Online GCD Calculator is useful to find the GCD of 196, 552, 35, 138 quickly. Get the easiest ways to solve the greatest common divisor of 196, 552, 35, 138 i.e 1 in different methods as follows.
Given Input numbers are 196, 552, 35, 138
In the factoring method, we have to find the divisors of all numbers
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 552 :
The positive integer divisors of 552 that completely divides 552 are.
1, 2, 3, 4, 6, 8, 12, 23, 24, 46, 69, 92, 138, 184, 276, 552
Divisors of 35 :
The positive integer divisors of 35 that completely divides 35 are.
1, 5, 7, 35
Divisors of 138 :
The positive integer divisors of 138 that completely divides 138 are.
1, 2, 3, 6, 23, 46, 69, 138
GCD of numbers is the greatest common divisor
So, the GCD (196, 552, 35, 138) = 1.
Given numbers are 196, 552, 35, 138
The list of prime factors of all numbers are
Prime factors of 196 are 2 x 2 x 7 x 7
Prime factors of 552 are 2 x 2 x 2 x 3 x 23
Prime factors of 35 are 5 x 7
Prime factors of 138 are 2 x 3 x 23
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 196, 552, 35, 138
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(196, 552) = 27048
GCD(196, 552) = ( 196 x 552 ) / 27048
= 196 / 552
= 196
Step2:
LCM(4, 35) = 140
GCD(4, 35) = ( 4 x 35 ) / 140
= 4 / 35
= 4
Step3:
LCM(1, 138) = 138
GCD(1, 138) = ( 1 x 138 ) / 138
= 1 / 138
= 1
So, Greatest Common Divisor of 196, 552, 35, 138 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 196, 552, 35, 138
The greatest common divisor of numbers 196, 552, 35, 138 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 196, 552, 35, 138 is 1.
1. What is the GCD of 196, 552, 35, 138?
GCD of given numbers 196, 552, 35, 138 is 1
2. How to calculate the greatest common divisor of 196, 552, 35, 138?
We can find the highest common divisor of 196, 552, 35, 138 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 196, 552, 35, 138 i.e 1.
3. How can I use the GCD of 196, 552, 35, 138Calculator?
Out the numbers 196, 552, 35, 138 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.