Online GCD Calculator is useful to find the GCD of 274, 200, 987, 202 quickly. Get the easiest ways to solve the greatest common divisor of 274, 200, 987, 202 i.e 1 in different methods as follows.
Given Input numbers are 274, 200, 987, 202
In the factoring method, we have to find the divisors of all numbers
Divisors of 274 :
The positive integer divisors of 274 that completely divides 274 are.
1, 2, 137, 274
Divisors of 200 :
The positive integer divisors of 200 that completely divides 200 are.
1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 200
Divisors of 987 :
The positive integer divisors of 987 that completely divides 987 are.
1, 3, 7, 21, 47, 141, 329, 987
Divisors of 202 :
The positive integer divisors of 202 that completely divides 202 are.
1, 2, 101, 202
GCD of numbers is the greatest common divisor
So, the GCD (274, 200, 987, 202) = 1.
Given numbers are 274, 200, 987, 202
The list of prime factors of all numbers are
Prime factors of 274 are 2 x 137
Prime factors of 200 are 2 x 2 x 2 x 5 x 5
Prime factors of 987 are 3 x 7 x 47
Prime factors of 202 are 2 x 101
The above numbers do not have any common prime factor. So GCD is 1
Given numbers are 274, 200, 987, 202
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(274, 200) = 27400
GCD(274, 200) = ( 274 x 200 ) / 27400
= 274 / 200
= 274
Step2:
LCM(2, 987) = 1974
GCD(2, 987) = ( 2 x 987 ) / 1974
= 2 / 987
= 2
Step3:
LCM(1, 202) = 202
GCD(1, 202) = ( 1 x 202 ) / 202
= 1 / 202
= 1
So, Greatest Common Divisor of 274, 200, 987, 202 is 1
Here are some samples of GCD of Numbers calculations.
Given numbers are 274, 200, 987, 202
The greatest common divisor of numbers 274, 200, 987, 202 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 274, 200, 987, 202 is 1.
1. What is the GCD of 274, 200, 987, 202?
GCD of given numbers 274, 200, 987, 202 is 1
2. How to calculate the greatest common divisor of 274, 200, 987, 202?
We can find the highest common divisor of 274, 200, 987, 202 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 274, 200, 987, 202 i.e 1.
3. How can I use the GCD of 274, 200, 987, 202Calculator?
Out the numbers 274, 200, 987, 202 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.