GCF of 8555/102, 5885/9948
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8555/102, 5885/9948 i.e 5/169116 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8555/102, 5885/9948.
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 8555/102,5885/9948?
Given fractions are 8555/102,5885/9948
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 8555/102,5885/9948, numerators are 8555,5885
Denominators are 102,9948
The GCF of 8555,5885 is 5 .
LCM of 102,9948 is 169116.
The greatest common factor of 8555/102,5885/9948 = [GCF of 8555,5885]/[LCM of 102,9948]= 5/169116
Therefore, the GCF of 8555/102,5885/9948 is 5/169116.
To find the highest common factor of 8555,5885, we have to find the factors of both numbers and list the highest common factor.
The factors of 8555 are 1, 5, 29, 59, 145, 295, 1711, 8555
The factors of 5885 are 1, 5, 11, 55, 107, 535, 1177, 5885
The HCF of 8555,5885 is 5.
Lets's calculate GCF of 8555,5885
| 5 | 8555, 5885 |
| 1711, 1177 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 8555,5885 By Matching Biggest Common Factor Method
Now, list down the factors of 8555
:1,5,29,59,145,295,1711,8555
Now, list down the factors of 5885
:1,5,11,55,107,535,1177,5885
Greatest Common Factor
We found the factors 8555,5885 . The biggest common factor number is the GCF number.
So the greatest common factor 8555,5885 is 5.
Lets's calculate LCM of 102,9948
| 2 | 102, 9948 |
| 3 | 51, 4974 |
| 17, 1658 |
∴ So the LCM of the given numbers is 2 x 3 x 17 x 1658 = 169116
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/169116
Therefore, the GCF of Fractions 8555/102,5885/9948 is 5/169116
Least Common Multiple of 102,9948 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 102,9948 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(102,9948) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(102,9948) x common factors =6 x 1 = 6
LCM(102,9948) = ( 102 × 9948 ) / 6
LCM(102,9948) = 1014696 / 6
LCM(102,9948) = 169116
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FAQs on GCF of Fractions of 8555/102, 5885/9948
1. What is the HCF of 8555,5885?
The HCF of 8555,5885 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 8555/102, 5885/9948?
Answer: GCF of Numerators as per given numbers 8555/102, 5885/9948 is
GCF of Numerators i.e. for 8555,5885 is 5
LCM of denominators i.e. for 102,9948 is 169116.
Thus, GCF of Fractions is 5/169116.Finally, GCF of Fractions for 8555/102, 5885/9948 is 5/169116.