GCF of 8706/652, 9978/5552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8706/652, 9978/5552 i.e 6/904976 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8706/652, 9978/5552.
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 8706/652,9978/5552?
Given fractions are 8706/652,9978/5552
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 8706/652,9978/5552, numerators are 8706,9978
Denominators are 652,5552
The GCF of 8706,9978 is 6 .
LCM of 652,5552 is 904976.
The greatest common factor of 8706/652,9978/5552 = [GCF of 8706,9978]/[LCM of 652,5552]= 6/904976
Therefore, the GCF of 8706/652,9978/5552 is 6/904976.
To find the highest common factor of 8706,9978, we have to find the factors of both numbers and list the highest common factor.
The factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706
The factors of 9978 are 1, 2, 3, 6, 1663, 3326, 4989, 9978
The HCF of 8706,9978 is 6.
Lets's calculate GCF of 8706,9978
| 2 | 8706, 9978 |
| 3 | 4353, 4989 |
| 1451, 1663 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 8706,9978 By Matching Biggest Common Factor Method
Now, list down the factors of 8706
:1,2,3,6,1451,2902,4353,8706
Now, list down the factors of 9978
:1,2,3,6,1663,3326,4989,9978
Greatest Common Factor
We found the factors 8706,9978 . The biggest common factor number is the GCF number.
So the greatest common factor 8706,9978 is 6.
Lets's calculate LCM of 652,5552
| 2 | 652, 5552 |
| 2 | 326, 2776 |
| 163, 1388 |
∴ So the LCM of the given numbers is 2 x 2 x 163 x 1388 = 904976
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/904976
Therefore, the GCF of Fractions 8706/652,9978/5552 is 6/904976
Least Common Multiple of 652,5552 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 652,5552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(652,5552) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(652,5552) x common factors =4 x 1 = 4
LCM(652,5552) = ( 652 × 5552 ) / 4
LCM(652,5552) = 3619904 / 4
LCM(652,5552) = 904976
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FAQs on GCF of Fractions of 8706/652, 9978/5552
1. What is the HCF of 8706,9978?
The HCF of 8706,9978 is 6
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 8706/652, 9978/5552?
Answer: GCF of Numerators as per given numbers 8706/652, 9978/5552 is
GCF of Numerators i.e. for 8706,9978 is 6
LCM of denominators i.e. for 652,5552 is 904976.
Thus, GCF of Fractions is 6/904976.Finally, GCF of Fractions for 8706/652, 9978/5552 is 6/904976.