GCF of 9767/706, 4913/4488
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9767/706, 4913/4488 i.e 1/1584264 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9767/706, 4913/4488.
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 9767/706,4913/4488?
Given fractions are 9767/706,4913/4488
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 9767/706,4913/4488, numerators are 9767,4913
Denominators are 706,4488
The GCF of 9767,4913 is 1 .
LCM of 706,4488 is 1584264.
The greatest common factor of 9767/706,4913/4488 = [GCF of 9767,4913]/[LCM of 706,4488]= 1/1584264
Therefore, the GCF of 9767/706,4913/4488 is 1/1584264.
To find the highest common factor of 9767,4913, we have to find the factors of both numbers and list the highest common factor.
The factors of 9767 are 1, 9767
The factors of 4913 are 1, 17, 289, 4913
The HCF of 9767,4913 is 1.
Lets's calculate GCF of 9767,4913
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9767,4913 By Matching Biggest Common Factor Method
Now, list down the factors of 9767
:1,9767
Now, list down the factors of 4913
:1,17,289,4913
Greatest Common Factor
We found the factors 9767,4913 . The biggest common factor number is the GCF number.
So the greatest common factor 9767,4913 is 1.
Lets's calculate LCM of 706,4488
| 2 | 706, 4488 |
| 353, 2244 |
∴ So the LCM of the given numbers is 2 x 353 x 2244 = 1584264
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1584264
Therefore, the GCF of Fractions 9767/706,4913/4488 is 1/1584264
Least Common Multiple of 706,4488 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 706,4488 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(706,4488) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(706,4488) x common factors =2 x 1 = 2
LCM(706,4488) = ( 706 × 4488 ) / 2
LCM(706,4488) = 3168528 / 2
LCM(706,4488) = 1584264
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9767/706, 4913/4488
1. What is the HCF of 9767,4913?
The HCF of 9767,4913 is 1
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 9767/706, 4913/4488?
Answer: GCF of Numerators as per given numbers 9767/706, 4913/4488 is
GCF of Numerators i.e. for 9767,4913 is 1
LCM of denominators i.e. for 706,4488 is 1584264.
Thus, GCF of Fractions is 1/1584264.Finally, GCF of Fractions for 9767/706, 4913/4488 is 1/1584264.