Online GCD Calculator is useful to find the GCD of 980, 296, 196, 356 quickly. Get the easiest ways to solve the greatest common divisor of 980, 296, 196, 356 i.e 4 in different methods as follows.
Given Input numbers are 980, 296, 196, 356
In the factoring method, we have to find the divisors of all numbers
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
Divisors of 296 :
The positive integer divisors of 296 that completely divides 296 are.
1, 2, 4, 8, 37, 74, 148, 296
Divisors of 196 :
The positive integer divisors of 196 that completely divides 196 are.
1, 2, 4, 7, 14, 28, 49, 98, 196
Divisors of 356 :
The positive integer divisors of 356 that completely divides 356 are.
1, 2, 4, 89, 178, 356
GCD of numbers is the greatest common divisor
So, the GCD (980, 296, 196, 356) = 4.
Given numbers are 980, 296, 196, 356
The list of prime factors of all numbers are
Prime factors of 980 are 2 x 2 x 5 x 7 x 7
Prime factors of 296 are 2 x 2 x 2 x 37
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 356 are 2 x 2 x 89
The highest common occurrence is 22
Therefore, GCD of 980, 296, 196, 356 is 4.
Given numbers are 980, 296, 196, 356
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(980, 296) = 72520
GCD(980, 296) = ( 980 x 296 ) / 72520
= 980 / 296
= 980
Step2:
LCM(4, 196) = 196
GCD(4, 196) = ( 4 x 196 ) / 196
= 4 / 196
= 4
Step3:
LCM(4, 356) = 356
GCD(4, 356) = ( 4 x 356 ) / 356
= 4 / 356
= 4
So, Greatest Common Divisor of 980, 296, 196, 356 is 4
Here are some samples of GCD of Numbers calculations.
Given numbers are 980, 296, 196, 356
The greatest common divisor of numbers 980, 296, 196, 356 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 980, 296, 196, 356 is 4.
1. What is the GCD of 980, 296, 196, 356?
GCD of given numbers 980, 296, 196, 356 is 4
2. How to calculate the greatest common divisor of 980, 296, 196, 356?
We can find the highest common divisor of 980, 296, 196, 356 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 980, 296, 196, 356 i.e 4.
3. How can I use the GCD of 980, 296, 196, 356Calculator?
Out the numbers 980, 296, 196, 356 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.