Online GCD Calculator is useful to find the GCD of 982, 836, 761, 749 quickly. Get the easiest ways to solve the greatest common divisor of 982, 836, 761, 749 i.e 1 in different methods as follows.
Given Input numbers are 982, 836, 761, 749
In the factoring method, we have to find the divisors of all numbers
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 836 :
The positive integer divisors of 836 that completely divides 836 are.
1, 2, 4, 11, 19, 22, 38, 44, 76, 209, 418, 836
Divisors of 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
GCD of numbers is the greatest common divisor
So, the GCD (982, 836, 761, 749) = 1.
Given numbers are 982, 836, 761, 749
The list of prime factors of all numbers are
Prime factors of 982 are 2 x 491
Prime factors of 836 are 2 x 2 x 11 x 19
Prime factors of 761 are 761
Prime factors of 749 are 7 x 107
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 982, 836, 761, 749
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(982, 836) = 410476
GCD(982, 836) = ( 982 x 836 ) / 410476
= 982 / 836
= 982
Step2:
LCM(2, 761) = 1522
GCD(2, 761) = ( 2 x 761 ) / 1522
= 2 / 761
= 2
Step3:
LCM(1, 749) = 749
GCD(1, 749) = ( 1 x 749 ) / 749
= 1 / 749
= 1
So, Greatest Common Divisor of 982, 836, 761, 749 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 982, 836, 761, 749
The greatest common divisor of numbers 982, 836, 761, 749 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 982, 836, 761, 749 is 1.
1. What is the GCD of 982, 836, 761, 749?
GCD of given numbers 982, 836, 761, 749 is 1
2. How to calculate the greatest common divisor of 982, 836, 761, 749?
We can find the highest common divisor of 982, 836, 761, 749 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 982, 836, 761, 749 i.e 1.
3. How can I use the GCD of 982, 836, 761, 749Calculator?
Out the numbers 982, 836, 761, 749 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.