GCD of 70, 40, 64, 96 Calculator

Given Input numbers are 70, 40, 64, 96

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

Divisors of 70 :

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

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

Divisors of 40 :

The positive integer divisors of 40 that completely divides 40 are.

1, 2, 4, 5, 8, 10, 20, 40

Divisors of 64 :

The positive integer divisors of 64 that completely divides 64 are.

1, 2, 4, 8, 16, 32, 64

Divisors of 96 :

The positive integer divisors of 96 that completely divides 96 are.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96

GCD of numbers is the greatest common divisor

So, the GCD (70, 40, 64, 96) = 2.

Given numbers are 70, 40, 64, 96

The list of prime factors of all numbers are

Prime factors of 70 are 2 x 5 x 7

Prime factors of 40 are 2 x 2 x 2 x 5

Prime factors of 64 are 2 x 2 x 2 x 2 x 2 x 2

Prime factors of 96 are 2 x 2 x 2 x 2 x 2 x 3

The highest common occurrence is 2¹

Therefore, GCD of 70, 40, 64, 96 is 2.

Given numbers are 70, 40, 64, 96

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

Apply this formula for all numbers.

Step1:

LCM(70, 40) = 280

GCD(70, 40) = ( 70 x 40 ) / 280

= 70 / 40

= 70

Step2:

LCM(10, 64) = 320

GCD(10, 64) = ( 10 x 64 ) / 320

= 10 / 64

= 10

Step3:

LCM(2, 96) = 96

GCD(2, 96) = ( 2 x 96 ) / 96

= 2 / 96

= 2

So, Greatest Common Divisor of 70, 40, 64, 96 is 2

Here are some samples of GCD of Numbers calculations.

• GCD of 99, 45, 93, 84
• GCD of 88, 53, 68, 82
• GCD of 36, 79, 26, 44
• GCD of 56, 43, 43, 28
• GCD of 95, 94, 68, 25

Given numbers are 70, 40, 64, 96
The greatest common divisor of numbers 70, 40, 64, 96 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 70, 40, 64, 96 is 2.

1. What is the GCD of 70, 40, 64, 96?

GCD of given numbers 70, 40, 64, 96 is 2

2. How to calculate the greatest common divisor of 70, 40, 64, 96?

We can find the highest common divisor of 70, 40, 64, 96 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 70, 40, 64, 96 i.e 2.

3. How can I use the GCD of 70, 40, 64, 96Calculator?

Out the numbers 70, 40, 64, 96 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.