GCF of 8809/869, 3614/120
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8809/869, 3614/120 i.e 1/104280 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8809/869, 3614/120.
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 8809/869,3614/120?
Given fractions are 8809/869,3614/120
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 8809/869,3614/120, numerators are 8809,3614
Denominators are 869,120
The GCF of 8809,3614 is 1 .
LCM of 869,120 is 104280.
The greatest common factor of 8809/869,3614/120 = [GCF of 8809,3614]/[LCM of 869,120]= 1/104280
Therefore, the GCF of 8809/869,3614/120 is 1/104280.
To find the highest common factor of 8809,3614, we have to find the factors of both numbers and list the highest common factor.
The factors of 8809 are 1, 23, 383, 8809
The factors of 3614 are 1, 2, 13, 26, 139, 278, 1807, 3614
The HCF of 8809,3614 is 1.
Lets's calculate GCF of 8809,3614
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8809,3614 By Matching Biggest Common Factor Method
Now, list down the factors of 8809
:1,23,383,8809
Now, list down the factors of 3614
:1,2,13,26,139,278,1807,3614
Greatest Common Factor
We found the factors 8809,3614 . The biggest common factor number is the GCF number.
So the greatest common factor 8809,3614 is 1.
Lets's calculate LCM of 869,120
Given numbers has no common factors except 1. So, there LCM is their product i.e 104280
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/104280
Therefore, the GCF of Fractions 8809/869,3614/120 is 1/104280
Least Common Multiple of 869,120 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 869,120 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(869,120) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(869,120) x common factors =1 x 1 = 1
LCM(869,120) = ( 869 × 120 ) / 1
LCM(869,120) = 104280 / 1
LCM(869,120) = 104280
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FAQs on GCF of Fractions of 8809/869, 3614/120
1. What is the HCF of 8809,3614?
The HCF of 8809,3614 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 8809/869, 3614/120?
Answer: GCF of Numerators as per given numbers 8809/869, 3614/120 is
GCF of Numerators i.e. for 8809,3614 is 1
LCM of denominators i.e. for 869,120 is 104280.
Thus, GCF of Fractions is 1/104280.Finally, GCF of Fractions for 8809/869, 3614/120 is 1/104280.