Online GCD Calculator is useful to find the GCD of 501, 298, 345, 840 quickly. Get the easiest ways to solve the greatest common divisor of 501, 298, 345, 840 i.e 1 in different methods as follows.
Given Input numbers are 501, 298, 345, 840
In the factoring method, we have to find the divisors of all numbers
Divisors of 501 :
The positive integer divisors of 501 that completely divides 501 are.
1, 3, 167, 501
Divisors of 298 :
The positive integer divisors of 298 that completely divides 298 are.
1, 2, 149, 298
Divisors of 345 :
The positive integer divisors of 345 that completely divides 345 are.
1, 3, 5, 15, 23, 69, 115, 345
Divisors of 840 :
The positive integer divisors of 840 that completely divides 840 are.
1, 2, 3, 4, 5, 6, 7, 8, 10, 12, 14, 15, 20, 21, 24, 28, 30, 35, 40, 42, 56, 60, 70, 84, 105, 120, 140, 168, 210, 280, 420, 840
GCD of numbers is the greatest common divisor
So, the GCD (501, 298, 345, 840) = 1.
Given numbers are 501, 298, 345, 840
The list of prime factors of all numbers are
Prime factors of 501 are 3 x 167
Prime factors of 298 are 2 x 149
Prime factors of 345 are 3 x 5 x 23
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 501, 298, 345, 840
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(501, 298) = 149298
GCD(501, 298) = ( 501 x 298 ) / 149298
= 501 / 298
= 501
Step2:
LCM(1, 345) = 345
GCD(1, 345) = ( 1 x 345 ) / 345
= 1 / 345
= 1
Step3:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
So, Greatest Common Divisor of 501, 298, 345, 840 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 501, 298, 345, 840
The greatest common divisor of numbers 501, 298, 345, 840 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 501, 298, 345, 840 is 1.
1. What is the GCD of 501, 298, 345, 840?
GCD of given numbers 501, 298, 345, 840 is 1
2. How to calculate the greatest common divisor of 501, 298, 345, 840?
We can find the highest common divisor of 501, 298, 345, 840 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 501, 298, 345, 840 i.e 1.
3. How can I use the GCD of 501, 298, 345, 840Calculator?
Out the numbers 501, 298, 345, 840 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.