Online GCD Calculator is useful to find the GCD of 987, 765, 340, 745 quickly. Get the easiest ways to solve the greatest common divisor of 987, 765, 340, 745 i.e 1 in different methods as follows.
Given Input numbers are 987, 765, 340, 745
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 765 :
The positive integer divisors of 765 that completely divides 765 are.
1, 3, 5, 9, 15, 17, 45, 51, 85, 153, 255, 765
Divisors of 340 :
The positive integer divisors of 340 that completely divides 340 are.
1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340
Divisors of 745 :
The positive integer divisors of 745 that completely divides 745 are.
1, 5, 149, 745
GCD of numbers is the greatest common divisor
So, the GCD (987, 765, 340, 745) = 1.
Given numbers are 987, 765, 340, 745
The list of prime factors of all numbers are
Prime factors of 987 are 3 x 7 x 47
Prime factors of 765 are 3 x 3 x 5 x 17
Prime factors of 340 are 2 x 2 x 5 x 17
Prime factors of 745 are 5 x 149
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 987, 765, 340, 745
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(987, 765) = 251685
GCD(987, 765) = ( 987 x 765 ) / 251685
= 987 / 765
= 987
Step2:
LCM(3, 340) = 1020
GCD(3, 340) = ( 3 x 340 ) / 1020
= 3 / 340
= 3
Step3:
LCM(1, 745) = 745
GCD(1, 745) = ( 1 x 745 ) / 745
= 1 / 745
= 1
So, Greatest Common Divisor of 987, 765, 340, 745 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 987, 765, 340, 745
The greatest common divisor of numbers 987, 765, 340, 745 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 987, 765, 340, 745 is 1.
1. What is the GCD of 987, 765, 340, 745?
GCD of given numbers 987, 765, 340, 745 is 1
2. How to calculate the greatest common divisor of 987, 765, 340, 745?
We can find the highest common divisor of 987, 765, 340, 745 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, 765, 340, 745 i.e 1.
3. How can I use the GCD of 987, 765, 340, 745Calculator?
Out the numbers 987, 765, 340, 745 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.