GCF of 3845/860, 5617/1693
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3845/860, 5617/1693 i.e 1/1455980 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3845/860, 5617/1693.
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 3845/860,5617/1693?
Given fractions are 3845/860,5617/1693
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 3845/860,5617/1693, numerators are 3845,5617
Denominators are 860,1693
The GCF of 3845,5617 is 1 .
LCM of 860,1693 is 1455980.
The greatest common factor of 3845/860,5617/1693 = [GCF of 3845,5617]/[LCM of 860,1693]= 1/1455980
Therefore, the GCF of 3845/860,5617/1693 is 1/1455980.
To find the highest common factor of 3845,5617, we have to find the factors of both numbers and list the highest common factor.
The factors of 3845 are 1, 5, 769, 3845
The factors of 5617 are 1, 41, 137, 5617
The HCF of 3845,5617 is 1.
Lets's calculate GCF of 3845,5617
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 3845,5617 By Matching Biggest Common Factor Method
Now, list down the factors of 3845
:1,5,769,3845
Now, list down the factors of 5617
:1,41,137,5617
Greatest Common Factor
We found the factors 3845,5617 . The biggest common factor number is the GCF number.
So the greatest common factor 3845,5617 is 1.
Lets's calculate LCM of 860,1693
Given numbers has no common factors except 1. So, there LCM is their product i.e 1455980
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1455980
Therefore, the GCF of Fractions 3845/860,5617/1693 is 1/1455980
Least Common Multiple of 860,1693 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 860,1693 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(860,1693) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(860,1693) x common factors =1 x 1 = 1
LCM(860,1693) = ( 860 × 1693 ) / 1
LCM(860,1693) = 1455980 / 1
LCM(860,1693) = 1455980
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FAQs on GCF of Fractions of 3845/860, 5617/1693
1. What is the HCF of 3845,5617?
The HCF of 3845,5617 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 3845/860, 5617/1693?
Answer: GCF of Numerators as per given numbers 3845/860, 5617/1693 is
GCF of Numerators i.e. for 3845,5617 is 1
LCM of denominators i.e. for 860,1693 is 1455980.
Thus, GCF of Fractions is 1/1455980.Finally, GCF of Fractions for 3845/860, 5617/1693 is 1/1455980.