GCD of 975, 925, 950, 380 Calculator

Given Input numbers are 975, 925, 950, 380

In the factoring method, we have to find the divisors of all numbers

Divisors of 975 :

The positive integer divisors of 975 that completely divides 975 are.

1, 3, 5, 13, 15, 25, 39, 65, 75, 195, 325, 975

Divisors of 925 :

The positive integer divisors of 925 that completely divides 925 are.

1, 5, 25, 37, 185, 925

Divisors of 950 :

The positive integer divisors of 950 that completely divides 950 are.

1, 2, 5, 10, 19, 25, 38, 50, 95, 190, 475, 950

Divisors of 380 :

The positive integer divisors of 380 that completely divides 380 are.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 190, 380

GCD of numbers is the greatest common divisor

So, the GCD (975, 925, 950, 380) = 5.

Given numbers are 975, 925, 950, 380

The list of prime factors of all numbers are

Prime factors of 975 are 3 x 5 x 5 x 13

Prime factors of 925 are 5 x 5 x 37

Prime factors of 950 are 2 x 5 x 5 x 19

Prime factors of 380 are 2 x 2 x 5 x 19

The highest common occurrence is 5¹

Therefore, GCD of 975, 925, 950, 380 is 5.

Given numbers are 975, 925, 950, 380

GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)

Apply this formula for all numbers.

Step1:

LCM(975, 925) = 36075

GCD(975, 925) = ( 975 x 925 ) / 36075

= 975 / 925

= 975

Step2:

LCM(25, 950) = 950

GCD(25, 950) = ( 25 x 950 ) / 950

= 25 / 950

= 25

Step3:

LCM(25, 380) = 1900

GCD(25, 380) = ( 25 x 380 ) / 1900

= 25 / 380

= 25

So, Greatest Common Divisor of 975, 925, 950, 380 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 162, 931, 549, 736
• GCD of 782, 125, 672, 200
• GCD of 300, 230, 307, 657
• GCD of 147, 650, 468, 910
• GCD of 688, 267, 499, 985

Given numbers are 975, 925, 950, 380
The greatest common divisor of numbers 975, 925, 950, 380 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 975, 925, 950, 380 is 5.

1. What is the GCD of 975, 925, 950, 380?

GCD of given numbers 975, 925, 950, 380 is 5

2. How to calculate the greatest common divisor of 975, 925, 950, 380?

We can find the highest common divisor of 975, 925, 950, 380 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 975, 925, 950, 380 i.e 5.

3. How can I use the GCD of 975, 925, 950, 380Calculator?

Out the numbers 975, 925, 950, 380 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.