GCD of 340, 435, 70, 960 Calculator

Given Input numbers are 340, 435, 70, 960

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

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

Divisors of 435 :

The positive integer divisors of 435 that completely divides 435 are.

1, 3, 5, 15, 29, 87, 145, 435

Divisors of 70 :

The positive integer divisors of 70 that completely divides 70 are.

1, 2, 5, 7, 10, 14, 35, 70

Divisors of 960 :

The positive integer divisors of 960 that completely divides 960 are.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

GCD of numbers is the greatest common divisor

So, the GCD (340, 435, 70, 960) = 5.

Given numbers are 340, 435, 70, 960

The list of prime factors of all numbers are

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

Prime factors of 435 are 3 x 5 x 29

Prime factors of 70 are 2 x 5 x 7

Prime factors of 960 are 2 x 2 x 2 x 2 x 2 x 2 x 3 x 5

The highest common occurrence is 5¹

Therefore, GCD of 340, 435, 70, 960 is 5.

Given numbers are 340, 435, 70, 960

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

Apply this formula for all numbers.

Step1:

LCM(340, 435) = 29580

GCD(340, 435) = ( 340 x 435 ) / 29580

= 340 / 435

= 340

Step2:

LCM(5, 70) = 70

GCD(5, 70) = ( 5 x 70 ) / 70

= 5 / 70

= 5

Step3:

LCM(5, 960) = 960

GCD(5, 960) = ( 5 x 960 ) / 960

= 5 / 960

= 5

So, Greatest Common Divisor of 340, 435, 70, 960 is 5

Here are some samples of GCD of Numbers calculations.

• GCD of 527, 420, 65, 232
• GCD of 137, 825, 24, 939
• GCD of 211, 875, 34, 458
• GCD of 802, 100, 12, 939
• GCD of 254, 957, 96, 884

Given numbers are 340, 435, 70, 960
The greatest common divisor of numbers 340, 435, 70, 960 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 340, 435, 70, 960 is 5.

1. What is the GCD of 340, 435, 70, 960?

GCD of given numbers 340, 435, 70, 960 is 5

2. How to calculate the greatest common divisor of 340, 435, 70, 960?

We can find the highest common divisor of 340, 435, 70, 960 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 340, 435, 70, 960 i.e 5.

3. How can I use the GCD of 340, 435, 70, 960Calculator?

Out the numbers 340, 435, 70, 960 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.