Online GCD Calculator is useful to find the GCD of 133, 148, 100, 693 quickly. Get the easiest ways to solve the greatest common divisor of 133, 148, 100, 693 i.e 1 in different methods as follows.
Given Input numbers are 133, 148, 100, 693
In the factoring method, we have to find the divisors of all numbers
Divisors of 133 :
The positive integer divisors of 133 that completely divides 133 are.
1, 7, 19, 133
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
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 693 :
The positive integer divisors of 693 that completely divides 693 are.
1, 3, 7, 9, 11, 21, 33, 63, 77, 99, 231, 693
GCD of numbers is the greatest common divisor
So, the GCD (133, 148, 100, 693) = 1.
Given numbers are 133, 148, 100, 693
The list of prime factors of all numbers are
Prime factors of 133 are 7 x 19
Prime factors of 148 are 2 x 2 x 37
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 693 are 3 x 3 x 7 x 11
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 133, 148, 100, 693
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(133, 148) = 19684
GCD(133, 148) = ( 133 x 148 ) / 19684
= 133 / 148
= 133
Step2:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
Step3:
LCM(1, 693) = 693
GCD(1, 693) = ( 1 x 693 ) / 693
= 1 / 693
= 1
So, Greatest Common Divisor of 133, 148, 100, 693 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 133, 148, 100, 693
The greatest common divisor of numbers 133, 148, 100, 693 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 133, 148, 100, 693 is 1.
1. What is the GCD of 133, 148, 100, 693?
GCD of given numbers 133, 148, 100, 693 is 1
2. How to calculate the greatest common divisor of 133, 148, 100, 693?
We can find the highest common divisor of 133, 148, 100, 693 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 133, 148, 100, 693 i.e 1.
3. How can I use the GCD of 133, 148, 100, 693Calculator?
Out the numbers 133, 148, 100, 693 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.