Online GCD Calculator is useful to find the GCD of 682, 982, 749, 148 quickly. Get the easiest ways to solve the greatest common divisor of 682, 982, 749, 148 i.e 1 in different methods as follows.
Given Input numbers are 682, 982, 749, 148
In the factoring method, we have to find the divisors of all numbers
Divisors of 682 :
The positive integer divisors of 682 that completely divides 682 are.
1, 2, 11, 22, 31, 62, 341, 682
Divisors of 982 :
The positive integer divisors of 982 that completely divides 982 are.
1, 2, 491, 982
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
GCD of numbers is the greatest common divisor
So, the GCD (682, 982, 749, 148) = 1.
Given numbers are 682, 982, 749, 148
The list of prime factors of all numbers are
Prime factors of 682 are 2 x 11 x 31
Prime factors of 982 are 2 x 491
Prime factors of 749 are 7 x 107
Prime factors of 148 are 2 x 2 x 37
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 682, 982, 749, 148
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(682, 982) = 334862
GCD(682, 982) = ( 682 x 982 ) / 334862
= 682 / 982
= 682
Step2:
LCM(2, 749) = 1498
GCD(2, 749) = ( 2 x 749 ) / 1498
= 2 / 749
= 2
Step3:
LCM(1, 148) = 148
GCD(1, 148) = ( 1 x 148 ) / 148
= 1 / 148
= 1
So, Greatest Common Divisor of 682, 982, 749, 148 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 682, 982, 749, 148
The greatest common divisor of numbers 682, 982, 749, 148 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 682, 982, 749, 148 is 1.
1. What is the GCD of 682, 982, 749, 148?
GCD of given numbers 682, 982, 749, 148 is 1
2. How to calculate the greatest common divisor of 682, 982, 749, 148?
We can find the highest common divisor of 682, 982, 749, 148 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 682, 982, 749, 148 i.e 1.
3. How can I use the GCD of 682, 982, 749, 148Calculator?
Out the numbers 682, 982, 749, 148 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.