Online GCD Calculator is useful to find the GCD of 242, 974, 307, 882 quickly. Get the easiest ways to solve the greatest common divisor of 242, 974, 307, 882 i.e 1 in different methods as follows.
Given Input numbers are 242, 974, 307, 882
In the factoring method, we have to find the divisors of all numbers
Divisors of 242 :
The positive integer divisors of 242 that completely divides 242 are.
1, 2, 11, 22, 121, 242
Divisors of 974 :
The positive integer divisors of 974 that completely divides 974 are.
1, 2, 487, 974
Divisors of 307 :
The positive integer divisors of 307 that completely divides 307 are.
1, 307
Divisors of 882 :
The positive integer divisors of 882 that completely divides 882 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 49, 63, 98, 126, 147, 294, 441, 882
GCD of numbers is the greatest common divisor
So, the GCD (242, 974, 307, 882) = 1.
Given numbers are 242, 974, 307, 882
The list of prime factors of all numbers are
Prime factors of 242 are 2 x 11 x 11
Prime factors of 974 are 2 x 487
Prime factors of 307 are 307
Prime factors of 882 are 2 x 3 x 3 x 7 x 7
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 242, 974, 307, 882
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(242, 974) = 117854
GCD(242, 974) = ( 242 x 974 ) / 117854
= 242 / 974
= 242
Step2:
LCM(2, 307) = 614
GCD(2, 307) = ( 2 x 307 ) / 614
= 2 / 307
= 2
Step3:
LCM(1, 882) = 882
GCD(1, 882) = ( 1 x 882 ) / 882
= 1 / 882
= 1
So, Greatest Common Divisor of 242, 974, 307, 882 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 242, 974, 307, 882
The greatest common divisor of numbers 242, 974, 307, 882 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 242, 974, 307, 882 is 1.
1. What is the GCD of 242, 974, 307, 882?
GCD of given numbers 242, 974, 307, 882 is 1
2. How to calculate the greatest common divisor of 242, 974, 307, 882?
We can find the highest common divisor of 242, 974, 307, 882 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 242, 974, 307, 882 i.e 1.
3. How can I use the GCD of 242, 974, 307, 882Calculator?
Out the numbers 242, 974, 307, 882 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.