GCF of 5581/860, 7884/285
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5581/860, 7884/285 i.e 1/49020 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5581/860, 7884/285.
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 5581/860,7884/285?
Given fractions are 5581/860,7884/285
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 5581/860,7884/285, numerators are 5581,7884
Denominators are 860,285
The GCF of 5581,7884 is 1 .
LCM of 860,285 is 49020.
The greatest common factor of 5581/860,7884/285 = [GCF of 5581,7884]/[LCM of 860,285]= 1/49020
Therefore, the GCF of 5581/860,7884/285 is 1/49020.
To find the highest common factor of 5581,7884, we have to find the factors of both numbers and list the highest common factor.
The factors of 5581 are 1, 5581
The factors of 7884 are 1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 73, 108, 146, 219, 292, 438, 657, 876, 1314, 1971, 2628, 3942, 7884
The HCF of 5581,7884 is 1.
Lets's calculate GCF of 5581,7884
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5581,7884 By Matching Biggest Common Factor Method
Now, list down the factors of 5581
:1,5581
Now, list down the factors of 7884
:1,2,3,4,6,9,12,18,27,36,54,73,108,146,219,292,438,657,876,1314,1971,2628,3942,7884
Greatest Common Factor
We found the factors 5581,7884 . The biggest common factor number is the GCF number.
So the greatest common factor 5581,7884 is 1.
Lets's calculate LCM of 860,285
| 5 | 860, 285 |
| 172, 57 |
∴ So the LCM of the given numbers is 5 x 172 x 57 = 49020
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/49020
Therefore, the GCF of Fractions 5581/860,7884/285 is 1/49020
Least Common Multiple of 860,285 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 860,285 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,285) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(860,285) x common factors =5 x 1 = 5
LCM(860,285) = ( 860 × 285 ) / 5
LCM(860,285) = 245100 / 5
LCM(860,285) = 49020
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FAQs on GCF of Fractions of 5581/860, 7884/285
1. What is the HCF of 5581,7884?
The HCF of 5581,7884 is 1
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 5581/860, 7884/285?
Answer: GCF of Numerators as per given numbers 5581/860, 7884/285 is
GCF of Numerators i.e. for 5581,7884 is 1
LCM of denominators i.e. for 860,285 is 49020.
Thus, GCF of Fractions is 1/49020.Finally, GCF of Fractions for 5581/860, 7884/285 is 1/49020.