Online GCD Calculator is useful to find the GCD of 753, 701, 420, 114 quickly. Get the easiest ways to solve the greatest common divisor of 753, 701, 420, 114 i.e 1 in different methods as follows.
Given Input numbers are 753, 701, 420, 114
In the factoring method, we have to find the divisors of all numbers
Divisors of 753 :
The positive integer divisors of 753 that completely divides 753 are.
1, 3, 251, 753
Divisors of 701 :
The positive integer divisors of 701 that completely divides 701 are.
1, 701
Divisors of 420 :
The positive integer divisors of 420 that completely divides 420 are.
1, 2, 3, 4, 5, 6, 7, 10, 12, 14, 15, 20, 21, 28, 30, 35, 42, 60, 70, 84, 105, 140, 210, 420
Divisors of 114 :
The positive integer divisors of 114 that completely divides 114 are.
1, 2, 3, 6, 19, 38, 57, 114
GCD of numbers is the greatest common divisor
So, the GCD (753, 701, 420, 114) = 1.
Given numbers are 753, 701, 420, 114
The list of prime factors of all numbers are
Prime factors of 753 are 3 x 251
Prime factors of 701 are 701
Prime factors of 420 are 2 x 2 x 3 x 5 x 7
Prime factors of 114 are 2 x 3 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 753, 701, 420, 114
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(753, 701) = 527853
GCD(753, 701) = ( 753 x 701 ) / 527853
= 753 / 701
= 753
Step2:
LCM(1, 420) = 420
GCD(1, 420) = ( 1 x 420 ) / 420
= 1 / 420
= 1
Step3:
LCM(1, 114) = 114
GCD(1, 114) = ( 1 x 114 ) / 114
= 1 / 114
= 1
So, Greatest Common Divisor of 753, 701, 420, 114 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 753, 701, 420, 114
The greatest common divisor of numbers 753, 701, 420, 114 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 753, 701, 420, 114 is 1.
1. What is the GCD of 753, 701, 420, 114?
GCD of given numbers 753, 701, 420, 114 is 1
2. How to calculate the greatest common divisor of 753, 701, 420, 114?
We can find the highest common divisor of 753, 701, 420, 114 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 753, 701, 420, 114 i.e 1.
3. How can I use the GCD of 753, 701, 420, 114Calculator?
Out the numbers 753, 701, 420, 114 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.