Online GCD Calculator is useful to find the GCD of 100, 764, 532, 413 quickly. Get the easiest ways to solve the greatest common divisor of 100, 764, 532, 413 i.e 1 in different methods as follows.
Given Input numbers are 100, 764, 532, 413
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 764 :
The positive integer divisors of 764 that completely divides 764 are.
1, 2, 4, 191, 382, 764
Divisors of 532 :
The positive integer divisors of 532 that completely divides 532 are.
1, 2, 4, 7, 14, 19, 28, 38, 76, 133, 266, 532
Divisors of 413 :
The positive integer divisors of 413 that completely divides 413 are.
1, 7, 59, 413
GCD of numbers is the greatest common divisor
So, the GCD (100, 764, 532, 413) = 1.
Given numbers are 100, 764, 532, 413
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 764 are 2 x 2 x 191
Prime factors of 532 are 2 x 2 x 7 x 19
Prime factors of 413 are 7 x 59
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 764, 532, 413
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 764) = 19100
GCD(100, 764) = ( 100 x 764 ) / 19100
= 100 / 764
= 100
Step2:
LCM(4, 532) = 532
GCD(4, 532) = ( 4 x 532 ) / 532
= 4 / 532
= 4
Step3:
LCM(4, 413) = 1652
GCD(4, 413) = ( 4 x 413 ) / 1652
= 4 / 413
= 4
So, Greatest Common Divisor of 100, 764, 532, 413 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 764, 532, 413
The greatest common divisor of numbers 100, 764, 532, 413 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 764, 532, 413 is 1.
1. What is the GCD of 100, 764, 532, 413?
GCD of given numbers 100, 764, 532, 413 is 1
2. How to calculate the greatest common divisor of 100, 764, 532, 413?
We can find the highest common divisor of 100, 764, 532, 413 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, 764, 532, 413 i.e 1.
3. How can I use the GCD of 100, 764, 532, 413Calculator?
Out the numbers 100, 764, 532, 413 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.