GCF of 1125/852, 5187/8094
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1125/852, 5187/8094 i.e 3/16188 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1125/852, 5187/8094.
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 1125/852,5187/8094?
Given fractions are 1125/852,5187/8094
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 1125/852,5187/8094, numerators are 1125,5187
Denominators are 852,8094
The GCF of 1125,5187 is 3 .
LCM of 852,8094 is 16188.
The greatest common factor of 1125/852,5187/8094 = [GCF of 1125,5187]/[LCM of 852,8094]= 3/16188
Therefore, the GCF of 1125/852,5187/8094 is 3/16188.
To find the highest common factor of 1125,5187, we have to find the factors of both numbers and list the highest common factor.
The factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125
The factors of 5187 are 1, 3, 7, 13, 19, 21, 39, 57, 91, 133, 247, 273, 399, 741, 1729, 5187
The HCF of 1125,5187 is 3.
Lets's calculate GCF of 1125,5187
| 3 | 1125, 5187 |
| 375, 1729 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1125,5187 By Matching Biggest Common Factor Method
Now, list down the factors of 1125
:1,3,5,9,15,25,45,75,125,225,375,1125
Now, list down the factors of 5187
:1,3,7,13,19,21,39,57,91,133,247,273,399,741,1729,5187
Greatest Common Factor
We found the factors 1125,5187 . The biggest common factor number is the GCF number.
So the greatest common factor 1125,5187 is 3.
Lets's calculate LCM of 852,8094
| 2 | 852, 8094 |
| 3 | 426, 4047 |
| 71 | 142, 1349 |
| 2, 19 |
∴ So the LCM of the given numbers is 2 x 3 x 71 x 2 x 19 = 16188
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/16188
Therefore, the GCF of Fractions 1125/852,5187/8094 is 3/16188
Least Common Multiple of 852,8094 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 852,8094 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(852,8094) = 426
common factors(in case of two or more numbers have common factors) = 1
GCF(852,8094) x common factors =426 x 1 = 426
LCM(852,8094) = ( 852 × 8094 ) / 426
LCM(852,8094) = 6896088 / 426
LCM(852,8094) = 16188
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FAQs on GCF of Fractions of 1125/852, 5187/8094
1. What is the HCF of 1125,5187?
The HCF of 1125,5187 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 1125/852, 5187/8094?
Answer: GCF of Numerators as per given numbers 1125/852, 5187/8094 is
GCF of Numerators i.e. for 1125,5187 is 3
LCM of denominators i.e. for 852,8094 is 16188.
Thus, GCF of Fractions is 3/16188.Finally, GCF of Fractions for 1125/852, 5187/8094 is 3/16188.