GCF of 3148/797, 4365/1503
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3148/797, 4365/1503 i.e 1/1197891 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3148/797, 4365/1503.
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 3148/797,4365/1503?
Given fractions are 3148/797,4365/1503
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 3148/797,4365/1503, numerators are 3148,4365
Denominators are 797,1503
The GCF of 3148,4365 is 1 .
LCM of 797,1503 is 1197891.
The greatest common factor of 3148/797,4365/1503 = [GCF of 3148,4365]/[LCM of 797,1503]= 1/1197891
Therefore, the GCF of 3148/797,4365/1503 is 1/1197891.
To find the highest common factor of 3148,4365, we have to find the factors of both numbers and list the highest common factor.
The factors of 3148 are 1, 2, 4, 787, 1574, 3148
The factors of 4365 are 1, 3, 5, 9, 15, 45, 97, 291, 485, 873, 1455, 4365
The HCF of 3148,4365 is 1.
Lets's calculate GCF of 3148,4365
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3148,4365 By Matching Biggest Common Factor Method
Now, list down the factors of 3148
:1,2,4,787,1574,3148
Now, list down the factors of 4365
:1,3,5,9,15,45,97,291,485,873,1455,4365
Greatest Common Factor
We found the factors 3148,4365 . The biggest common factor number is the GCF number.
So the greatest common factor 3148,4365 is 1.
Lets's calculate LCM of 797,1503
Given numbers has no common factors except 1. So, there LCM is their product i.e 1197891
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1197891
Therefore, the GCF of Fractions 3148/797,4365/1503 is 1/1197891
Least Common Multiple of 797,1503 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 797,1503 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(797,1503) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(797,1503) x common factors =1 x 1 = 1
LCM(797,1503) = ( 797 × 1503 ) / 1
LCM(797,1503) = 1197891 / 1
LCM(797,1503) = 1197891
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FAQs on GCF of Fractions of 3148/797, 4365/1503
1. What is the HCF of 3148,4365?
The HCF of 3148,4365 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 3148/797, 4365/1503?
Answer: GCF of Numerators as per given numbers 3148/797, 4365/1503 is
GCF of Numerators i.e. for 3148,4365 is 1
LCM of denominators i.e. for 797,1503 is 1197891.
Thus, GCF of Fractions is 1/1197891.Finally, GCF of Fractions for 3148/797, 4365/1503 is 1/1197891.