GCD of 970, 140, 305, 850 Calculator

Given Input numbers are 970, 140, 305, 850

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

Divisors of 970 :

The positive integer divisors of 970 that completely divides 970 are.

1, 2, 5, 10, 97, 194, 485, 970

Divisors of 140 :

The positive integer divisors of 140 that completely divides 140 are.

1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 70, 140

Divisors of 305 :

The positive integer divisors of 305 that completely divides 305 are.

1, 5, 61, 305

Divisors of 850 :

The positive integer divisors of 850 that completely divides 850 are.

1, 2, 5, 10, 17, 25, 34, 50, 85, 170, 425, 850

GCD of numbers is the greatest common divisor

So, the GCD (970, 140, 305, 850) = 5.

Given numbers are 970, 140, 305, 850

The list of prime factors of all numbers are

Prime factors of 970 are 2 x 5 x 97

Prime factors of 140 are 2 x 2 x 5 x 7

Prime factors of 305 are 5 x 61

Prime factors of 850 are 2 x 5 x 5 x 17

The highest common occurrence is 5¹

Therefore, GCD of 970, 140, 305, 850 is 5.

Given numbers are 970, 140, 305, 850

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

Apply this formula for all numbers.

Step1:

LCM(970, 140) = 13580

GCD(970, 140) = ( 970 x 140 ) / 13580

= 970 / 140

= 970

Step2:

LCM(10, 305) = 610

GCD(10, 305) = ( 10 x 305 ) / 610

= 10 / 305

= 10

Step3:

LCM(5, 850) = 850

GCD(5, 850) = ( 5 x 850 ) / 850

= 5 / 850

= 5

So, Greatest Common Divisor of 970, 140, 305, 850 is 5

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Given numbers are 970, 140, 305, 850
The greatest common divisor of numbers 970, 140, 305, 850 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 970, 140, 305, 850 is 5.

1. What is the GCD of 970, 140, 305, 850?

GCD of given numbers 970, 140, 305, 850 is 5

2. How to calculate the greatest common divisor of 970, 140, 305, 850?

We can find the highest common divisor of 970, 140, 305, 850 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 970, 140, 305, 850 i.e 5.

3. How can I use the GCD of 970, 140, 305, 850Calculator?

Out the numbers 970, 140, 305, 850 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.