Online GCD Calculator is useful to find the GCD of 674, 898, 156, 702 quickly. Get the easiest ways to solve the greatest common divisor of 674, 898, 156, 702 i.e 2 in different methods as follows.
Given Input numbers are 674, 898, 156, 702
In the factoring method, we have to find the divisors of all numbers
Divisors of 674 :
The positive integer divisors of 674 that completely divides 674 are.
1, 2, 337, 674
Divisors of 898 :
The positive integer divisors of 898 that completely divides 898 are.
1, 2, 449, 898
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 702 :
The positive integer divisors of 702 that completely divides 702 are.
1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 117, 234, 351, 702
GCD of numbers is the greatest common divisor
So, the GCD (674, 898, 156, 702) = 2.
Given numbers are 674, 898, 156, 702
The list of prime factors of all numbers are
Prime factors of 674 are 2 x 337
Prime factors of 898 are 2 x 449
Prime factors of 156 are 2 x 2 x 3 x 13
Prime factors of 702 are 2 x 3 x 3 x 3 x 13
The highest common occurrence is 21
Therefore, GCD of 674, 898, 156, 702 is 2.
Given numbers are 674, 898, 156, 702
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(674, 898) = 302626
GCD(674, 898) = ( 674 x 898 ) / 302626
= 674 / 898
= 674
Step2:
LCM(2, 156) = 156
GCD(2, 156) = ( 2 x 156 ) / 156
= 2 / 156
= 2
Step3:
LCM(2, 702) = 702
GCD(2, 702) = ( 2 x 702 ) / 702
= 2 / 702
= 2
So, Greatest Common Divisor of 674, 898, 156, 702 is 2
Here are some samples of GCD of Numbers calculations.
Given numbers are 674, 898, 156, 702
The greatest common divisor of numbers 674, 898, 156, 702 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 674, 898, 156, 702 is 2.
1. What is the GCD of 674, 898, 156, 702?
GCD of given numbers 674, 898, 156, 702 is 2
2. How to calculate the greatest common divisor of 674, 898, 156, 702?
We can find the highest common divisor of 674, 898, 156, 702 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 674, 898, 156, 702 i.e 2.
3. How can I use the GCD of 674, 898, 156, 702Calculator?
Out the numbers 674, 898, 156, 702 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.