GCF of 5915/889, 4654/5134
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5915/889, 4654/5134 i.e 13/4564126 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5915/889, 4654/5134.
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 5915/889,4654/5134?
Given fractions are 5915/889,4654/5134
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 5915/889,4654/5134, numerators are 5915,4654
Denominators are 889,5134
The GCF of 5915,4654 is 13 .
LCM of 889,5134 is 4564126.
The greatest common factor of 5915/889,4654/5134 = [GCF of 5915,4654]/[LCM of 889,5134]= 13/4564126
Therefore, the GCF of 5915/889,4654/5134 is 13/4564126.
To find the highest common factor of 5915,4654, we have to find the factors of both numbers and list the highest common factor.
The factors of 5915 are 1, 5, 7, 13, 35, 65, 91, 169, 455, 845, 1183, 5915
The factors of 4654 are 1, 2, 13, 26, 179, 358, 2327, 4654
The HCF of 5915,4654 is 13.
Lets's calculate GCF of 5915,4654
| 13 | 5915, 4654 |
| 455, 358 |
∴ So the GCF of the given numbers is 13 = 13
Greatest Common Factor of 5915,4654 By Matching Biggest Common Factor Method
Now, list down the factors of 5915
:1,5,7,13,35,65,91,169,455,845,1183,5915
Now, list down the factors of 4654
:1,2,13,26,179,358,2327,4654
Greatest Common Factor
We found the factors 5915,4654 . The biggest common factor number is the GCF number.
So the greatest common factor 5915,4654 is 13.
Lets's calculate LCM of 889,5134
Given numbers has no common factors except 1. So, there LCM is their product i.e 4564126
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 13/4564126
Therefore, the GCF of Fractions 5915/889,4654/5134 is 13/4564126
Least Common Multiple of 889,5134 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 889,5134 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(889,5134) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(889,5134) x common factors =1 x 1 = 1
LCM(889,5134) = ( 889 × 5134 ) / 1
LCM(889,5134) = 4564126 / 1
LCM(889,5134) = 4564126
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FAQs on GCF of Fractions of 5915/889, 4654/5134
1. What is the HCF of 5915,4654?
The HCF of 5915,4654 is 13
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 5915/889, 4654/5134?
Answer: GCF of Numerators as per given numbers 5915/889, 4654/5134 is
GCF of Numerators i.e. for 5915,4654 is 13
LCM of denominators i.e. for 889,5134 is 4564126.
Thus, GCF of Fractions is 13/4564126.Finally, GCF of Fractions for 5915/889, 4654/5134 is 13/4564126.