GCF of 5445/886, 8190/400
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5445/886, 8190/400 i.e 45/177200 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5445/886, 8190/400.
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 5445/886,8190/400?
Given fractions are 5445/886,8190/400
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 5445/886,8190/400, numerators are 5445,8190
Denominators are 886,400
The GCF of 5445,8190 is 45 .
LCM of 886,400 is 177200.
The greatest common factor of 5445/886,8190/400 = [GCF of 5445,8190]/[LCM of 886,400]= 45/177200
Therefore, the GCF of 5445/886,8190/400 is 45/177200.
To find the highest common factor of 5445,8190, we have to find the factors of both numbers and list the highest common factor.
The factors of 5445 are 1, 3, 5, 9, 11, 15, 33, 45, 55, 99, 121, 165, 363, 495, 605, 1089, 1815, 5445
The factors of 8190 are 1, 2, 3, 5, 6, 7, 9, 10, 13, 14, 15, 18, 21, 26, 30, 35, 39, 42, 45, 63, 65, 70, 78, 90, 91, 105, 117, 126, 130, 182, 195, 210, 234, 273, 315, 390, 455, 546, 585, 630, 819, 910, 1170, 1365, 1638, 2730, 4095, 8190
The HCF of 5445,8190 is 45.
Lets's calculate GCF of 5445,8190
| 3 | 5445, 8190 |
| 3 | 1815, 2730 |
| 5 | 605, 910 |
| 121, 182 |
∴ So the GCF of the given numbers is 3 x 3 x 5 = 45
Greatest Common Factor of 5445,8190 By Matching Biggest Common Factor Method
Now, list down the factors of 5445
:1,3,5,9,11,15,33,45,55,99,121,165,363,495,605,1089,1815,5445
Now, list down the factors of 8190
:1,2,3,5,6,7,9,10,13,14,15,18,21,26,30,35,39,42,45,63,65,70,78,90,91,105,117,126,130,182,195,210,234,273,315,390,455,546,585,630,819,910,1170,1365,1638,2730,4095,8190
Greatest Common Factor
We found the factors 5445,8190 . The biggest common factor number is the GCF number.
So the greatest common factor 5445,8190 is 45.
Lets's calculate LCM of 886,400
| 2 | 886, 400 |
| 443, 200 |
∴ So the LCM of the given numbers is 2 x 443 x 200 = 177200
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 45/177200
Therefore, the GCF of Fractions 5445/886,8190/400 is 45/177200
Least Common Multiple of 886,400 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 886,400 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(886,400) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(886,400) x common factors =2 x 1 = 2
LCM(886,400) = ( 886 × 400 ) / 2
LCM(886,400) = 354400 / 2
LCM(886,400) = 177200
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FAQs on GCF of Fractions of 5445/886, 8190/400
1. What is the HCF of 5445,8190?
The HCF of 5445,8190 is 45
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 5445/886, 8190/400?
Answer: GCF of Numerators as per given numbers 5445/886, 8190/400 is
GCF of Numerators i.e. for 5445,8190 is 45
LCM of denominators i.e. for 886,400 is 177200.
Thus, GCF of Fractions is 45/177200.Finally, GCF of Fractions for 5445/886, 8190/400 is 45/177200.