Online GCD Calculator is useful to find the GCD of 174, 704, 987, 702 quickly. Get the easiest ways to solve the greatest common divisor of 174, 704, 987, 702 i.e 1 in different methods as follows.
Given Input numbers are 174, 704, 987, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 174 :
The positive integer divisors of 174 that completely divides 174 are.
1, 2, 3, 6, 29, 58, 87, 174
Divisors of 704 :
The positive integer divisors of 704 that completely divides 704 are.
1, 2, 4, 8, 11, 16, 22, 32, 44, 64, 88, 176, 352, 704
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (174, 704, 987, 702) = 1.
Given numbers are 174, 704, 987, 702
The list of prime factors of all numbers are
Prime factors of 174 are 2 x 3 x 29
Prime factors of 704 are 2 x 2 x 2 x 2 x 2 x 2 x 11
Prime factors of 987 are 3 x 7 x 47
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 174, 704, 987, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(174, 704) = 61248
GCD(174, 704) = ( 174 x 704 ) / 61248
= 174 / 704
= 174
Step2:
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
= 2 / 987
= 2
Step3:
LCM(1, 702) = 702
GCD(1, 702) = ( 1 x 702 ) / 702
= 1 / 702
= 1
So, Greatest Common Divisor of 174, 704, 987, 702 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 174, 704, 987, 702
The greatest common divisor of numbers 174, 704, 987, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 174, 704, 987, 702 is 1.
1. What is the GCD of 174, 704, 987, 702?
GCD of given numbers 174, 704, 987, 702 is 1
2. How to calculate the greatest common divisor of 174, 704, 987, 702?
We can find the highest common divisor of 174, 704, 987, 702 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 174, 704, 987, 702 i.e 1.
3. How can I use the GCD of 174, 704, 987, 702Calculator?
Out the numbers 174, 704, 987, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.