Online GCD Calculator is useful to find the GCD of 347, 920, 742, 100 quickly. Get the easiest ways to solve the greatest common divisor of 347, 920, 742, 100 i.e 1 in different methods as follows.
Given Input numbers are 347, 920, 742, 100
In the factoring method, we have to find the divisors of all numbers
Divisors of 347 :
The positive integer divisors of 347 that completely divides 347 are.
1, 347
Divisors of 920 :
The positive integer divisors of 920 that completely divides 920 are.
1, 2, 4, 5, 8, 10, 20, 23, 40, 46, 92, 115, 184, 230, 460, 920
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
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 (347, 920, 742, 100) = 1.
Given numbers are 347, 920, 742, 100
The list of prime factors of all numbers are
Prime factors of 347 are 347
Prime factors of 920 are 2 x 2 x 2 x 5 x 23
Prime factors of 742 are 2 x 7 x 53
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 347, 920, 742, 100
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(347, 920) = 319240
GCD(347, 920) = ( 347 x 920 ) / 319240
= 347 / 920
= 347
Step2:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
Step3:
LCM(1, 100) = 100
GCD(1, 100) = ( 1 x 100 ) / 100
= 1 / 100
= 1
So, Greatest Common Divisor of 347, 920, 742, 100 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 347, 920, 742, 100
The greatest common divisor of numbers 347, 920, 742, 100 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 347, 920, 742, 100 is 1.
1. What is the GCD of 347, 920, 742, 100?
GCD of given numbers 347, 920, 742, 100 is 1
2. How to calculate the greatest common divisor of 347, 920, 742, 100?
We can find the highest common divisor of 347, 920, 742, 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 347, 920, 742, 100 i.e 1.
3. How can I use the GCD of 347, 920, 742, 100Calculator?
Out the numbers 347, 920, 742, 100 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.