Online GCD Calculator is useful to find the GCD of 420, 771, 275, 987 quickly. Get the easiest ways to solve the greatest common divisor of 420, 771, 275, 987 i.e 1 in different methods as follows.
Given Input numbers are 420, 771, 275, 987
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 771 :
The positive integer divisors of 771 that completely divides 771 are.
1, 3, 257, 771
Divisors of 275 :
The positive integer divisors of 275 that completely divides 275 are.
1, 5, 11, 25, 55, 275
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
GCD of numbers is the greatest common divisor
So, the GCD (420, 771, 275, 987) = 1.
Given numbers are 420, 771, 275, 987
The list of prime factors of all numbers are
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 771 are 3 x 257
Prime factors of 275 are 5 x 5 x 11
Prime factors of 987 are 3 x 7 x 47
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 771, 275, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 771) = 107940
GCD(420, 771) = ( 420 x 771 ) / 107940
= 420 / 771
= 420
Step2:
LCM(3, 275) = 825
GCD(3, 275) = ( 3 x 275 ) / 825
= 3 / 275
= 3
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 420, 771, 275, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 771, 275, 987
The greatest common divisor of numbers 420, 771, 275, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 771, 275, 987 is 1.
1. What is the GCD of 420, 771, 275, 987?
GCD of given numbers 420, 771, 275, 987 is 1
2. How to calculate the greatest common divisor of 420, 771, 275, 987?
We can find the highest common divisor of 420, 771, 275, 987 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 420, 771, 275, 987 i.e 1.
3. How can I use the GCD of 420, 771, 275, 987Calculator?
Out the numbers 420, 771, 275, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.