GCF of 9342/787, 8760/2244
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9342/787, 8760/2244 i.e 6/1766028 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9342/787, 8760/2244.
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 9342/787,8760/2244?
Given fractions are 9342/787,8760/2244
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 9342/787,8760/2244, numerators are 9342,8760
Denominators are 787,2244
The GCF of 9342,8760 is 6 .
LCM of 787,2244 is 1766028.
The greatest common factor of 9342/787,8760/2244 = [GCF of 9342,8760]/[LCM of 787,2244]= 6/1766028
Therefore, the GCF of 9342/787,8760/2244 is 6/1766028.
To find the highest common factor of 9342,8760, we have to find the factors of both numbers and list the highest common factor.
The factors of 9342 are 1, 2, 3, 6, 9, 18, 27, 54, 173, 346, 519, 1038, 1557, 3114, 4671, 9342
The factors of 8760 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 73, 120, 146, 219, 292, 365, 438, 584, 730, 876, 1095, 1460, 1752, 2190, 2920, 4380, 8760
The HCF of 9342,8760 is 6.
Lets's calculate GCF of 9342,8760
| 2 | 9342, 8760 |
| 3 | 4671, 4380 |
| 1557, 1460 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 9342,8760 By Matching Biggest Common Factor Method
Now, list down the factors of 9342
:1,2,3,6,9,18,27,54,173,346,519,1038,1557,3114,4671,9342
Now, list down the factors of 8760
:1,2,3,4,5,6,8,10,12,15,20,24,30,40,60,73,120,146,219,292,365,438,584,730,876,1095,1460,1752,2190,2920,4380,8760
Greatest Common Factor
We found the factors 9342,8760 . The biggest common factor number is the GCF number.
So the greatest common factor 9342,8760 is 6.
Lets's calculate LCM of 787,2244
Given numbers has no common factors except 1. So, there LCM is their product i.e 1766028
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/1766028
Therefore, the GCF of Fractions 9342/787,8760/2244 is 6/1766028
Least Common Multiple of 787,2244 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 787,2244 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,2244) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,2244) x common factors =1 x 1 = 1
LCM(787,2244) = ( 787 × 2244 ) / 1
LCM(787,2244) = 1766028 / 1
LCM(787,2244) = 1766028
GCF of Fractions Calculation Examples
Here are some samples of GCF of Fractions calculations.
FAQs on GCF of Fractions of 9342/787, 8760/2244
1. What is the HCF of 9342,8760?
The HCF of 9342,8760 is 6
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 9342/787, 8760/2244?
Answer: GCF of Numerators as per given numbers 9342/787, 8760/2244 is
GCF of Numerators i.e. for 9342,8760 is 6
LCM of denominators i.e. for 787,2244 is 1766028.
Thus, GCF of Fractions is 6/1766028.Finally, GCF of Fractions for 9342/787, 8760/2244 is 6/1766028.