GCF of 2375/727, 8418/1857
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2375/727, 8418/1857 i.e 1/1350039 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2375/727, 8418/1857.
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 2375/727,8418/1857?
Given fractions are 2375/727,8418/1857
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 2375/727,8418/1857, numerators are 2375,8418
Denominators are 727,1857
The GCF of 2375,8418 is 1 .
LCM of 727,1857 is 1350039.
The greatest common factor of 2375/727,8418/1857 = [GCF of 2375,8418]/[LCM of 727,1857]= 1/1350039
Therefore, the GCF of 2375/727,8418/1857 is 1/1350039.
To find the highest common factor of 2375,8418, we have to find the factors of both numbers and list the highest common factor.
The factors of 2375 are 1, 5, 19, 25, 95, 125, 475, 2375
The factors of 8418 are 1, 2, 3, 6, 23, 46, 61, 69, 122, 138, 183, 366, 1403, 2806, 4209, 8418
The HCF of 2375,8418 is 1.
Lets's calculate GCF of 2375,8418
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2375,8418 By Matching Biggest Common Factor Method
Now, list down the factors of 2375
:1,5,19,25,95,125,475,2375
Now, list down the factors of 8418
:1,2,3,6,23,46,61,69,122,138,183,366,1403,2806,4209,8418
Greatest Common Factor
We found the factors 2375,8418 . The biggest common factor number is the GCF number.
So the greatest common factor 2375,8418 is 1.
Lets's calculate LCM of 727,1857
Given numbers has no common factors except 1. So, there LCM is their product i.e 1350039
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1350039
Therefore, the GCF of Fractions 2375/727,8418/1857 is 1/1350039
Least Common Multiple of 727,1857 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 727,1857 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(727,1857) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(727,1857) x common factors =1 x 1 = 1
LCM(727,1857) = ( 727 × 1857 ) / 1
LCM(727,1857) = 1350039 / 1
LCM(727,1857) = 1350039
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FAQs on GCF of Fractions of 2375/727, 8418/1857
1. What is the HCF of 2375,8418?
The HCF of 2375,8418 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 2375/727, 8418/1857?
Answer: GCF of Numerators as per given numbers 2375/727, 8418/1857 is
GCF of Numerators i.e. for 2375,8418 is 1
LCM of denominators i.e. for 727,1857 is 1350039.
Thus, GCF of Fractions is 1/1350039.Finally, GCF of Fractions for 2375/727, 8418/1857 is 1/1350039.