Online GCD Calculator is useful to find the GCD of 676, 700, 705, 152 quickly. Get the easiest ways to solve the greatest common divisor of 676, 700, 705, 152 i.e 1 in different methods as follows.
Given Input numbers are 676, 700, 705, 152
In the factoring method, we have to find the divisors of all numbers
Divisors of 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
Divisors of 700 :
The positive integer divisors of 700 that completely divides 700 are.
1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700
Divisors of 705 :
The positive integer divisors of 705 that completely divides 705 are.
1, 3, 5, 15, 47, 141, 235, 705
Divisors of 152 :
The positive integer divisors of 152 that completely divides 152 are.
1, 2, 4, 8, 19, 38, 76, 152
GCD of numbers is the greatest common divisor
So, the GCD (676, 700, 705, 152) = 1.
Given numbers are 676, 700, 705, 152
The list of prime factors of all numbers are
Prime factors of 676 are 2 x 2 x 13 x 13
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 705 are 3 x 5 x 47
Prime factors of 152 are 2 x 2 x 2 x 19
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 676, 700, 705, 152
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(676, 700) = 118300
GCD(676, 700) = ( 676 x 700 ) / 118300
= 676 / 700
= 676
Step2:
LCM(4, 705) = 2820
GCD(4, 705) = ( 4 x 705 ) / 2820
= 4 / 705
= 4
Step3:
LCM(1, 152) = 152
GCD(1, 152) = ( 1 x 152 ) / 152
= 1 / 152
= 1
So, Greatest Common Divisor of 676, 700, 705, 152 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 676, 700, 705, 152
The greatest common divisor of numbers 676, 700, 705, 152 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 676, 700, 705, 152 is 1.
1. What is the GCD of 676, 700, 705, 152?
GCD of given numbers 676, 700, 705, 152 is 1
2. How to calculate the greatest common divisor of 676, 700, 705, 152?
We can find the highest common divisor of 676, 700, 705, 152 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 676, 700, 705, 152 i.e 1.
3. How can I use the GCD of 676, 700, 705, 152Calculator?
Out the numbers 676, 700, 705, 152 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.