Online GCD Calculator is useful to find the GCD of 126, 278, 148, 900 quickly. Get the easiest ways to solve the greatest common divisor of 126, 278, 148, 900 i.e 2 in different methods as follows.
Given Input numbers are 126, 278, 148, 900
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 278 :
The positive integer divisors of 278 that completely divides 278 are.
1, 2, 139, 278
Divisors of 148 :
The positive integer divisors of 148 that completely divides 148 are.
1, 2, 4, 37, 74, 148
Divisors of 900 :
The positive integer divisors of 900 that completely divides 900 are.
1, 2, 3, 4, 5, 6, 9, 10, 12, 15, 18, 20, 25, 30, 36, 45, 50, 60, 75, 90, 100, 150, 180, 225, 300, 450, 900
GCD of numbers is the greatest common divisor
So, the GCD (126, 278, 148, 900) = 2.
Given numbers are 126, 278, 148, 900
The list of prime factors of all numbers are
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 278 are 2 x 139
Prime factors of 148 are 2 x 2 x 37
Prime factors of 900 are 2 x 2 x 3 x 3 x 5 x 5
The highest common occurrence is 21
Therefore, GCD of 126, 278, 148, 900 is 2.
Given numbers are 126, 278, 148, 900
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(126, 278) = 17514
GCD(126, 278) = ( 126 x 278 ) / 17514
= 126 / 278
= 126
Step2:
LCM(2, 148) = 148
GCD(2, 148) = ( 2 x 148 ) / 148
= 2 / 148
= 2
Step3:
LCM(2, 900) = 900
GCD(2, 900) = ( 2 x 900 ) / 900
= 2 / 900
= 2
So, Greatest Common Divisor of 126, 278, 148, 900 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 126, 278, 148, 900
The greatest common divisor of numbers 126, 278, 148, 900 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 126, 278, 148, 900 is 2.
1. What is the GCD of 126, 278, 148, 900?
GCD of given numbers 126, 278, 148, 900 is 2
2. How to calculate the greatest common divisor of 126, 278, 148, 900?
We can find the highest common divisor of 126, 278, 148, 900 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 126, 278, 148, 900 i.e 2.
3. How can I use the GCD of 126, 278, 148, 900Calculator?
Out the numbers 126, 278, 148, 900 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.