Online GCD Calculator is useful to find the GCD of 119, 924, 140, 938 quickly. Get the easiest ways to solve the greatest common divisor of 119, 924, 140, 938 i.e 7 in different methods as follows.
Given Input numbers are 119, 924, 140, 938
In the factoring method, we have to find the divisors of all numbers
Divisors of 119 :
The positive integer divisors of 119 that completely divides 119 are.
1, 7, 17, 119
Divisors of 924 :
The positive integer divisors of 924 that completely divides 924 are.
1, 2, 3, 4, 6, 7, 11, 12, 14, 21, 22, 28, 33, 42, 44, 66, 77, 84, 132, 154, 231, 308, 462, 924
Divisors of 140 :
The positive integer divisors of 140 that completely divides 140 are.
1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140
Divisors of 938 :
The positive integer divisors of 938 that completely divides 938 are.
1, 2, 7, 14, 67, 134, 469, 938
GCD of numbers is the greatest common divisor
So, the GCD (119, 924, 140, 938) = 7.
Given numbers are 119, 924, 140, 938
The list of prime factors of all numbers are
Prime factors of 119 are 7 x 17
Prime factors of 924 are 2 x 2 x 3 x 7 x 11
Prime factors of 140 are 2 x 2 x 5 x 7
Prime factors of 938 are 2 x 7 x 67
The highest common occurrence is 71
Therefore, GCD of 119, 924, 140, 938 is 7.
Given numbers are 119, 924, 140, 938
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(119, 924) = 15708
GCD(119, 924) = ( 119 x 924 ) / 15708
= 119 / 924
= 119
Step2:
LCM(7, 140) = 140
GCD(7, 140) = ( 7 x 140 ) / 140
= 7 / 140
= 7
Step3:
LCM(7, 938) = 938
GCD(7, 938) = ( 7 x 938 ) / 938
= 7 / 938
= 7
So, Greatest Common Divisor of 119, 924, 140, 938 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 119, 924, 140, 938
The greatest common divisor of numbers 119, 924, 140, 938 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 119, 924, 140, 938 is 7.
1. What is the GCD of 119, 924, 140, 938?
GCD of given numbers 119, 924, 140, 938 is 7
2. How to calculate the greatest common divisor of 119, 924, 140, 938?
We can find the highest common divisor of 119, 924, 140, 938 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 119, 924, 140, 938 i.e 7.
3. How can I use the GCD of 119, 924, 140, 938Calculator?
Out the numbers 119, 924, 140, 938 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.