Online GCD Calculator is useful to find the GCD of 175, 147, 140, 770 quickly. Get the easiest ways to solve the greatest common divisor of 175, 147, 140, 770 i.e 7 in different methods as follows.
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.
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.