GCF of 6123/101, 9609/7079
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6123/101, 9609/7079 i.e 3/714979 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6123/101, 9609/7079.
Enter two or more fractions separated by "commas"
Ex: 2/3, 5/7 or 3/5, 5/9, 7/3
What is the GCF of 6123/101,9609/7079?
Given fractions are 6123/101,9609/7079
To find the GCF of fractions, we have to find the GCF of numerator numbers and LCM of denominator numbers. Its formula is given by
GCF of Fraction = Greatest Common Factor of Numerator/Least Common Multiple of Denominators
In the fractions 6123/101,9609/7079, numerators are 6123,9609
Denominators are 101,7079
The GCF of 6123,9609 is 3 .
LCM of 101,7079 is 714979.
The greatest common factor of 6123/101,9609/7079 = [GCF of 6123,9609]/[LCM of 101,7079]= 3/714979
Therefore, the GCF of 6123/101,9609/7079 is 3/714979.
To find the highest common factor of 6123,9609, we have to find the factors of both numbers and list the highest common factor.
The factors of 6123 are 1, 3, 13, 39, 157, 471, 2041, 6123
The factors of 9609 are 1, 3, 3203, 9609
The HCF of 6123,9609 is 3.
Lets's calculate GCF of 6123,9609
| 3 | 6123, 9609 |
| 2041, 3203 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 6123,9609 By Matching Biggest Common Factor Method
Now, list down the factors of 6123
:1,3,13,39,157,471,2041,6123
Now, list down the factors of 9609
:1,3,3203,9609
Greatest Common Factor
We found the factors 6123,9609 . The biggest common factor number is the GCF number.
So the greatest common factor 6123,9609 is 3.
Lets's calculate LCM of 101,7079
Given numbers has no common factors except 1. So, there LCM is their product i.e 714979
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/714979
Therefore, the GCF of Fractions 6123/101,9609/7079 is 3/714979
Least Common Multiple of 101,7079 with GCF Formula
The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).
We need to calculate greatest common factor of 101,7079 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(101,7079) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(101,7079) x common factors =1 x 1 = 1
LCM(101,7079) = ( 101 × 7079 ) / 1
LCM(101,7079) = 714979 / 1
LCM(101,7079) = 714979
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 6123/101, 9609/7079
1. What is the HCF of 6123,9609?
The HCF of 6123,9609 is 3
2. What is the GCF of a fraction?
The GCF of a fraction is defined as the greatest fraction that divides exactly into 2 or more fractions.
3. How to find GCF in Fractions?
Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.
4. What is the GCF of Fractions for 6123/101, 9609/7079?
Answer: GCF of Numerators as per given numbers 6123/101, 9609/7079 is
GCF of Numerators i.e. for 6123,9609 is 3
LCM of denominators i.e. for 101,7079 is 714979.
Thus, GCF of Fractions is 3/714979.Finally, GCF of Fractions for 6123/101, 9609/7079 is 3/714979.