Online GCD Calculator is useful to find the GCD of 295, 715, 420 quickly. Get the easiest ways to solve the greatest common divisor of 295, 715, 420 i.e 5 in different methods as follows.
Given Input numbers are 295, 715, 420
In the factoring method, we have to find the divisors of all numbers
Divisors of 295 :
The positive integer divisors of 295 that completely divides 295 are.
1, 5, 59, 295
Divisors of 715 :
The positive integer divisors of 715 that completely divides 715 are.
1, 5, 11, 13, 55, 65, 143, 715
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
GCD of numbers is the greatest common divisor
So, the GCD (295, 715, 420) = 5.
Given numbers are 295, 715, 420
The list of prime factors of all numbers are
Prime factors of 295 are 5 x 59
Prime factors of 715 are 5 x 11 x 13
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
The highest common occurrence is 51
Therefore, GCD of 295, 715, 420 is 5.
Given numbers are 295, 715, 420
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(295, 715) = 42185
GCD(295, 715) = ( 295 x 715 ) / 42185
= 295 / 715
= 295
Step2:
LCM(5, 420) = 420
GCD(5, 420) = ( 5 x 420 ) / 420
= 5 / 420
= 5
So, Greatest Common Divisor of 295, 715, 420 is 5
Here are some samples of GCD of Numbers calculations.
Given numbers are 295, 715, 420
The greatest common divisor of numbers 295, 715, 420 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 295, 715, 420 is 5.
1. What is the GCD of 295, 715, 420?
GCD of given numbers 295, 715, 420 is 5
2. How to calculate the greatest common divisor of 295, 715, 420?
We can find the highest common divisor of 295, 715, 420 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 295, 715, 420 i.e 5.
3. How can I use the GCD of 295, 715, 420Calculator?
Out the numbers 295, 715, 420 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.