Online GCD Calculator is useful to find the GCD of 156, 380, 100, 980 quickly. Get the easiest ways to solve the greatest common divisor of 156, 380, 100, 980 i.e 4 in different methods as follows.
Given Input numbers are 156, 380, 100, 980
In the factoring method, we have to find the divisors of all numbers
Divisors of 156 :
The positive integer divisors of 156 that completely divides 156 are.
1, 2, 3, 4, 6, 12, 13, 26, 39, 52, 78, 156
Divisors of 380 :
The positive integer divisors of 380 that completely divides 380 are.
1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380
Divisors of 100 :
The positive integer divisors of 100 that completely divides 100 are.
1, 2, 4, 5, 10, 20, 25, 50, 100
Divisors of 980 :
The positive integer divisors of 980 that completely divides 980 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 49, 70, 98, 140, 196, 245, 490, 980
GCD of numbers is the greatest common divisor
So, the GCD (156, 380, 100, 980) = 4.
Given numbers are 156, 380, 100, 980
The list of prime factors of all numbers are
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 380 are 2 x 2 x 5 x 19
Prime factors of 100 are 2 x 2 x 5 x 5
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
The highest common occurrence is 22
Therefore, GCD of 156, 380, 100, 980 is 4.
Given numbers are 156, 380, 100, 980
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(156, 380) = 14820
GCD(156, 380) = ( 156 x 380 ) / 14820
= 156 / 380
= 156
Step2:
LCM(4, 100) = 100
GCD(4, 100) = ( 4 x 100 ) / 100
= 4 / 100
= 4
Step3:
LCM(4, 980) = 980
GCD(4, 980) = ( 4 x 980 ) / 980
= 4 / 980
= 4
So, Greatest Common Divisor of 156, 380, 100, 980 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 156, 380, 100, 980
The greatest common divisor of numbers 156, 380, 100, 980 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 156, 380, 100, 980 is 4.
1. What is the GCD of 156, 380, 100, 980?
GCD of given numbers 156, 380, 100, 980 is 4
2. How to calculate the greatest common divisor of 156, 380, 100, 980?
We can find the highest common divisor of 156, 380, 100, 980 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 156, 380, 100, 980 i.e 4.
3. How can I use the GCD of 156, 380, 100, 980Calculator?
Out the numbers 156, 380, 100, 980 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.