Online GCD Calculator is useful to find the GCD of 420, 376, 741, 991 quickly. Get the easiest ways to solve the greatest common divisor of 420, 376, 741, 991 i.e 1 in different methods as follows.
Given Input numbers are 420, 376, 741, 991
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 376 :
The positive integer divisors of 376 that completely divides 376 are.
1, 2, 4, 8, 47, 94, 188, 376
Divisors of 741 :
The positive integer divisors of 741 that completely divides 741 are.
1, 3, 13, 19, 39, 57, 247, 741
Divisors of 991 :
The positive integer divisors of 991 that completely divides 991 are.
1, 991
GCD of numbers is the greatest common divisor
So, the GCD (420, 376, 741, 991) = 1.
Given numbers are 420, 376, 741, 991
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 376 are 2 x 2 x 2 x 47
Prime factors of 741 are 3 x 13 x 19
Prime factors of 991 are 991
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 420, 376, 741, 991
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(420, 376) = 39480
GCD(420, 376) = ( 420 x 376 ) / 39480
= 420 / 376
= 420
Step2:
LCM(4, 741) = 2964
GCD(4, 741) = ( 4 x 741 ) / 2964
= 4 / 741
= 4
Step3:
LCM(1, 991) = 991
GCD(1, 991) = ( 1 x 991 ) / 991
= 1 / 991
= 1
So, Greatest Common Divisor of 420, 376, 741, 991 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 420, 376, 741, 991
The greatest common divisor of numbers 420, 376, 741, 991 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 420, 376, 741, 991 is 1.
1. What is the GCD of 420, 376, 741, 991?
GCD of given numbers 420, 376, 741, 991 is 1
2. How to calculate the greatest common divisor of 420, 376, 741, 991?
We can find the highest common divisor of 420, 376, 741, 991 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, 376, 741, 991 i.e 1.
3. How can I use the GCD of 420, 376, 741, 991Calculator?
Out the numbers 420, 376, 741, 991 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.