GCF of 9928/407, 8706/982
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9928/407, 8706/982 i.e 2/399674 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9928/407, 8706/982.
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 9928/407,8706/982?
Given fractions are 9928/407,8706/982
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 9928/407,8706/982, numerators are 9928,8706
Denominators are 407,982
The GCF of 9928,8706 is 2 .
LCM of 407,982 is 399674.
The greatest common factor of 9928/407,8706/982 = [GCF of 9928,8706]/[LCM of 407,982]= 2/399674
Therefore, the GCF of 9928/407,8706/982 is 2/399674.
To find the highest common factor of 9928,8706, we have to find the factors of both numbers and list the highest common factor.
The factors of 9928 are 1, 2, 4, 8, 17, 34, 68, 73, 136, 146, 292, 584, 1241, 2482, 4964, 9928
The factors of 8706 are 1, 2, 3, 6, 1451, 2902, 4353, 8706
The HCF of 9928,8706 is 2.
Lets's calculate GCF of 9928,8706
| 2 | 9928, 8706 |
| 4964, 4353 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 9928,8706 By Matching Biggest Common Factor Method
Now, list down the factors of 9928
:1,2,4,8,17,34,68,73,136,146,292,584,1241,2482,4964,9928
Now, list down the factors of 8706
:1,2,3,6,1451,2902,4353,8706
Greatest Common Factor
We found the factors 9928,8706 . The biggest common factor number is the GCF number.
So the greatest common factor 9928,8706 is 2.
Lets's calculate LCM of 407,982
Given numbers has no common factors except 1. So, there LCM is their product i.e 399674
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/399674
Therefore, the GCF of Fractions 9928/407,8706/982 is 2/399674
Least Common Multiple of 407,982 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 407,982 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,982) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,982) x common factors =1 x 1 = 1
LCM(407,982) = ( 407 × 982 ) / 1
LCM(407,982) = 399674 / 1
LCM(407,982) = 399674
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FAQs on GCF of Fractions of 9928/407, 8706/982
1. What is the HCF of 9928,8706?
The HCF of 9928,8706 is 2
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 9928/407, 8706/982?
Answer: GCF of Numerators as per given numbers 9928/407, 8706/982 is
GCF of Numerators i.e. for 9928,8706 is 2
LCM of denominators i.e. for 407,982 is 399674.
Thus, GCF of Fractions is 2/399674.Finally, GCF of Fractions for 9928/407, 8706/982 is 2/399674.