Online GCD Calculator is useful to find the GCD of 987, 472, 840, 784 quickly. Get the easiest ways to solve the greatest common divisor of 987, 472, 840, 784 i.e 1 in different methods as follows.
Given Input numbers are 987, 472, 840, 784
In the factoring method, we have to find the divisors of all numbers
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 472 :
The positive integer divisors of 472 that completely divides 472 are.
1, 2, 4, 8, 59, 118, 236, 472
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 784 :
The positive integer divisors of 784 that completely divides 784 are.
1, 2, 4, 7, 8, 14, 16, 28, 49, 56, 98, 112, 196, 392, 784
GCD of numbers is the greatest common divisor
So, the GCD (987, 472, 840, 784) = 1.
Given numbers are 987, 472, 840, 784
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 472 are 2 x 2 x 2 x 59
Prime factors of 840 are 2 x 2 x 2 x 3 x 5 x 7
Prime factors of 784 are 2 x 2 x 2 x 2 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 472, 840, 784
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 472) = 465864
GCD(987, 472) = ( 987 x 472 ) / 465864
= 987 / 472
= 987
Step2:
LCM(1, 840) = 840
GCD(1, 840) = ( 1 x 840 ) / 840
= 1 / 840
= 1
Step3:
LCM(1, 784) = 784
GCD(1, 784) = ( 1 x 784 ) / 784
= 1 / 784
= 1
So, Greatest Common Divisor of 987, 472, 840, 784 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 472, 840, 784
The greatest common divisor of numbers 987, 472, 840, 784 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 472, 840, 784 is 1.
1. What is the GCD of 987, 472, 840, 784?
GCD of given numbers 987, 472, 840, 784 is 1
2. How to calculate the greatest common divisor of 987, 472, 840, 784?
We can find the highest common divisor of 987, 472, 840, 784 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 987, 472, 840, 784 i.e 1.
3. How can I use the GCD of 987, 472, 840, 784Calculator?
Out the numbers 987, 472, 840, 784 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.