GCF of 8678/126, 9864/809
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8678/126, 9864/809 i.e 2/101934 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8678/126, 9864/809.
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 8678/126,9864/809?
Given fractions are 8678/126,9864/809
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 8678/126,9864/809, numerators are 8678,9864
Denominators are 126,809
The GCF of 8678,9864 is 2 .
LCM of 126,809 is 101934.
The greatest common factor of 8678/126,9864/809 = [GCF of 8678,9864]/[LCM of 126,809]= 2/101934
Therefore, the GCF of 8678/126,9864/809 is 2/101934.
To find the highest common factor of 8678,9864, we have to find the factors of both numbers and list the highest common factor.
The factors of 8678 are 1, 2, 4339, 8678
The factors of 9864 are 1, 2, 3, 4, 6, 8, 9, 12, 18, 24, 36, 72, 137, 274, 411, 548, 822, 1096, 1233, 1644, 2466, 3288, 4932, 9864
The HCF of 8678,9864 is 2.
Lets's calculate GCF of 8678,9864
| 2 | 8678, 9864 |
| 4339, 4932 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 8678,9864 By Matching Biggest Common Factor Method
Now, list down the factors of 8678
:1,2,4339,8678
Now, list down the factors of 9864
:1,2,3,4,6,8,9,12,18,24,36,72,137,274,411,548,822,1096,1233,1644,2466,3288,4932,9864
Greatest Common Factor
We found the factors 8678,9864 . The biggest common factor number is the GCF number.
So the greatest common factor 8678,9864 is 2.
Lets's calculate LCM of 126,809
Given numbers has no common factors except 1. So, there LCM is their product i.e 101934
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/101934
Therefore, the GCF of Fractions 8678/126,9864/809 is 2/101934
Least Common Multiple of 126,809 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 126,809 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(126,809) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(126,809) x common factors =1 x 1 = 1
LCM(126,809) = ( 126 × 809 ) / 1
LCM(126,809) = 101934 / 1
LCM(126,809) = 101934
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FAQs on GCF of Fractions of 8678/126, 9864/809
1. What is the HCF of 8678,9864?
The HCF of 8678,9864 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 8678/126, 9864/809?
Answer: GCF of Numerators as per given numbers 8678/126, 9864/809 is
GCF of Numerators i.e. for 8678,9864 is 2
LCM of denominators i.e. for 126,809 is 101934.
Thus, GCF of Fractions is 2/101934.Finally, GCF of Fractions for 8678/126, 9864/809 is 2/101934.