GCF of 7764/909, 5736/7007
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7764/909, 5736/7007 i.e 12/6369363 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7764/909, 5736/7007.
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 7764/909,5736/7007?
Given fractions are 7764/909,5736/7007
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 7764/909,5736/7007, numerators are 7764,5736
Denominators are 909,7007
The GCF of 7764,5736 is 12 .
LCM of 909,7007 is 6369363.
The greatest common factor of 7764/909,5736/7007 = [GCF of 7764,5736]/[LCM of 909,7007]= 12/6369363
Therefore, the GCF of 7764/909,5736/7007 is 12/6369363.
To find the highest common factor of 7764,5736, we have to find the factors of both numbers and list the highest common factor.
The factors of 7764 are 1, 2, 3, 4, 6, 12, 647, 1294, 1941, 2588, 3882, 7764
The factors of 5736 are 1, 2, 3, 4, 6, 8, 12, 24, 239, 478, 717, 956, 1434, 1912, 2868, 5736
The HCF of 7764,5736 is 12.
Lets's calculate GCF of 7764,5736
| 2 | 7764, 5736 |
| 2 | 3882, 2868 |
| 3 | 1941, 1434 |
| 647, 478 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7764,5736 By Matching Biggest Common Factor Method
Now, list down the factors of 7764
:1,2,3,4,6,12,647,1294,1941,2588,3882,7764
Now, list down the factors of 5736
:1,2,3,4,6,8,12,24,239,478,717,956,1434,1912,2868,5736
Greatest Common Factor
We found the factors 7764,5736 . The biggest common factor number is the GCF number.
So the greatest common factor 7764,5736 is 12.
Lets's calculate LCM of 909,7007
Given numbers has no common factors except 1. So, there LCM is their product i.e 6369363
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/6369363
Therefore, the GCF of Fractions 7764/909,5736/7007 is 12/6369363
Least Common Multiple of 909,7007 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 909,7007 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(909,7007) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(909,7007) x common factors =1 x 1 = 1
LCM(909,7007) = ( 909 × 7007 ) / 1
LCM(909,7007) = 6369363 / 1
LCM(909,7007) = 6369363
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 7764/909, 5736/7007
1. What is the HCF of 7764,5736?
The HCF of 7764,5736 is 12
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 7764/909, 5736/7007?
Answer: GCF of Numerators as per given numbers 7764/909, 5736/7007 is
GCF of Numerators i.e. for 7764,5736 is 12
LCM of denominators i.e. for 909,7007 is 6369363.
Thus, GCF of Fractions is 12/6369363.Finally, GCF of Fractions for 7764/909, 5736/7007 is 12/6369363.