Online GCD Calculator is useful to find the GCD of 748, 700, 118, 126 quickly. Get the easiest ways to solve the greatest common divisor of 748, 700, 118, 126 i.e 2 in different methods as follows.
Given Input numbers are 748, 700, 118, 126
In the factoring method, we have to find the divisors of all numbers
Divisors of 748 :
The positive integer divisors of 748 that completely divides 748 are.
1, 2, 4, 11, 17, 22, 34, 44, 68, 187, 374, 748
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 118 :
The positive integer divisors of 118 that completely divides 118 are.
1, 2, 59, 118
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
GCD of numbers is the greatest common divisor
So, the GCD (748, 700, 118, 126) = 2.
Given numbers are 748, 700, 118, 126
The list of prime factors of all numbers are
Prime factors of 748 are 2 x 2 x 11 x 17
Prime factors of 700 are 2 x 2 x 5 x 5 x 7
Prime factors of 118 are 2 x 59
Prime factors of 126 are 2 x 3 x 3 x 7
The highest common occurrence is 21
Therefore, GCD of 748, 700, 118, 126 is 2.
Given numbers are 748, 700, 118, 126
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(748, 700) = 130900
GCD(748, 700) = ( 748 x 700 ) / 130900
= 748 / 700
= 748
Step2:
LCM(4, 118) = 236
GCD(4, 118) = ( 4 x 118 ) / 236
= 4 / 118
= 4
Step3:
LCM(2, 126) = 126
GCD(2, 126) = ( 2 x 126 ) / 126
= 2 / 126
= 2
So, Greatest Common Divisor of 748, 700, 118, 126 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 748, 700, 118, 126
The greatest common divisor of numbers 748, 700, 118, 126 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 748, 700, 118, 126 is 2.
1. What is the GCD of 748, 700, 118, 126?
GCD of given numbers 748, 700, 118, 126 is 2
2. How to calculate the greatest common divisor of 748, 700, 118, 126?
We can find the highest common divisor of 748, 700, 118, 126 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 748, 700, 118, 126 i.e 2.
3. How can I use the GCD of 748, 700, 118, 126Calculator?
Out the numbers 748, 700, 118, 126 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.