Online GCD Calculator is useful to find the GCD of 716, 971, 354, 315 quickly. Get the easiest ways to solve the greatest common divisor of 716, 971, 354, 315 i.e 1 in different methods as follows.
Given Input numbers are 716, 971, 354, 315
In the factoring method, we have to find the divisors of all numbers
Divisors of 716 :
The positive integer divisors of 716 that completely divides 716 are.
1, 2, 4, 179, 358, 716
Divisors of 971 :
The positive integer divisors of 971 that completely divides 971 are.
1, 971
Divisors of 354 :
The positive integer divisors of 354 that completely divides 354 are.
1, 2, 3, 6, 59, 118, 177, 354
Divisors of 315 :
The positive integer divisors of 315 that completely divides 315 are.
1, 3, 5, 7, 9, 15, 21, 35, 45, 63, 105, 315
GCD of numbers is the greatest common divisor
So, the GCD (716, 971, 354, 315) = 1.
Given numbers are 716, 971, 354, 315
The list of prime factors of all numbers are
Prime factors of 716 are 2 x 2 x 179
Prime factors of 971 are 971
Prime factors of 354 are 2 x 3 x 59
Prime factors of 315 are 3 x 3 x 5 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 716, 971, 354, 315
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(716, 971) = 695236
GCD(716, 971) = ( 716 x 971 ) / 695236
= 716 / 971
= 716
Step2:
LCM(1, 354) = 354
GCD(1, 354) = ( 1 x 354 ) / 354
= 1 / 354
= 1
Step3:
LCM(1, 315) = 315
GCD(1, 315) = ( 1 x 315 ) / 315
= 1 / 315
= 1
So, Greatest Common Divisor of 716, 971, 354, 315 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 716, 971, 354, 315
The greatest common divisor of numbers 716, 971, 354, 315 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 716, 971, 354, 315 is 1.
1. What is the GCD of 716, 971, 354, 315?
GCD of given numbers 716, 971, 354, 315 is 1
2. How to calculate the greatest common divisor of 716, 971, 354, 315?
We can find the highest common divisor of 716, 971, 354, 315 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 716, 971, 354, 315 i.e 1.
3. How can I use the GCD of 716, 971, 354, 315Calculator?
Out the numbers 716, 971, 354, 315 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.