Online GCD Calculator is useful to find the GCD of 318, 840, 987, 448 quickly. Get the easiest ways to solve the greatest common divisor of 318, 840, 987, 448 i.e 1 in different methods as follows.
Given Input numbers are 318, 840, 987, 448
In the factoring method, we have to find the divisors of all numbers
Divisors of 318 :
The positive integer divisors of 318 that completely divides 318 are.
1, 2, 3, 6, 53, 106, 159, 318
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
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 448 :
The positive integer divisors of 448 that completely divides 448 are.
1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 64, 112, 224, 448
GCD of numbers is the greatest common divisor
So, the GCD (318, 840, 987, 448) = 1.
Given numbers are 318, 840, 987, 448
The list of prime factors of all numbers are
Prime factors of 318 are 2 x 3 x 53
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 987 are 3 x 7 x 47
Prime factors of 448 are 2 x 2 x 2 x 2 x 2 x 2 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 318, 840, 987, 448
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(318, 840) = 44520
GCD(318, 840) = ( 318 x 840 ) / 44520
= 318 / 840
= 318
Step2:
LCM(6, 987) = 1974
GCD(6, 987) = ( 6 x 987 ) / 1974
= 6 / 987
= 6
Step3:
LCM(3, 448) = 1344
GCD(3, 448) = ( 3 x 448 ) / 1344
= 3 / 448
= 3
So, Greatest Common Divisor of 318, 840, 987, 448 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 318, 840, 987, 448
The greatest common divisor of numbers 318, 840, 987, 448 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 318, 840, 987, 448 is 1.
1. What is the GCD of 318, 840, 987, 448?
GCD of given numbers 318, 840, 987, 448 is 1
2. How to calculate the greatest common divisor of 318, 840, 987, 448?
We can find the highest common divisor of 318, 840, 987, 448 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 318, 840, 987, 448 i.e 1.
3. How can I use the GCD of 318, 840, 987, 448Calculator?
Out the numbers 318, 840, 987, 448 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.