GCF of 1215/168, 7812/5299
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1215/168, 7812/5299 i.e 9/127176 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1215/168, 7812/5299.
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 1215/168,7812/5299?
Given fractions are 1215/168,7812/5299
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 1215/168,7812/5299, numerators are 1215,7812
Denominators are 168,5299
The GCF of 1215,7812 is 9 .
LCM of 168,5299 is 127176.
The greatest common factor of 1215/168,7812/5299 = [GCF of 1215,7812]/[LCM of 168,5299]= 9/127176
Therefore, the GCF of 1215/168,7812/5299 is 9/127176.
To find the highest common factor of 1215,7812, we have to find the factors of both numbers and list the highest common factor.
The factors of 1215 are 1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 1215
The factors of 7812 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 31, 36, 42, 62, 63, 84, 93, 124, 126, 186, 217, 252, 279, 372, 434, 558, 651, 868, 1116, 1302, 1953, 2604, 3906, 7812
The HCF of 1215,7812 is 9.
Lets's calculate GCF of 1215,7812
| 3 | 1215, 7812 |
| 3 | 405, 2604 |
| 135, 868 |
∴ So the GCF of the given numbers is 3 x 3 = 9
Greatest Common Factor of 1215,7812 By Matching Biggest Common Factor Method
Now, list down the factors of 1215
:1,3,5,9,15,27,45,81,135,243,405,1215
Now, list down the factors of 7812
:1,2,3,4,6,7,9,12,14,18,21,28,31,36,42,62,63,84,93,124,126,186,217,252,279,372,434,558,651,868,1116,1302,1953,2604,3906,7812
Greatest Common Factor
We found the factors 1215,7812 . The biggest common factor number is the GCF number.
So the greatest common factor 1215,7812 is 9.
Lets's calculate LCM of 168,5299
| 7 | 168, 5299 |
| 24, 757 |
∴ So the LCM of the given numbers is 7 x 24 x 757 = 127176
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 9/127176
Therefore, the GCF of Fractions 1215/168,7812/5299 is 9/127176
Least Common Multiple of 168,5299 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 168,5299 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(168,5299) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(168,5299) x common factors =7 x 1 = 7
LCM(168,5299) = ( 168 × 5299 ) / 7
LCM(168,5299) = 890232 / 7
LCM(168,5299) = 127176
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FAQs on GCF of Fractions of 1215/168, 7812/5299
1. What is the HCF of 1215,7812?
The HCF of 1215,7812 is 9
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 1215/168, 7812/5299?
Answer: GCF of Numerators as per given numbers 1215/168, 7812/5299 is
GCF of Numerators i.e. for 1215,7812 is 9
LCM of denominators i.e. for 168,5299 is 127176.
Thus, GCF of Fractions is 9/127176.Finally, GCF of Fractions for 1215/168, 7812/5299 is 9/127176.