Online GCD Calculator is useful to find the GCD of 147, 126, 707, 777 quickly. Get the easiest ways to solve the greatest common divisor of 147, 126, 707, 777 i.e 7 in different methods as follows.
Given Input numbers are 147, 126, 707, 777
In the factoring method, we have to find the divisors of all numbers
Divisors of 147 :
The positive integer divisors of 147 that completely divides 147 are.
1, 3, 7, 21, 49, 147
Divisors of 126 :
The positive integer divisors of 126 that completely divides 126 are.
1, 2, 3, 6, 7, 9, 14, 18, 21, 42, 63, 126
Divisors of 707 :
The positive integer divisors of 707 that completely divides 707 are.
1, 7, 101, 707
Divisors of 777 :
The positive integer divisors of 777 that completely divides 777 are.
1, 3, 7, 21, 37, 111, 259, 777
GCD of numbers is the greatest common divisor
So, the GCD (147, 126, 707, 777) = 7.
Given numbers are 147, 126, 707, 777
The list of prime factors of all numbers are
Prime factors of 147 are 3 x 7 x 7
Prime factors of 126 are 2 x 3 x 3 x 7
Prime factors of 707 are 7 x 101
Prime factors of 777 are 3 x 7 x 37
The highest common occurrence is 71
Therefore, GCD of 147, 126, 707, 777 is 7.
Given numbers are 147, 126, 707, 777
GCD of 2 numbers formula is GCD(a, b) = ( a x b) / LCM(a, b)
Apply this formula for all numbers.
Step1:
LCM(147, 126) = 882
GCD(147, 126) = ( 147 x 126 ) / 882
= 147 / 126
= 147
Step2:
LCM(21, 707) = 2121
GCD(21, 707) = ( 21 x 707 ) / 2121
= 21 / 707
= 21
Step3:
LCM(7, 777) = 777
GCD(7, 777) = ( 7 x 777 ) / 777
= 7 / 777
= 7
So, Greatest Common Divisor of 147, 126, 707, 777 is 7
Here are some samples of GCD of Numbers calculations.
Given numbers are 147, 126, 707, 777
The greatest common divisor of numbers 147, 126, 707, 777 can be found in various methods such as the LCM formula, factoring, and prime factorization. The GCD of numbers 147, 126, 707, 777 is 7.
1. What is the GCD of 147, 126, 707, 777?
GCD of given numbers 147, 126, 707, 777 is 7
2. How to calculate the greatest common divisor of 147, 126, 707, 777?
We can find the highest common divisor of 147, 126, 707, 777 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 147, 126, 707, 777 i.e 7.
3. How can I use the GCD of 147, 126, 707, 777Calculator?
Out the numbers 147, 126, 707, 777 into the GCD calculator and hit the calculate button to get the greatest common divisor as result.