Online GCD Calculator is useful to find the GCD of 740, 269, 872, 987 quickly. Get the easiest ways to solve the greatest common divisor of 740, 269, 872, 987 i.e 1 in different methods as follows.
Given Input numbers are 740, 269, 872, 987
In the factoring method, we have to find the divisors of all numbers
Divisors of 740 :
The positive integer divisors of 740 that completely divides 740 are.
1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740
Divisors of 269 :
The positive integer divisors of 269 that completely divides 269 are.
1, 269
Divisors of 872 :
The positive integer divisors of 872 that completely divides 872 are.
1, 2, 4, 8, 109, 218, 436, 872
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 (740, 269, 872, 987) = 1.
Given numbers are 740, 269, 872, 987
The list of prime factors of all numbers are
Prime factors of 740 are 2 x 2 x 5 x 37
Prime factors of 269 are 269
Prime factors of 872 are 2 x 2 x 2 x 109
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 740, 269, 872, 987
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(740, 269) = 199060
GCD(740, 269) = ( 740 x 269 ) / 199060
= 740 / 269
= 740
Step2:
LCM(1, 872) = 872
GCD(1, 872) = ( 1 x 872 ) / 872
= 1 / 872
= 1
Step3:
LCM(1, 987) = 987
GCD(1, 987) = ( 1 x 987 ) / 987
= 1 / 987
= 1
So, Greatest Common Divisor of 740, 269, 872, 987 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 740, 269, 872, 987
The greatest common divisor of numbers 740, 269, 872, 987 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 269, 872, 987 is 1.
1. What is the GCD of 740, 269, 872, 987?
GCD of given numbers 740, 269, 872, 987 is 1
2. How to calculate the greatest common divisor of 740, 269, 872, 987?
We can find the highest common divisor of 740, 269, 872, 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 740, 269, 872, 987 i.e 1.
3. How can I use the GCD of 740, 269, 872, 987Calculator?
Out the numbers 740, 269, 872, 987 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.