GCF of 8940/729, 9945/284
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8940/729, 9945/284 i.e 15/207036 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8940/729, 9945/284.
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 8940/729,9945/284?
Given fractions are 8940/729,9945/284
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 8940/729,9945/284, numerators are 8940,9945
Denominators are 729,284
The GCF of 8940,9945 is 15 .
LCM of 729,284 is 207036.
The greatest common factor of 8940/729,9945/284 = [GCF of 8940,9945]/[LCM of 729,284]= 15/207036
Therefore, the GCF of 8940/729,9945/284 is 15/207036.
To find the highest common factor of 8940,9945, we have to find the factors of both numbers and list the highest common factor.
The factors of 8940 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 149, 298, 447, 596, 745, 894, 1490, 1788, 2235, 2980, 4470, 8940
The factors of 9945 are 1, 3, 5, 9, 13, 15, 17, 39, 45, 51, 65, 85, 117, 153, 195, 221, 255, 585, 663, 765, 1105, 1989, 3315, 9945
The HCF of 8940,9945 is 15.
Lets's calculate GCF of 8940,9945
| 3 | 8940, 9945 |
| 5 | 2980, 3315 |
| 596, 663 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 8940,9945 By Matching Biggest Common Factor Method
Now, list down the factors of 8940
:1,2,3,4,5,6,10,12,15,20,30,60,149,298,447,596,745,894,1490,1788,2235,2980,4470,8940
Now, list down the factors of 9945
:1,3,5,9,13,15,17,39,45,51,65,85,117,153,195,221,255,585,663,765,1105,1989,3315,9945
Greatest Common Factor
We found the factors 8940,9945 . The biggest common factor number is the GCF number.
So the greatest common factor 8940,9945 is 15.
Lets's calculate LCM of 729,284
Given numbers has no common factors except 1. So, there LCM is their product i.e 207036
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/207036
Therefore, the GCF of Fractions 8940/729,9945/284 is 15/207036
Least Common Multiple of 729,284 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 729,284 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(729,284) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(729,284) x common factors =1 x 1 = 1
LCM(729,284) = ( 729 × 284 ) / 1
LCM(729,284) = 207036 / 1
LCM(729,284) = 207036
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FAQs on GCF of Fractions of 8940/729, 9945/284
1. What is the HCF of 8940,9945?
The HCF of 8940,9945 is 15
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 8940/729, 9945/284?
Answer: GCF of Numerators as per given numbers 8940/729, 9945/284 is
GCF of Numerators i.e. for 8940,9945 is 15
LCM of denominators i.e. for 729,284 is 207036.
Thus, GCF of Fractions is 15/207036.Finally, GCF of Fractions for 8940/729, 9945/284 is 15/207036.