GCD of 764, 268, 140 Calculator

Given Input numbers are 764, 268, 140

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

Divisors of 764 :

The positive integer divisors of 764 that completely divides 764 are.

1, 2, 4, 191, 382, 764

Divisors of 268 :

The positive integer divisors of 268 that completely divides 268 are.

1, 2, 4, 67, 134, 268

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

GCD of numbers is the greatest common divisor

So, the GCD (764, 268, 140) = 4.

Given numbers are 764, 268, 140

The list of prime factors of all numbers are

Prime factors of 764 are 2 x 2 x 191

Prime factors of 268 are 2 x 2 x 67

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

The highest common occurrence is 2²

Therefore, GCD of 764, 268, 140 is 4.

Given numbers are 764, 268, 140

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

Apply this formula for all numbers.

Step1:

LCM(764, 268) = 51188

GCD(764, 268) = ( 764 x 268 ) / 51188

= 764 / 268

= 764

Step2:

LCM(4, 140) = 140

GCD(4, 140) = ( 4 x 140 ) / 140

= 4 / 140

= 4

So, Greatest Common Divisor of 764, 268, 140 is 4

Here are some samples of GCD of Numbers calculations.

• GCD of 422, 761, 972
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• GCD of 193, 331, 173
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Given numbers are 764, 268, 140
The greatest common divisor of numbers 764, 268, 140 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 764, 268, 140 is 4.

1. What is the GCD of 764, 268, 140?

GCD of given numbers 764, 268, 140 is 4

2. How to calculate the greatest common divisor of 764, 268, 140?

We can find the highest common divisor of 764, 268, 140 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 764, 268, 140 i.e 4.

3. How can I use the GCD of 764, 268, 140Calculator?

Out the numbers 764, 268, 140 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.