Online GCD Calculator is useful to find the GCD of 321, 749, 426, 980 quickly. Get the easiest ways to solve the greatest common divisor of 321, 749, 426, 980 i.e 1 in different methods as follows.
Given Input numbers are 321, 749, 426, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 321 :
The positive integer divisors of 321 that completely divides 321 are.
1, 3, 107, 321
Divisors of 749 :
The positive integer divisors of 749 that completely divides 749 are.
1, 7, 107, 749
Divisors of 426 :
The positive integer divisors of 426 that completely divides 426 are.
1, 2, 3, 6, 71, 142, 213, 426
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 (321, 749, 426, 980) = 1.
Given numbers are 321, 749, 426, 980
The list of prime factors of all numbers are
Prime factors of 321 are 3 x 107
Prime factors of 749 are 7 x 107
Prime factors of 426 are 2 x 3 x 71
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 321, 749, 426, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(321, 749) = 2247
GCD(321, 749) = ( 321 x 749 ) / 2247
= 321 / 749
= 321
Step2:
LCM(107, 426) = 45582
GCD(107, 426) = ( 107 x 426 ) / 45582
= 107 / 426
= 107
Step3:
LCM(1, 980) = 980
GCD(1, 980) = ( 1 x 980 ) / 980
= 1 / 980
= 1
So, Greatest Common Divisor of 321, 749, 426, 980 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 321, 749, 426, 980
The greatest common divisor of numbers 321, 749, 426, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 321, 749, 426, 980 is 1.
1. What is the GCD of 321, 749, 426, 980?
GCD of given numbers 321, 749, 426, 980 is 1
2. How to calculate the greatest common divisor of 321, 749, 426, 980?
We can find the highest common divisor of 321, 749, 426, 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 321, 749, 426, 980 i.e 1.
3. How can I use the GCD of 321, 749, 426, 980Calculator?
Out the numbers 321, 749, 426, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.