GCF of 5013/119, 4177/8365
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5013/119, 4177/8365 i.e 1/142205 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5013/119, 4177/8365.
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 5013/119,4177/8365?
Given fractions are 5013/119,4177/8365
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 5013/119,4177/8365, numerators are 5013,4177
Denominators are 119,8365
The GCF of 5013,4177 is 1 .
LCM of 119,8365 is 142205.
The greatest common factor of 5013/119,4177/8365 = [GCF of 5013,4177]/[LCM of 119,8365]= 1/142205
Therefore, the GCF of 5013/119,4177/8365 is 1/142205.
To find the highest common factor of 5013,4177, we have to find the factors of both numbers and list the highest common factor.
The factors of 5013 are 1, 3, 9, 557, 1671, 5013
The factors of 4177 are 1, 4177
The HCF of 5013,4177 is 1.
Lets's calculate GCF of 5013,4177
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5013,4177 By Matching Biggest Common Factor Method
Now, list down the factors of 5013
:1,3,9,557,1671,5013
Now, list down the factors of 4177
:1,4177
Greatest Common Factor
We found the factors 5013,4177 . The biggest common factor number is the GCF number.
So the greatest common factor 5013,4177 is 1.
Lets's calculate LCM of 119,8365
| 7 | 119, 8365 |
| 17, 1195 |
∴ So the LCM of the given numbers is 7 x 17 x 1195 = 142205
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/142205
Therefore, the GCF of Fractions 5013/119,4177/8365 is 1/142205
Least Common Multiple of 119,8365 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 119,8365 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,8365) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,8365) x common factors =7 x 1 = 7
LCM(119,8365) = ( 119 × 8365 ) / 7
LCM(119,8365) = 995435 / 7
LCM(119,8365) = 142205
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FAQs on GCF of Fractions of 5013/119, 4177/8365
1. What is the HCF of 5013,4177?
The HCF of 5013,4177 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 5013/119, 4177/8365?
Answer: GCF of Numerators as per given numbers 5013/119, 4177/8365 is
GCF of Numerators i.e. for 5013,4177 is 1
LCM of denominators i.e. for 119,8365 is 142205.
Thus, GCF of Fractions is 1/142205.Finally, GCF of Fractions for 5013/119, 4177/8365 is 1/142205.