GCD of 940, 700, 74, 270 Calculator

Given Input numbers are 940, 700, 74, 270

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

Divisors of 940 :

The positive integer divisors of 940 that completely divides 940 are.

1, 2, 4, 5, 10, 20, 47, 94, 188, 235, 470, 940

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 74 :

The positive integer divisors of 74 that completely divides 74 are.

1, 2, 37, 74

Divisors of 270 :

The positive integer divisors of 270 that completely divides 270 are.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

GCD of numbers is the greatest common divisor

So, the GCD (940, 700, 74, 270) = 2.

Given numbers are 940, 700, 74, 270

The list of prime factors of all numbers are

Prime factors of 940 are 2 x 2 x 5 x 47

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

Prime factors of 74 are 2 x 37

Prime factors of 270 are 2 x 3 x 3 x 3 x 5

The highest common occurrence is 2¹

Therefore, GCD of 940, 700, 74, 270 is 2.

Given numbers are 940, 700, 74, 270

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

Apply this formula for all numbers.

Step1:

LCM(940, 700) = 32900

GCD(940, 700) = ( 940 x 700 ) / 32900

= 940 / 700

= 940

Step2:

LCM(20, 74) = 740

GCD(20, 74) = ( 20 x 74 ) / 740

= 20 / 74

= 20

Step3:

LCM(2, 270) = 270

GCD(2, 270) = ( 2 x 270 ) / 270

= 2 / 270

= 2

So, Greatest Common Divisor of 940, 700, 74, 270 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 615, 520, 62, 764
• GCD of 298, 563, 16, 754
• GCD of 593, 783, 86, 100
• GCD of 139, 454, 54, 536
• GCD of 201, 593, 85, 574

Given numbers are 940, 700, 74, 270
The greatest common divisor of numbers 940, 700, 74, 270 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 940, 700, 74, 270 is 2.

1. What is the GCD of 940, 700, 74, 270?

GCD of given numbers 940, 700, 74, 270 is 2

2. How to calculate the greatest common divisor of 940, 700, 74, 270?

We can find the highest common divisor of 940, 700, 74, 270 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 940, 700, 74, 270 i.e 2.

3. How can I use the GCD of 940, 700, 74, 270Calculator?

Out the numbers 940, 700, 74, 270 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.