GCD of 740, 970, 170, 700 Calculator

Given Input numbers are 740, 970, 170, 700

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

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 970 :

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

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

Divisors of 170 :

The positive integer divisors of 170 that completely divides 170 are.

1, 2, 5, 10, 17, 34, 85, 170

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

GCD of numbers is the greatest common divisor

So, the GCD (740, 970, 170, 700) = 10.

Given numbers are 740, 970, 170, 700

The list of prime factors of all numbers are

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

Prime factors of 970 are 2 x 5 x 97

Prime factors of 170 are 2 x 5 x 17

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

The highest common occurrence is 2¹ x 5¹

Therefore, GCD of 740, 970, 170, 700 is 10.

Given numbers are 740, 970, 170, 700

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

Apply this formula for all numbers.

Step1:

LCM(740, 970) = 71780

GCD(740, 970) = ( 740 x 970 ) / 71780

= 740 / 970

= 740

Step2:

LCM(10, 170) = 170

GCD(10, 170) = ( 10 x 170 ) / 170

= 10 / 170

= 10

Step3:

LCM(10, 700) = 700

GCD(10, 700) = ( 10 x 700 ) / 700

= 10 / 700

= 10

So, Greatest Common Divisor of 740, 970, 170, 700 is 10

Here are some samples of GCD of Numbers calculations.

• GCD of 460, 601, 898, 472
• GCD of 497, 948, 565, 225
• GCD of 879, 580, 292, 182
• GCD of 922, 589, 751, 298
• GCD of 363, 669, 914, 720

Given numbers are 740, 970, 170, 700
The greatest common divisor of numbers 740, 970, 170, 700 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 740, 970, 170, 700 is 10.

1. What is the GCD of 740, 970, 170, 700?

GCD of given numbers 740, 970, 170, 700 is 10

2. How to calculate the greatest common divisor of 740, 970, 170, 700?

We can find the highest common divisor of 740, 970, 170, 700 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 740, 970, 170, 700 i.e 10.

3. How can I use the GCD of 740, 970, 170, 700Calculator?

Out the numbers 740, 970, 170, 700 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.