GCD of 325, 740, 700, 240 Calculator

Given Input numbers are 325, 740, 700, 240

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

Divisors of 325 :

The positive integer divisors of 325 that completely divides 325 are.

1, 5, 13, 25, 65, 325

Divisors of 740 :

The positive integer divisors of 740 that completely divides 740 are.

1, 2, 4, 5, 10, 20, 37, 74, 148, 185, 370, 740

Divisors of 700 :

The positive integer divisors of 700 that completely divides 700 are.

1, 2, 4, 5, 7, 10, 14, 20, 25, 28, 35, 50, 70, 100, 140, 175, 350, 700

Divisors of 240 :

The positive integer divisors of 240 that completely divides 240 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 40, 48, 60, 80, 120, 240

GCD of numbers is the greatest common divisor

So, the GCD (325, 740, 700, 240) = 5.

Given numbers are 325, 740, 700, 240

The list of prime factors of all numbers are

Prime factors of 325 are 5 x 5 x 13

Prime factors of 740 are 2 x 2 x 5 x 37

Prime factors of 700 are 2 x 2 x 5 x 5 x 7

Prime factors of 240 are 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 325, 740, 700, 240 is 5.

Given numbers are 325, 740, 700, 240

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

Apply this formula for all numbers.

Step1:

LCM(325, 740) = 48100

GCD(325, 740) = ( 325 x 740 ) / 48100

= 325 / 740

= 325

Step2:

LCM(5, 700) = 700

GCD(5, 700) = ( 5 x 700 ) / 700

= 5 / 700

= 5

Step3:

LCM(5, 240) = 240

GCD(5, 240) = ( 5 x 240 ) / 240

= 5 / 240

= 5

So, Greatest Common Divisor of 325, 740, 700, 240 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 945, 447, 720, 362
• GCD of 163, 205, 908, 355
• GCD of 197, 781, 272, 684
• GCD of 333, 505, 981, 894
• GCD of 874, 134, 725, 807

Given numbers are 325, 740, 700, 240
The greatest common divisor of numbers 325, 740, 700, 240 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 325, 740, 700, 240 is 5.

1. What is the GCD of 325, 740, 700, 240?

GCD of given numbers 325, 740, 700, 240 is 5

2. How to calculate the greatest common divisor of 325, 740, 700, 240?

We can find the highest common divisor of 325, 740, 700, 240 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 325, 740, 700, 240 i.e 5.

3. How can I use the GCD of 325, 740, 700, 240Calculator?

Out the numbers 325, 740, 700, 240 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.