GCF of 9927/686, 8870/8122
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9927/686, 8870/8122 i.e 1/2785846 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9927/686, 8870/8122.
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 9927/686,8870/8122?
Given fractions are 9927/686,8870/8122
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 9927/686,8870/8122, numerators are 9927,8870
Denominators are 686,8122
The GCF of 9927,8870 is 1 .
LCM of 686,8122 is 2785846.
The greatest common factor of 9927/686,8870/8122 = [GCF of 9927,8870]/[LCM of 686,8122]= 1/2785846
Therefore, the GCF of 9927/686,8870/8122 is 1/2785846.
To find the highest common factor of 9927,8870, we have to find the factors of both numbers and list the highest common factor.
The factors of 9927 are 1, 3, 9, 1103, 3309, 9927
The factors of 8870 are 1, 2, 5, 10, 887, 1774, 4435, 8870
The HCF of 9927,8870 is 1.
Lets's calculate GCF of 9927,8870
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9927,8870 By Matching Biggest Common Factor Method
Now, list down the factors of 9927
:1,3,9,1103,3309,9927
Now, list down the factors of 8870
:1,2,5,10,887,1774,4435,8870
Greatest Common Factor
We found the factors 9927,8870 . The biggest common factor number is the GCF number.
So the greatest common factor 9927,8870 is 1.
Lets's calculate LCM of 686,8122
| 2 | 686, 8122 |
| 343, 4061 |
∴ So the LCM of the given numbers is 2 x 343 x 4061 = 2785846
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2785846
Therefore, the GCF of Fractions 9927/686,8870/8122 is 1/2785846
Least Common Multiple of 686,8122 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 686,8122 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(686,8122) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(686,8122) x common factors =2 x 1 = 2
LCM(686,8122) = ( 686 × 8122 ) / 2
LCM(686,8122) = 5571692 / 2
LCM(686,8122) = 2785846
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FAQs on GCF of Fractions of 9927/686, 8870/8122
1. What is the HCF of 9927,8870?
The HCF of 9927,8870 is 1
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 9927/686, 8870/8122?
Answer: GCF of Numerators as per given numbers 9927/686, 8870/8122 is
GCF of Numerators i.e. for 9927,8870 is 1
LCM of denominators i.e. for 686,8122 is 2785846.
Thus, GCF of Fractions is 1/2785846.Finally, GCF of Fractions for 9927/686, 8870/8122 is 1/2785846.