GCF of 7516/115, 2112/1929
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7516/115, 2112/1929 i.e 4/221835 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7516/115, 2112/1929.
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 7516/115,2112/1929?
Given fractions are 7516/115,2112/1929
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 7516/115,2112/1929, numerators are 7516,2112
Denominators are 115,1929
The GCF of 7516,2112 is 4 .
LCM of 115,1929 is 221835.
The greatest common factor of 7516/115,2112/1929 = [GCF of 7516,2112]/[LCM of 115,1929]= 4/221835
Therefore, the GCF of 7516/115,2112/1929 is 4/221835.
To find the highest common factor of 7516,2112, we have to find the factors of both numbers and list the highest common factor.
The factors of 7516 are 1, 2, 4, 1879, 3758, 7516
The factors of 2112 are 1, 2, 3, 4, 6, 8, 11, 12, 16, 22, 24, 32, 33, 44, 48, 64, 66, 88, 96, 132, 176, 192, 264, 352, 528, 704, 1056, 2112
The HCF of 7516,2112 is 4.
Lets's calculate GCF of 7516,2112
| 2 | 7516, 2112 |
| 2 | 3758, 1056 |
| 1879, 528 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 7516,2112 By Matching Biggest Common Factor Method
Now, list down the factors of 7516
:1,2,4,1879,3758,7516
Now, list down the factors of 2112
:1,2,3,4,6,8,11,12,16,22,24,32,33,44,48,64,66,88,96,132,176,192,264,352,528,704,1056,2112
Greatest Common Factor
We found the factors 7516,2112 . The biggest common factor number is the GCF number.
So the greatest common factor 7516,2112 is 4.
Lets's calculate LCM of 115,1929
Given numbers has no common factors except 1. So, there LCM is their product i.e 221835
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/221835
Therefore, the GCF of Fractions 7516/115,2112/1929 is 4/221835
Least Common Multiple of 115,1929 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 115,1929 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(115,1929) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(115,1929) x common factors =1 x 1 = 1
LCM(115,1929) = ( 115 × 1929 ) / 1
LCM(115,1929) = 221835 / 1
LCM(115,1929) = 221835
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FAQs on GCF of Fractions of 7516/115, 2112/1929
1. What is the HCF of 7516,2112?
The HCF of 7516,2112 is 4
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 7516/115, 2112/1929?
Answer: GCF of Numerators as per given numbers 7516/115, 2112/1929 is
GCF of Numerators i.e. for 7516,2112 is 4
LCM of denominators i.e. for 115,1929 is 221835.
Thus, GCF of Fractions is 4/221835.Finally, GCF of Fractions for 7516/115, 2112/1929 is 4/221835.