Online GCD Calculator is useful to find the GCD of 196, 946, 972, 677 quickly. Get the easiest ways to solve the greatest common divisor of 196, 946, 972, 677 i.e 1 in different methods as follows.
Given Input numbers are 196, 946, 972, 677
In the factoring method, we have to find the divisors of all numbers
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 946 :
The positive integer divisors of 946 that completely divides 946 are.
1, 2, 11, 22, 43, 86, 473, 946
Divisors of 972 :
The positive integer divisors of 972 that completely divides 972 are.
1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 162, 243, 324, 486, 972
Divisors of 677 :
The positive integer divisors of 677 that completely divides 677 are.
1, 677
GCD of numbers is the greatest common divisor
So, the GCD (196, 946, 972, 677) = 1.
Given numbers are 196, 946, 972, 677
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 946 are 2 x 11 x 43
Prime factors of 972 are 2 x 2 x 3 x 3 x 3 x 3 x 3
Prime factors of 677 are 677
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 946, 972, 677
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 946) = 92708
GCD(196, 946) = ( 196 x 946 ) / 92708
= 196 / 946
= 196
Step2:
LCM(2, 972) = 972
GCD(2, 972) = ( 2 x 972 ) / 972
= 2 / 972
= 2
Step3:
LCM(2, 677) = 1354
GCD(2, 677) = ( 2 x 677 ) / 1354
= 2 / 677
= 2
So, Greatest Common Divisor of 196, 946, 972, 677 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 946, 972, 677
The greatest common divisor of numbers 196, 946, 972, 677 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 946, 972, 677 is 1.
1. What is the GCD of 196, 946, 972, 677?
GCD of given numbers 196, 946, 972, 677 is 1
2. How to calculate the greatest common divisor of 196, 946, 972, 677?
We can find the highest common divisor of 196, 946, 972, 677 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 196, 946, 972, 677 i.e 1.
3. How can I use the GCD of 196, 946, 972, 677Calculator?
Out the numbers 196, 946, 972, 677 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.