Online GCD Calculator is useful to find the GCD of 140, 686, 117, 698 quickly. Get the easiest ways to solve the greatest common divisor of 140, 686, 117, 698 i.e 1 in different methods as follows.
Given Input numbers are 140, 686, 117, 698
In the factoring method, we have to find the divisors of all numbers
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 686 :
The positive integer divisors of 686 that completely divides 686 are.
1, 2, 7, 14, 49, 98, 343, 686
Divisors of 117 :
The positive integer divisors of 117 that completely divides 117 are.
1, 3, 9, 13, 39, 117
Divisors of 698 :
The positive integer divisors of 698 that completely divides 698 are.
1, 2, 349, 698
GCD of numbers is the greatest common divisor
So, the GCD (140, 686, 117, 698) = 1.
Given numbers are 140, 686, 117, 698
The list of prime factors of all numbers are
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 686 are 2 x 7 x 7 x 7
Prime factors of 117 are 3 x 3 x 13
Prime factors of 698 are 2 x 349
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 140, 686, 117, 698
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(140, 686) = 6860
GCD(140, 686) = ( 140 x 686 ) / 6860
= 140 / 686
= 140
Step2:
LCM(14, 117) = 1638
GCD(14, 117) = ( 14 x 117 ) / 1638
= 14 / 117
= 14
Step3:
LCM(1, 698) = 698
GCD(1, 698) = ( 1 x 698 ) / 698
= 1 / 698
= 1
So, Greatest Common Divisor of 140, 686, 117, 698 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 140, 686, 117, 698
The greatest common divisor of numbers 140, 686, 117, 698 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 140, 686, 117, 698 is 1.
1. What is the GCD of 140, 686, 117, 698?
GCD of given numbers 140, 686, 117, 698 is 1
2. How to calculate the greatest common divisor of 140, 686, 117, 698?
We can find the highest common divisor of 140, 686, 117, 698 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 140, 686, 117, 698 i.e 1.
3. How can I use the GCD of 140, 686, 117, 698Calculator?
Out the numbers 140, 686, 117, 698 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.