GCD of 745, 925, 340 Calculator

Given Input numbers are 745, 925, 340

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

Divisors of 745 :

The positive integer divisors of 745 that completely divides 745 are.

1, 5, 149, 745

Divisors of 925 :

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

1, 5, 25, 37, 185, 925

Divisors of 340 :

The positive integer divisors of 340 that completely divides 340 are.

1, 2, 4, 5, 10, 17, 20, 34, 68, 85, 170, 340

GCD of numbers is the greatest common divisor

So, the GCD (745, 925, 340) = 5.

Given numbers are 745, 925, 340

The list of prime factors of all numbers are

Prime factors of 745 are 5 x 149

Prime factors of 925 are 5 x 5 x 37

Prime factors of 340 are 2 x 2 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 745, 925, 340 is 5.

Given numbers are 745, 925, 340

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

Apply this formula for all numbers.

Step1:

LCM(745, 925) = 137825

GCD(745, 925) = ( 745 x 925 ) / 137825

= 745 / 925

= 745

Step2:

LCM(5, 340) = 340

GCD(5, 340) = ( 5 x 340 ) / 340

= 5 / 340

= 5

So, Greatest Common Divisor of 745, 925, 340 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 990, 899, 110
• GCD of 429, 913, 923
• GCD of 977, 785, 130
• GCD of 164, 373, 456
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Given numbers are 745, 925, 340
The greatest common divisor of numbers 745, 925, 340 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 745, 925, 340 is 5.

1. What is the GCD of 745, 925, 340?

GCD of given numbers 745, 925, 340 is 5

2. How to calculate the greatest common divisor of 745, 925, 340?

We can find the highest common divisor of 745, 925, 340 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 745, 925, 340 i.e 5.

3. How can I use the GCD of 745, 925, 340Calculator?

Out the numbers 745, 925, 340 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.