GCF of 7815/116, 1884/279
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7815/116, 1884/279 i.e 3/32364 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7815/116, 1884/279.
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 7815/116,1884/279?
Given fractions are 7815/116,1884/279
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 7815/116,1884/279, numerators are 7815,1884
Denominators are 116,279
The GCF of 7815,1884 is 3 .
LCM of 116,279 is 32364.
The greatest common factor of 7815/116,1884/279 = [GCF of 7815,1884]/[LCM of 116,279]= 3/32364
Therefore, the GCF of 7815/116,1884/279 is 3/32364.
To find the highest common factor of 7815,1884, we have to find the factors of both numbers and list the highest common factor.
The factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815
The factors of 1884 are 1, 2, 3, 4, 6, 12, 157, 314, 471, 628, 942, 1884
The HCF of 7815,1884 is 3.
Lets's calculate GCF of 7815,1884
| 3 | 7815, 1884 |
| 2605, 628 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 7815,1884 By Matching Biggest Common Factor Method
Now, list down the factors of 7815
:1,3,5,15,521,1563,2605,7815
Now, list down the factors of 1884
:1,2,3,4,6,12,157,314,471,628,942,1884
Greatest Common Factor
We found the factors 7815,1884 . The biggest common factor number is the GCF number.
So the greatest common factor 7815,1884 is 3.
Lets's calculate LCM of 116,279
Given numbers has no common factors except 1. So, there LCM is their product i.e 32364
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/32364
Therefore, the GCF of Fractions 7815/116,1884/279 is 3/32364
Least Common Multiple of 116,279 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 116,279 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,279) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(116,279) x common factors =1 x 1 = 1
LCM(116,279) = ( 116 × 279 ) / 1
LCM(116,279) = 32364 / 1
LCM(116,279) = 32364
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FAQs on GCF of Fractions of 7815/116, 1884/279
1. What is the HCF of 7815,1884?
The HCF of 7815,1884 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 7815/116, 1884/279?
Answer: GCF of Numerators as per given numbers 7815/116, 1884/279 is
GCF of Numerators i.e. for 7815,1884 is 3
LCM of denominators i.e. for 116,279 is 32364.
Thus, GCF of Fractions is 3/32364.Finally, GCF of Fractions for 7815/116, 1884/279 is 3/32364.