GCF of 4013/715, 6792/7141
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4013/715, 6792/7141 i.e 1/5105815 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4013/715, 6792/7141.
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 4013/715,6792/7141?
Given fractions are 4013/715,6792/7141
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 4013/715,6792/7141, numerators are 4013,6792
Denominators are 715,7141
The GCF of 4013,6792 is 1 .
LCM of 715,7141 is 5105815.
The greatest common factor of 4013/715,6792/7141 = [GCF of 4013,6792]/[LCM of 715,7141]= 1/5105815
Therefore, the GCF of 4013/715,6792/7141 is 1/5105815.
To find the highest common factor of 4013,6792, we have to find the factors of both numbers and list the highest common factor.
The factors of 4013 are 1, 4013
The factors of 6792 are 1, 2, 3, 4, 6, 8, 12, 24, 283, 566, 849, 1132, 1698, 2264, 3396, 6792
The HCF of 4013,6792 is 1.
Lets's calculate GCF of 4013,6792
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4013,6792 By Matching Biggest Common Factor Method
Now, list down the factors of 4013
:1,4013
Now, list down the factors of 6792
:1,2,3,4,6,8,12,24,283,566,849,1132,1698,2264,3396,6792
Greatest Common Factor
We found the factors 4013,6792 . The biggest common factor number is the GCF number.
So the greatest common factor 4013,6792 is 1.
Lets's calculate LCM of 715,7141
Given numbers has no common factors except 1. So, there LCM is their product i.e 5105815
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5105815
Therefore, the GCF of Fractions 4013/715,6792/7141 is 1/5105815
Least Common Multiple of 715,7141 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 715,7141 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(715,7141) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(715,7141) x common factors =1 x 1 = 1
LCM(715,7141) = ( 715 × 7141 ) / 1
LCM(715,7141) = 5105815 / 1
LCM(715,7141) = 5105815
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FAQs on GCF of Fractions of 4013/715, 6792/7141
1. What is the HCF of 4013,6792?
The HCF of 4013,6792 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 4013/715, 6792/7141?
Answer: GCF of Numerators as per given numbers 4013/715, 6792/7141 is
GCF of Numerators i.e. for 4013,6792 is 1
LCM of denominators i.e. for 715,7141 is 5105815.
Thus, GCF of Fractions is 1/5105815.Finally, GCF of Fractions for 4013/715, 6792/7141 is 1/5105815.