Online GCD Calculator is useful to find the GCD of 989, 714, 262, 742 quickly. Get the easiest ways to solve the greatest common divisor of 989, 714, 262, 742 i.e 1 in different methods as follows.
Given Input numbers are 989, 714, 262, 742
In the factoring method, we have to find the divisors of all numbers
Divisors of 989 :
The positive integer divisors of 989 that completely divides 989 are.
1, 23, 43, 989
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 262 :
The positive integer divisors of 262 that completely divides 262 are.
1, 2, 131, 262
Divisors of 742 :
The positive integer divisors of 742 that completely divides 742 are.
1, 2, 7, 14, 53, 106, 371, 742
GCD of numbers is the greatest common divisor
So, the GCD (989, 714, 262, 742) = 1.
Given numbers are 989, 714, 262, 742
The list of prime factors of all numbers are
Prime factors of 989 are 23 x 43
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 262 are 2 x 131
Prime factors of 742 are 2 x 7 x 53
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 989, 714, 262, 742
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(989, 714) = 706146
GCD(989, 714) = ( 989 x 714 ) / 706146
= 989 / 714
= 989
Step2:
LCM(1, 262) = 262
GCD(1, 262) = ( 1 x 262 ) / 262
= 1 / 262
= 1
Step3:
LCM(1, 742) = 742
GCD(1, 742) = ( 1 x 742 ) / 742
= 1 / 742
= 1
So, Greatest Common Divisor of 989, 714, 262, 742 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 989, 714, 262, 742
The greatest common divisor of numbers 989, 714, 262, 742 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 989, 714, 262, 742 is 1.
1. What is the GCD of 989, 714, 262, 742?
GCD of given numbers 989, 714, 262, 742 is 1
2. How to calculate the greatest common divisor of 989, 714, 262, 742?
We can find the highest common divisor of 989, 714, 262, 742 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 989, 714, 262, 742 i.e 1.
3. How can I use the GCD of 989, 714, 262, 742Calculator?
Out the numbers 989, 714, 262, 742 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.