GCF of 9855/186, 1420/8626
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9855/186, 1420/8626 i.e 5/802218 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9855/186, 1420/8626.
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 9855/186,1420/8626?
Given fractions are 9855/186,1420/8626
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 9855/186,1420/8626, numerators are 9855,1420
Denominators are 186,8626
The GCF of 9855,1420 is 5 .
LCM of 186,8626 is 802218.
The greatest common factor of 9855/186,1420/8626 = [GCF of 9855,1420]/[LCM of 186,8626]= 5/802218
Therefore, the GCF of 9855/186,1420/8626 is 5/802218.
To find the highest common factor of 9855,1420, we have to find the factors of both numbers and list the highest common factor.
The factors of 9855 are 1, 3, 5, 9, 15, 27, 45, 73, 135, 219, 365, 657, 1095, 1971, 3285, 9855
The factors of 1420 are 1, 2, 4, 5, 10, 20, 71, 142, 284, 355, 710, 1420
The HCF of 9855,1420 is 5.
Lets's calculate GCF of 9855,1420
| 5 | 9855, 1420 |
| 1971, 284 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 9855,1420 By Matching Biggest Common Factor Method
Now, list down the factors of 9855
:1,3,5,9,15,27,45,73,135,219,365,657,1095,1971,3285,9855
Now, list down the factors of 1420
:1,2,4,5,10,20,71,142,284,355,710,1420
Greatest Common Factor
We found the factors 9855,1420 . The biggest common factor number is the GCF number.
So the greatest common factor 9855,1420 is 5.
Lets's calculate LCM of 186,8626
| 2 | 186, 8626 |
| 93, 4313 |
∴ So the LCM of the given numbers is 2 x 93 x 4313 = 802218
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/802218
Therefore, the GCF of Fractions 9855/186,1420/8626 is 5/802218
Least Common Multiple of 186,8626 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 186,8626 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(186,8626) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(186,8626) x common factors =2 x 1 = 2
LCM(186,8626) = ( 186 × 8626 ) / 2
LCM(186,8626) = 1604436 / 2
LCM(186,8626) = 802218
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FAQs on GCF of Fractions of 9855/186, 1420/8626
1. What is the HCF of 9855,1420?
The HCF of 9855,1420 is 5
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 9855/186, 1420/8626?
Answer: GCF of Numerators as per given numbers 9855/186, 1420/8626 is
GCF of Numerators i.e. for 9855,1420 is 5
LCM of denominators i.e. for 186,8626 is 802218.
Thus, GCF of Fractions is 5/802218.Finally, GCF of Fractions for 9855/186, 1420/8626 is 5/802218.