GCF of 9872/116, 8107/1120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9872/116, 8107/1120 i.e 1/32480 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9872/116, 8107/1120.
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 9872/116,8107/1120?
Given fractions are 9872/116,8107/1120
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 9872/116,8107/1120, numerators are 9872,8107
Denominators are 116,1120
The GCF of 9872,8107 is 1 .
LCM of 116,1120 is 32480.
The greatest common factor of 9872/116,8107/1120 = [GCF of 9872,8107]/[LCM of 116,1120]= 1/32480
Therefore, the GCF of 9872/116,8107/1120 is 1/32480.
To find the highest common factor of 9872,8107, we have to find the factors of both numbers and list the highest common factor.
The factors of 9872 are 1, 2, 4, 8, 16, 617, 1234, 2468, 4936, 9872
The factors of 8107 are 1, 11, 67, 121, 737, 8107
The HCF of 9872,8107 is 1.
Lets's calculate GCF of 9872,8107
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 9872,8107 By Matching Biggest Common Factor Method
Now, list down the factors of 9872
:1,2,4,8,16,617,1234,2468,4936,9872
Now, list down the factors of 8107
:1,11,67,121,737,8107
Greatest Common Factor
We found the factors 9872,8107 . The biggest common factor number is the GCF number.
So the greatest common factor 9872,8107 is 1.
Lets's calculate LCM of 116,1120
| 2 | 116, 1120 |
| 2 | 58, 560 |
| 29, 280 |
∴ So the LCM of the given numbers is 2 x 2 x 29 x 280 = 32480
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/32480
Therefore, the GCF of Fractions 9872/116,8107/1120 is 1/32480
Least Common Multiple of 116,1120 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 116,1120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(116,1120) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(116,1120) x common factors =4 x 1 = 4
LCM(116,1120) = ( 116 × 1120 ) / 4
LCM(116,1120) = 129920 / 4
LCM(116,1120) = 32480
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FAQs on GCF of Fractions of 9872/116, 8107/1120
1. What is the HCF of 9872,8107?
The HCF of 9872,8107 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 9872/116, 8107/1120?
Answer: GCF of Numerators as per given numbers 9872/116, 8107/1120 is
GCF of Numerators i.e. for 9872,8107 is 1
LCM of denominators i.e. for 116,1120 is 32480.
Thus, GCF of Fractions is 1/32480.Finally, GCF of Fractions for 9872/116, 8107/1120 is 1/32480.