Online GCD Calculator is useful to find the GCD of 714, 969, 142, 618 quickly. Get the easiest ways to solve the greatest common divisor of 714, 969, 142, 618 i.e 1 in different methods as follows.
Given Input numbers are 714, 969, 142, 618
In the factoring method, we have to find the divisors of all numbers
Divisors of 714 :
The positive integer divisors of 714 that completely divides 714 are.
1, 2, 3, 6, 7, 14, 17, 21, 34, 42, 51, 102, 119, 238, 357, 714
Divisors of 969 :
The positive integer divisors of 969 that completely divides 969 are.
1, 3, 17, 19, 51, 57, 323, 969
Divisors of 142 :
The positive integer divisors of 142 that completely divides 142 are.
1, 2, 71, 142
Divisors of 618 :
The positive integer divisors of 618 that completely divides 618 are.
1, 2, 3, 6, 103, 206, 309, 618
GCD of numbers is the greatest common divisor
So, the GCD (714, 969, 142, 618) = 1.
Given numbers are 714, 969, 142, 618
The list of prime factors of all numbers are
Prime factors of 714 are 2 x 3 x 7 x 17
Prime factors of 969 are 3 x 17 x 19
Prime factors of 142 are 2 x 71
Prime factors of 618 are 2 x 3 x 103
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 714, 969, 142, 618
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(714, 969) = 13566
GCD(714, 969) = ( 714 x 969 ) / 13566
= 714 / 969
= 714
Step2:
LCM(51, 142) = 7242
GCD(51, 142) = ( 51 x 142 ) / 7242
= 51 / 142
= 51
Step3:
LCM(1, 618) = 618
GCD(1, 618) = ( 1 x 618 ) / 618
= 1 / 618
= 1
So, Greatest Common Divisor of 714, 969, 142, 618 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 714, 969, 142, 618
The greatest common divisor of numbers 714, 969, 142, 618 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 714, 969, 142, 618 is 1.
1. What is the GCD of 714, 969, 142, 618?
GCD of given numbers 714, 969, 142, 618 is 1
2. How to calculate the greatest common divisor of 714, 969, 142, 618?
We can find the highest common divisor of 714, 969, 142, 618 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 714, 969, 142, 618 i.e 1.
3. How can I use the GCD of 714, 969, 142, 618Calculator?
Out the numbers 714, 969, 142, 618 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.