integer divisors of 240 that completely divides 240 are.
1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240
GCD of numbers is the greatest common divisor
So, the GCD (998, 100, 763, 240) = 1.
Given numbers are 998, 100, 763, 240
The list of prime factors of all numbers are
Prime factors of 998 are 2 x 499
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 763 are 7 x 109
Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 998, 100, 763, 240
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(998, 100) = 49900
GCD(998, 100) = ( 998 x 100 ) / 49900
= 998 / 100
= 998
Step2:
LCM(2, 763) = 1526
GCD(2, 763) = ( 2 x 763 ) / 1526
= 2 / 763
= 2
Step3:
LCM(1, 240) = 240
GCD(1, 240) = ( 1 x 240 ) / 240
= 1 / 240
= 1
So, Greatest Common Divisor of 998, 100, 763, 240 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 998, 100, 763, 240
The greatest common divisor of numbers 998, 100, 763, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 998, 100, 763, 240 is 1.
1. What is the GCD of 998, 100, 763, 240?
GCD of given numbers 998, 100, 763, 240 is 1
2. How to calculate the greatest common divisor of 998, 100, 763, 240?
We can find the highest common divisor of 998, 100, 763, 240 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, 100, 763, 240 i.e 1.
3. How can I use the GCD of 998, 100, 763, 240Calculator?
Out the numbers 998, 100, 763, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.