GCF of 4498/265, 1733/6156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4498/265, 1733/6156 i.e 1/1631340 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4498/265, 1733/6156.
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 4498/265,1733/6156?
Given fractions are 4498/265,1733/6156
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 4498/265,1733/6156, numerators are 4498,1733
Denominators are 265,6156
The GCF of 4498,1733 is 1 .
LCM of 265,6156 is 1631340.
The greatest common factor of 4498/265,1733/6156 = [GCF of 4498,1733]/[LCM of 265,6156]= 1/1631340
Therefore, the GCF of 4498/265,1733/6156 is 1/1631340.
To find the highest common factor of 4498,1733, we have to find the factors of both numbers and list the highest common factor.
The factors of 4498 are 1, 2, 13, 26, 173, 346, 2249, 4498
The factors of 1733 are 1, 1733
The HCF of 4498,1733 is 1.
Lets's calculate GCF of 4498,1733
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4498,1733 By Matching Biggest Common Factor Method
Now, list down the factors of 4498
:1,2,13,26,173,346,2249,4498
Now, list down the factors of 1733
:1,1733
Greatest Common Factor
We found the factors 4498,1733 . The biggest common factor number is the GCF number.
So the greatest common factor 4498,1733 is 1.
Lets's calculate LCM of 265,6156
Given numbers has no common factors except 1. So, there LCM is their product i.e 1631340
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1631340
Therefore, the GCF of Fractions 4498/265,1733/6156 is 1/1631340
Least Common Multiple of 265,6156 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 265,6156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(265,6156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(265,6156) x common factors =1 x 1 = 1
LCM(265,6156) = ( 265 × 6156 ) / 1
LCM(265,6156) = 1631340 / 1
LCM(265,6156) = 1631340
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FAQs on GCF of Fractions of 4498/265, 1733/6156
1. What is the HCF of 4498,1733?
The HCF of 4498,1733 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 4498/265, 1733/6156?
Answer: GCF of Numerators as per given numbers 4498/265, 1733/6156 is
GCF of Numerators i.e. for 4498,1733 is 1
LCM of denominators i.e. for 265,6156 is 1631340.
Thus, GCF of Fractions is 1/1631340.Finally, GCF of Fractions for 4498/265, 1733/6156 is 1/1631340.