GCF of 2845/593, 7838/8521
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2845/593, 7838/8521 i.e 1/5052953 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2845/593, 7838/8521.
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 2845/593,7838/8521?
Given fractions are 2845/593,7838/8521
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 2845/593,7838/8521, numerators are 2845,7838
Denominators are 593,8521
The GCF of 2845,7838 is 1 .
LCM of 593,8521 is 5052953.
The greatest common factor of 2845/593,7838/8521 = [GCF of 2845,7838]/[LCM of 593,8521]= 1/5052953
Therefore, the GCF of 2845/593,7838/8521 is 1/5052953.
To find the highest common factor of 2845,7838, we have to find the factors of both numbers and list the highest common factor.
The factors of 2845 are 1, 5, 569, 2845
The factors of 7838 are 1, 2, 3919, 7838
The HCF of 2845,7838 is 1.
Lets's calculate GCF of 2845,7838
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2845,7838 By Matching Biggest Common Factor Method
Now, list down the factors of 2845
:1,5,569,2845
Now, list down the factors of 7838
:1,2,3919,7838
Greatest Common Factor
We found the factors 2845,7838 . The biggest common factor number is the GCF number.
So the greatest common factor 2845,7838 is 1.
Lets's calculate LCM of 593,8521
Given numbers has no common factors except 1. So, there LCM is their product i.e 5052953
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5052953
Therefore, the GCF of Fractions 2845/593,7838/8521 is 1/5052953
Least Common Multiple of 593,8521 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 593,8521 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(593,8521) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(593,8521) x common factors =1 x 1 = 1
LCM(593,8521) = ( 593 × 8521 ) / 1
LCM(593,8521) = 5052953 / 1
LCM(593,8521) = 5052953
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FAQs on GCF of Fractions of 2845/593, 7838/8521
1. What is the HCF of 2845,7838?
The HCF of 2845,7838 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 2845/593, 7838/8521?
Answer: GCF of Numerators as per given numbers 2845/593, 7838/8521 is
GCF of Numerators i.e. for 2845,7838 is 1
LCM of denominators i.e. for 593,8521 is 5052953.
Thus, GCF of Fractions is 1/5052953.Finally, GCF of Fractions for 2845/593, 7838/8521 is 1/5052953.