Online GCD Calculator is useful to find the GCD of 743, 135, 814, 980 quickly. Get the easiest ways to solve the greatest common divisor of 743, 135, 814, 980 i.e 1 in different methods as follows.
Given Input numbers are 743, 135, 814, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 743 :
The positive integer divisors of 743 that completely divides 743 are.
1, 743
Divisors of 135 :
The positive integer divisors of 135 that completely divides 135 are.
1, 3, 5, 9, 15, 27, 45, 135
Divisors of 814 :
The positive integer divisors of 814 that completely divides 814 are.
1, 2, 11, 22, 37, 74, 407, 814
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (743, 135, 814, 980) = 1.
Given numbers are 743, 135, 814, 980
The list of prime factors of all numbers are
Prime factors of 743 are 743
Prime factors of 135 are 3 x 3 x 3 x 5
Prime factors of 814 are 2 x 11 x 37
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 743, 135, 814, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(743, 135) = 100305
GCD(743, 135) = ( 743 x 135 ) / 100305
= 743 / 135
= 743
Step2:
LCM(1, 814) = 814
GCD(1, 814) = ( 1 x 814 ) / 814
= 1 / 814
= 1
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 743, 135, 814, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 743, 135, 814, 980
The greatest common divisor of numbers 743, 135, 814, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 743, 135, 814, 980 is 1.
1. What is the GCD of 743, 135, 814, 980?
GCD of given numbers 743, 135, 814, 980 is 1
2. How to calculate the greatest common divisor of 743, 135, 814, 980?
We can find the highest common divisor of 743, 135, 814, 980 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 743, 135, 814, 980 i.e 1.
3. How can I use the GCD of 743, 135, 814, 980Calculator?
Out the numbers 743, 135, 814, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.