Online GCD Calculator is useful to find the GCD of 492, 807, 967, 100 quickly. Get the easiest ways to solve the greatest common divisor of 492, 807, 967, 100 i.e 1 in different methods as follows.
Given Input numbers are 492, 807, 967, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 492 :
The positive integer divisors of 492 that completely divides 492 are.
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 246, 492
Divisors of 807 :
The positive integer divisors of 807 that completely divides 807 are.
1, 3, 269, 807
Divisors of 967 :
The positive integer divisors of 967 that completely divides 967 are.
1, 967
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
GCD of numbers is the greatest common divisor
So, the GCD (492, 807, 967, 100) = 1.
Given numbers are 492, 807, 967, 100
The list of prime factors of all numbers are
Prime factors of 492 are 2 x 2 x 3 x 41
Prime factors of 807 are 3 x 269
Prime factors of 967 are 967
Prime factors of 100 are 2 x 2 x 5 x 5
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 492, 807, 967, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(492, 807) = 132348
GCD(492, 807) = ( 492 x 807 ) / 132348
= 492 / 807
= 492
Step2:
LCM(3, 967) = 2901
GCD(3, 967) = ( 3 x 967 ) / 2901
= 3 / 967
= 3
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 492, 807, 967, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 492, 807, 967, 100
The greatest common divisor of numbers 492, 807, 967, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 492, 807, 967, 100 is 1.
1. What is the GCD of 492, 807, 967, 100?
GCD of given numbers 492, 807, 967, 100 is 1
2. How to calculate the greatest common divisor of 492, 807, 967, 100?
We can find the highest common divisor of 492, 807, 967, 100 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 492, 807, 967, 100 i.e 1.
3. How can I use the GCD of 492, 807, 967, 100Calculator?
Out the numbers 492, 807, 967, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.