Online GCD Calculator is useful to find the GCD of 102, 684, 761, 357 quickly. Get the easiest ways to solve the greatest common divisor of 102, 684, 761, 357 i.e 1 in different methods as follows.
Given Input numbers are 102, 684, 761, 357
In the factoring method, we have to find the divisors of all numbers
Divisors of 102 :
The positive integer divisors of 102 that completely divides 102 are.
1, 2, 3, 6, 17, 34, 51, 102
Divisors of 684 :
The positive integer divisors of 684 that completely divides 684 are.
1, 2, 3, 4, 6, 9, 12, 18, 19, 36, 38, 57, 76, 114, 171, 228, 342, 684
Divisors of 761 :
The positive integer divisors of 761 that completely divides 761 are.
1, 761
Divisors of 357 :
The positive integer divisors of 357 that completely divides 357 are.
1, 3, 7, 17, 21, 51, 119, 357
GCD of numbers is the greatest common divisor
So, the GCD (102, 684, 761, 357) = 1.
Given numbers are 102, 684, 761, 357
The list of prime factors of all numbers are
Prime factors of 102 are 2 x 3 x 17
Prime factors of 684 are 2 x 2 x 3 x 3 x 19
Prime factors of 761 are 761
Prime factors of 357 are 3 x 7 x 17
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 102, 684, 761, 357
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(102, 684) = 11628
GCD(102, 684) = ( 102 x 684 ) / 11628
= 102 / 684
= 102
Step2:
LCM(6, 761) = 4566
GCD(6, 761) = ( 6 x 761 ) / 4566
= 6 / 761
= 6
Step3:
LCM(1, 357) = 357
GCD(1, 357) = ( 1 x 357 ) / 357
= 1 / 357
= 1
So, Greatest Common Divisor of 102, 684, 761, 357 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 102, 684, 761, 357
The greatest common divisor of numbers 102, 684, 761, 357 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 102, 684, 761, 357 is 1.
1. What is the GCD of 102, 684, 761, 357?
GCD of given numbers 102, 684, 761, 357 is 1
2. How to calculate the greatest common divisor of 102, 684, 761, 357?
We can find the highest common divisor of 102, 684, 761, 357 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 102, 684, 761, 357 i.e 1.
3. How can I use the GCD of 102, 684, 761, 357Calculator?
Out the numbers 102, 684, 761, 357 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.