Online GCD Calculator is useful to find the GCD of 980, 343, 916 quickly. Get the easiest ways to solve the greatest common divisor of 980, 343, 916 i.e 1 in different methods as follows.
Given Input numbers are 980, 343, 916
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 343 :
The positive integer divisors of 343 that completely divides 343 are.
1, 7, 49, 343
Divisors of 916 :
The positive integer divisors of 916 that completely divides 916 are.
1, 2, 4, 229, 458, 916
GCD of numbers is the greatest common divisor
So, the GCD (980, 343, 916) = 1.
Given numbers are 980, 343, 916
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 343 are 7 x 7 x 7
Prime factors of 916 are 2 x 2 x 229
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 980, 343, 916
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 343) = 6860
GCD(980, 343) = ( 980 x 343 ) / 6860
= 980 / 343
= 980
Step2:
LCM(49, 916) = 44884
GCD(49, 916) = ( 49 x 916 ) / 44884
= 49 / 916
= 49
So, Greatest Common Divisor of 980, 343, 916 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 343, 916
The greatest common divisor of numbers 980, 343, 916 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 343, 916 is 1.
1. What is the GCD of 980, 343, 916?
GCD of given numbers 980, 343, 916 is 1
2. How to calculate the greatest common divisor of 980, 343, 916?
We can find the highest common divisor of 980, 343, 916 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 980, 343, 916 i.e 1.
3. How can I use the GCD of 980, 343, 916Calculator?
Out the numbers 980, 343, 916 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.