GCD of 175, 147, 140, 770 Calculator

Given Input numbers are 175, 147, 140, 770

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

Divisors of 175 :

The positive integer divisors of 175 that completely divides 175 are.

1, 5, 7, 25, 35, 175

Divisors of 147 :

The positive integer divisors of 147 that completely divides 147 are.

1, 3, 7, 21, 49, 147

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 770 :

The positive integer divisors of 770 that completely divides 770 are.

1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770

GCD of numbers is the greatest common divisor

So, the GCD (175, 147, 140, 770) = 7.

Given numbers are 175, 147, 140, 770

The list of prime factors of all numbers are

Prime factors of 175 are 5 x 5 x 7

Prime factors of 147 are 3 x 7 x 7

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

Prime factors of 770 are 2 x 5 x 7 x 11

The highest common occurrence is 7¹

Therefore, GCD of 175, 147, 140, 770 is 7.

Given numbers are 175, 147, 140, 770

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

Apply this formula for all numbers.

Step1:

LCM(175, 147) = 3675

GCD(175, 147) = ( 175 x 147 ) / 3675

= 175 / 147

= 175

Step2:

LCM(7, 140) = 140

GCD(7, 140) = ( 7 x 140 ) / 140

= 7 / 140

= 7

Step3:

LCM(7, 770) = 770

GCD(7, 770) = ( 7 x 770 ) / 770

= 7 / 770

= 7

So, Greatest Common Divisor of 175, 147, 140, 770 is 7

Here are some samples of GCD of Numbers calculations.

• GCD of 380, 333, 936, 672
• GCD of 214, 629, 226, 960
• GCD of 431, 650, 394, 611
• GCD of 822, 264, 602, 413
• GCD of 772, 840, 452, 984

Given numbers are 175, 147, 140, 770
The greatest common divisor of numbers 175, 147, 140, 770 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 175, 147, 140, 770 is 7.

1. What is the GCD of 175, 147, 140, 770?

GCD of given numbers 175, 147, 140, 770 is 7

2. How to calculate the greatest common divisor of 175, 147, 140, 770?

We can find the highest common divisor of 175, 147, 140, 770 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 175, 147, 140, 770 i.e 7.

3. How can I use the GCD of 175, 147, 140, 770Calculator?

Out the numbers 175, 147, 140, 770 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.