GCF of 8795/438, 3468/241
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8795/438, 3468/241 i.e 1/105558 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8795/438, 3468/241.
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 8795/438,3468/241?
Given fractions are 8795/438,3468/241
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 8795/438,3468/241, numerators are 8795,3468
Denominators are 438,241
The GCF of 8795,3468 is 1 .
LCM of 438,241 is 105558.
The greatest common factor of 8795/438,3468/241 = [GCF of 8795,3468]/[LCM of 438,241]= 1/105558
Therefore, the GCF of 8795/438,3468/241 is 1/105558.
To find the highest common factor of 8795,3468, we have to find the factors of both numbers and list the highest common factor.
The factors of 8795 are 1, 5, 1759, 8795
The factors of 3468 are 1, 2, 3, 4, 6, 12, 17, 34, 51, 68, 102, 204, 289, 578, 867, 1156, 1734, 3468
The HCF of 8795,3468 is 1.
Lets's calculate GCF of 8795,3468
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8795,3468 By Matching Biggest Common Factor Method
Now, list down the factors of 8795
:1,5,1759,8795
Now, list down the factors of 3468
:1,2,3,4,6,12,17,34,51,68,102,204,289,578,867,1156,1734,3468
Greatest Common Factor
We found the factors 8795,3468 . The biggest common factor number is the GCF number.
So the greatest common factor 8795,3468 is 1.
Lets's calculate LCM of 438,241
Given numbers has no common factors except 1. So, there LCM is their product i.e 105558
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/105558
Therefore, the GCF of Fractions 8795/438,3468/241 is 1/105558
Least Common Multiple of 438,241 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 438,241 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(438,241) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(438,241) x common factors =1 x 1 = 1
LCM(438,241) = ( 438 × 241 ) / 1
LCM(438,241) = 105558 / 1
LCM(438,241) = 105558
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FAQs on GCF of Fractions of 8795/438, 3468/241
1. What is the HCF of 8795,3468?
The HCF of 8795,3468 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 8795/438, 3468/241?
Answer: GCF of Numerators as per given numbers 8795/438, 3468/241 is
GCF of Numerators i.e. for 8795,3468 is 1
LCM of denominators i.e. for 438,241 is 105558.
Thus, GCF of Fractions is 1/105558.Finally, GCF of Fractions for 8795/438, 3468/241 is 1/105558.