Online GCD Calculator is useful to find the GCD of 100, 535, 690, 842 quickly. Get the easiest ways to solve the greatest common divisor of 100, 535, 690, 842 i.e 1 in different methods as follows.
Given Input numbers are 100, 535, 690, 842
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 535 :
The positive integer divisors of 535 that completely divides 535 are.
1, 5, 107, 535
Divisors of 690 :
The positive integer divisors of 690 that completely divides 690 are.
1, 2, 3, 5, 6, 10, 15, 23, 30, 46, 69, 115, 138, 230, 345, 690
Divisors of 842 :
The positive integer divisors of 842 that completely divides 842 are.
1, 2, 421, 842
GCD of numbers is the greatest common divisor
So, the GCD (100, 535, 690, 842) = 1.
Given numbers are 100, 535, 690, 842
The list of prime factors of all numbers are
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 535 are 5 x 107
Prime factors of 690 are 2 x 3 x 5 x 23
Prime factors of 842 are 2 x 421
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 100, 535, 690, 842
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(100, 535) = 10700
GCD(100, 535) = ( 100 x 535 ) / 10700
= 100 / 535
= 100
Step2:
LCM(5, 690) = 690
GCD(5, 690) = ( 5 x 690 ) / 690
= 5 / 690
= 5
Step3:
LCM(5, 842) = 4210
GCD(5, 842) = ( 5 x 842 ) / 4210
= 5 / 842
= 5
So, Greatest Common Divisor of 100, 535, 690, 842 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 100, 535, 690, 842
The greatest common divisor of numbers 100, 535, 690, 842 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 100, 535, 690, 842 is 1.
1. What is the GCD of 100, 535, 690, 842?
GCD of given numbers 100, 535, 690, 842 is 1
2. How to calculate the greatest common divisor of 100, 535, 690, 842?
We can find the highest common divisor of 100, 535, 690, 842 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, 535, 690, 842 i.e 1.
3. How can I use the GCD of 100, 535, 690, 842Calculator?
Out the numbers 100, 535, 690, 842 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.