GCF of 5519/863, 8774/3995
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5519/863, 8774/3995 i.e 1/3447685 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5519/863, 8774/3995.
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 5519/863,8774/3995?
Given fractions are 5519/863,8774/3995
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 5519/863,8774/3995, numerators are 5519,8774
Denominators are 863,3995
The GCF of 5519,8774 is 1 .
LCM of 863,3995 is 3447685.
The greatest common factor of 5519/863,8774/3995 = [GCF of 5519,8774]/[LCM of 863,3995]= 1/3447685
Therefore, the GCF of 5519/863,8774/3995 is 1/3447685.
To find the highest common factor of 5519,8774, we have to find the factors of both numbers and list the highest common factor.
The factors of 5519 are 1, 5519
The factors of 8774 are 1, 2, 41, 82, 107, 214, 4387, 8774
The HCF of 5519,8774 is 1.
Lets's calculate GCF of 5519,8774
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5519,8774 By Matching Biggest Common Factor Method
Now, list down the factors of 5519
:1,5519
Now, list down the factors of 8774
:1,2,41,82,107,214,4387,8774
Greatest Common Factor
We found the factors 5519,8774 . The biggest common factor number is the GCF number.
So the greatest common factor 5519,8774 is 1.
Lets's calculate LCM of 863,3995
Given numbers has no common factors except 1. So, there LCM is their product i.e 3447685
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3447685
Therefore, the GCF of Fractions 5519/863,8774/3995 is 1/3447685
Least Common Multiple of 863,3995 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 863,3995 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(863,3995) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(863,3995) x common factors =1 x 1 = 1
LCM(863,3995) = ( 863 × 3995 ) / 1
LCM(863,3995) = 3447685 / 1
LCM(863,3995) = 3447685
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FAQs on GCF of Fractions of 5519/863, 8774/3995
1. What is the HCF of 5519,8774?
The HCF of 5519,8774 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 5519/863, 8774/3995?
Answer: GCF of Numerators as per given numbers 5519/863, 8774/3995 is
GCF of Numerators i.e. for 5519,8774 is 1
LCM of denominators i.e. for 863,3995 is 3447685.
Thus, GCF of Fractions is 1/3447685.Finally, GCF of Fractions for 5519/863, 8774/3995 is 1/3447685.