GCF of 8433/334, 4160/6814
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8433/334, 4160/6814 i.e 1/1137938 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8433/334, 4160/6814.
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 8433/334,4160/6814?
Given fractions are 8433/334,4160/6814
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 8433/334,4160/6814, numerators are 8433,4160
Denominators are 334,6814
The GCF of 8433,4160 is 1 .
LCM of 334,6814 is 1137938.
The greatest common factor of 8433/334,4160/6814 = [GCF of 8433,4160]/[LCM of 334,6814]= 1/1137938
Therefore, the GCF of 8433/334,4160/6814 is 1/1137938.
To find the highest common factor of 8433,4160, we have to find the factors of both numbers and list the highest common factor.
The factors of 8433 are 1, 3, 9, 937, 2811, 8433
The factors of 4160 are 1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 32, 40, 52, 64, 65, 80, 104, 130, 160, 208, 260, 320, 416, 520, 832, 1040, 2080, 4160
The HCF of 8433,4160 is 1.
Lets's calculate GCF of 8433,4160
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8433,4160 By Matching Biggest Common Factor Method
Now, list down the factors of 8433
:1,3,9,937,2811,8433
Now, list down the factors of 4160
:1,2,4,5,8,10,13,16,20,26,32,40,52,64,65,80,104,130,160,208,260,320,416,520,832,1040,2080,4160
Greatest Common Factor
We found the factors 8433,4160 . The biggest common factor number is the GCF number.
So the greatest common factor 8433,4160 is 1.
Lets's calculate LCM of 334,6814
| 2 | 334, 6814 |
| 167, 3407 |
∴ So the LCM of the given numbers is 2 x 167 x 3407 = 1137938
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1137938
Therefore, the GCF of Fractions 8433/334,4160/6814 is 1/1137938
Least Common Multiple of 334,6814 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 334,6814 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(334,6814) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(334,6814) x common factors =2 x 1 = 2
LCM(334,6814) = ( 334 × 6814 ) / 2
LCM(334,6814) = 2275876 / 2
LCM(334,6814) = 1137938
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FAQs on GCF of Fractions of 8433/334, 4160/6814
1. What is the HCF of 8433,4160?
The HCF of 8433,4160 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 8433/334, 4160/6814?
Answer: GCF of Numerators as per given numbers 8433/334, 4160/6814 is
GCF of Numerators i.e. for 8433,4160 is 1
LCM of denominators i.e. for 334,6814 is 1137938.
Thus, GCF of Fractions is 1/1137938.Finally, GCF of Fractions for 8433/334, 4160/6814 is 1/1137938.