Online GCD Calculator is useful to find the GCD of 100, 792, 297, 298 quickly. Get the easiest ways to solve the greatest common divisor of 100, 792, 297, 298 i.e 1 in different methods as follows.
Given Input numbers are 100, 792, 297, 298
In the factoring method, we have to find the divisors of all numbers
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 792 :
The positive integer divisors of 792 that completely divides 792 are.
1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 66, 72, 88, 99, 132, 198, 264, 396, 792
Divisors of 297 :
The positive integer divisors of 297 that completely divides 297 are.
1, 3, 9, 11, 27, 33, 99, 297
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
GCD of numbers is the greatest common divisor
So, the GCD (100, 792, 297, 298) = 1.
Given numbers are 100, 792, 297, 298
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 792 are 2 x 2 x 2 x 3 x 3 x 11
Prime factors of 297 are 3 x 3 x 3 x 11
Prime factors of 298 are 2 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 792, 297, 298
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 792) = 19800
GCD(100, 792) = ( 100 x 792 ) / 19800
= 100 / 792
= 100
Step2:
LCM(4, 297) = 1188
GCD(4, 297) = ( 4 x 297 ) / 1188
= 4 / 297
= 4
Step3:
LCM(1, 298) = 298
GCD(1, 298) = ( 1 x 298 ) / 298
= 1 / 298
= 1
So, Greatest Common Divisor of 100, 792, 297, 298 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 792, 297, 298
The greatest common divisor of numbers 100, 792, 297, 298 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 792, 297, 298 is 1.
1. What is the GCD of 100, 792, 297, 298?
GCD of given numbers 100, 792, 297, 298 is 1
2. How to calculate the greatest common divisor of 100, 792, 297, 298?
We can find the highest common divisor of 100, 792, 297, 298 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 100, 792, 297, 298 i.e 1.
3. How can I use the GCD of 100, 792, 297, 298Calculator?
Out the numbers 100, 792, 297, 298 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.