GCF of 8864/608, 3813/7739
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8864/608, 3813/7739 i.e 1/4705312 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8864/608, 3813/7739.
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 8864/608,3813/7739?
Given fractions are 8864/608,3813/7739
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 8864/608,3813/7739, numerators are 8864,3813
Denominators are 608,7739
The GCF of 8864,3813 is 1 .
LCM of 608,7739 is 4705312.
The greatest common factor of 8864/608,3813/7739 = [GCF of 8864,3813]/[LCM of 608,7739]= 1/4705312
Therefore, the GCF of 8864/608,3813/7739 is 1/4705312.
To find the highest common factor of 8864,3813, we have to find the factors of both numbers and list the highest common factor.
The factors of 8864 are 1, 2, 4, 8, 16, 32, 277, 554, 1108, 2216, 4432, 8864
The factors of 3813 are 1, 3, 31, 41, 93, 123, 1271, 3813
The HCF of 8864,3813 is 1.
Lets's calculate GCF of 8864,3813
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8864,3813 By Matching Biggest Common Factor Method
Now, list down the factors of 8864
:1,2,4,8,16,32,277,554,1108,2216,4432,8864
Now, list down the factors of 3813
:1,3,31,41,93,123,1271,3813
Greatest Common Factor
We found the factors 8864,3813 . The biggest common factor number is the GCF number.
So the greatest common factor 8864,3813 is 1.
Lets's calculate LCM of 608,7739
Given numbers has no common factors except 1. So, there LCM is their product i.e 4705312
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4705312
Therefore, the GCF of Fractions 8864/608,3813/7739 is 1/4705312
Least Common Multiple of 608,7739 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 608,7739 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,7739) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(608,7739) x common factors =1 x 1 = 1
LCM(608,7739) = ( 608 × 7739 ) / 1
LCM(608,7739) = 4705312 / 1
LCM(608,7739) = 4705312
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FAQs on GCF of Fractions of 8864/608, 3813/7739
1. What is the HCF of 8864,3813?
The HCF of 8864,3813 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 8864/608, 3813/7739?
Answer: GCF of Numerators as per given numbers 8864/608, 3813/7739 is
GCF of Numerators i.e. for 8864,3813 is 1
LCM of denominators i.e. for 608,7739 is 4705312.
Thus, GCF of Fractions is 1/4705312.Finally, GCF of Fractions for 8864/608, 3813/7739 is 1/4705312.