Online GCD Calculator is useful to find the GCD of 138, 700, 676 quickly. Get the easiest ways to solve the greatest common divisor of 138, 700, 676 i.e 2 in different methods as follows.
Given Input numbers are 138, 700, 676
In the factoring method, we have to find the divisors of all numbers
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
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 676 :
The positive integer divisors of 676 that completely divides 676 are.
1, 2, 4, 13, 26, 52, 169, 338, 676
GCD of numbers is the greatest common divisor
So, the GCD (138, 700, 676) = 2.
Given numbers are 138, 700, 676
The list of prime factors of all numbers are
Prime factors of 138 are 2 x 3 x 23
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 676 are 2 x 2 x 13 x 13
The highest common occurrence is 21
Therefore, GCD of 138, 700, 676 is 2.
Given numbers are 138, 700, 676
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(138, 700) = 48300
GCD(138, 700) = ( 138 x 700 ) / 48300
= 138 / 700
= 138
Step2:
LCM(2, 676) = 676
GCD(2, 676) = ( 2 x 676 ) / 676
= 2 / 676
= 2
So, Greatest Common Divisor of 138, 700, 676 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 138, 700, 676
The greatest common divisor of numbers 138, 700, 676 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 138, 700, 676 is 2.
1. What is the GCD of 138, 700, 676?
GCD of given numbers 138, 700, 676 is 2
2. How to calculate the greatest common divisor of 138, 700, 676?
We can find the highest common divisor of 138, 700, 676 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 138, 700, 676 i.e 2.
3. How can I use the GCD of 138, 700, 676Calculator?
Out the numbers 138, 700, 676 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.