GCF of 1683/910, 5159/8017
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1683/910, 5159/8017 i.e 11/7295470 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1683/910, 5159/8017.
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 1683/910,5159/8017?
Given fractions are 1683/910,5159/8017
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 1683/910,5159/8017, numerators are 1683,5159
Denominators are 910,8017
The GCF of 1683,5159 is 11 .
LCM of 910,8017 is 7295470.
The greatest common factor of 1683/910,5159/8017 = [GCF of 1683,5159]/[LCM of 910,8017]= 11/7295470
Therefore, the GCF of 1683/910,5159/8017 is 11/7295470.
To find the highest common factor of 1683,5159, we have to find the factors of both numbers and list the highest common factor.
The factors of 1683 are 1, 3, 9, 11, 17, 33, 51, 99, 153, 187, 561, 1683
The factors of 5159 are 1, 7, 11, 67, 77, 469, 737, 5159
The HCF of 1683,5159 is 11.
Lets's calculate GCF of 1683,5159
| 11 | 1683, 5159 |
| 153, 469 |
∴ So the GCF of the given numbers is 11 = 11
Greatest Common Factor of 1683,5159 By Matching Biggest Common Factor Method
Now, list down the factors of 1683
:1,3,9,11,17,33,51,99,153,187,561,1683
Now, list down the factors of 5159
:1,7,11,67,77,469,737,5159
Greatest Common Factor
We found the factors 1683,5159 . The biggest common factor number is the GCF number.
So the greatest common factor 1683,5159 is 11.
Lets's calculate LCM of 910,8017
Given numbers has no common factors except 1. So, there LCM is their product i.e 7295470
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 11/7295470
Therefore, the GCF of Fractions 1683/910,5159/8017 is 11/7295470
Least Common Multiple of 910,8017 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 910,8017 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(910,8017) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(910,8017) x common factors =1 x 1 = 1
LCM(910,8017) = ( 910 × 8017 ) / 1
LCM(910,8017) = 7295470 / 1
LCM(910,8017) = 7295470
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FAQs on GCF of Fractions of 1683/910, 5159/8017
1. What is the HCF of 1683,5159?
The HCF of 1683,5159 is 11
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 1683/910, 5159/8017?
Answer: GCF of Numerators as per given numbers 1683/910, 5159/8017 is
GCF of Numerators i.e. for 1683,5159 is 11
LCM of denominators i.e. for 910,8017 is 7295470.
Thus, GCF of Fractions is 11/7295470.Finally, GCF of Fractions for 1683/910, 5159/8017 is 11/7295470.