GCF of 5168/217, 9907/2139
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5168/217, 9907/2139 i.e 1/14973 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5168/217, 9907/2139.
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 5168/217,9907/2139?
Given fractions are 5168/217,9907/2139
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 5168/217,9907/2139, numerators are 5168,9907
Denominators are 217,2139
The GCF of 5168,9907 is 1 .
LCM of 217,2139 is 14973.
The greatest common factor of 5168/217,9907/2139 = [GCF of 5168,9907]/[LCM of 217,2139]= 1/14973
Therefore, the GCF of 5168/217,9907/2139 is 1/14973.
To find the highest common factor of 5168,9907, we have to find the factors of both numbers and list the highest common factor.
The factors of 5168 are 1, 2, 4, 8, 16, 17, 19, 34, 38, 68, 76, 136, 152, 272, 304, 323, 646, 1292, 2584, 5168
The factors of 9907 are 1, 9907
The HCF of 5168,9907 is 1.
Lets's calculate GCF of 5168,9907
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5168,9907 By Matching Biggest Common Factor Method
Now, list down the factors of 5168
:1,2,4,8,16,17,19,34,38,68,76,136,152,272,304,323,646,1292,2584,5168
Now, list down the factors of 9907
:1,9907
Greatest Common Factor
We found the factors 5168,9907 . The biggest common factor number is the GCF number.
So the greatest common factor 5168,9907 is 1.
Lets's calculate LCM of 217,2139
| 31 | 217, 2139 |
| 7, 69 |
∴ So the LCM of the given numbers is 31 x 7 x 69 = 14973
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/14973
Therefore, the GCF of Fractions 5168/217,9907/2139 is 1/14973
Least Common Multiple of 217,2139 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 217,2139 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(217,2139) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(217,2139) x common factors =31 x 1 = 31
LCM(217,2139) = ( 217 × 2139 ) / 31
LCM(217,2139) = 464163 / 31
LCM(217,2139) = 14973
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FAQs on GCF of Fractions of 5168/217, 9907/2139
1. What is the HCF of 5168,9907?
The HCF of 5168,9907 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 5168/217, 9907/2139?
Answer: GCF of Numerators as per given numbers 5168/217, 9907/2139 is
GCF of Numerators i.e. for 5168,9907 is 1
LCM of denominators i.e. for 217,2139 is 14973.
Thus, GCF of Fractions is 1/14973.Finally, GCF of Fractions for 5168/217, 9907/2139 is 1/14973.