GCF of 8079/104, 4628/385
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8079/104, 4628/385 i.e 1/40040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8079/104, 4628/385.
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 8079/104,4628/385?
Given fractions are 8079/104,4628/385
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 8079/104,4628/385, numerators are 8079,4628
Denominators are 104,385
The GCF of 8079,4628 is 1 .
LCM of 104,385 is 40040.
The greatest common factor of 8079/104,4628/385 = [GCF of 8079,4628]/[LCM of 104,385]= 1/40040
Therefore, the GCF of 8079/104,4628/385 is 1/40040.
To find the highest common factor of 8079,4628, we have to find the factors of both numbers and list the highest common factor.
The factors of 8079 are 1, 3, 2693, 8079
The factors of 4628 are 1, 2, 4, 13, 26, 52, 89, 178, 356, 1157, 2314, 4628
The HCF of 8079,4628 is 1.
Lets's calculate GCF of 8079,4628
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8079,4628 By Matching Biggest Common Factor Method
Now, list down the factors of 8079
:1,3,2693,8079
Now, list down the factors of 4628
:1,2,4,13,26,52,89,178,356,1157,2314,4628
Greatest Common Factor
We found the factors 8079,4628 . The biggest common factor number is the GCF number.
So the greatest common factor 8079,4628 is 1.
Lets's calculate LCM of 104,385
Given numbers has no common factors except 1. So, there LCM is their product i.e 40040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40040
Therefore, the GCF of Fractions 8079/104,4628/385 is 1/40040
Least Common Multiple of 104,385 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 104,385 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(104,385) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(104,385) x common factors =1 x 1 = 1
LCM(104,385) = ( 104 × 385 ) / 1
LCM(104,385) = 40040 / 1
LCM(104,385) = 40040
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FAQs on GCF of Fractions of 8079/104, 4628/385
1. What is the HCF of 8079,4628?
The HCF of 8079,4628 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 8079/104, 4628/385?
Answer: GCF of Numerators as per given numbers 8079/104, 4628/385 is
GCF of Numerators i.e. for 8079,4628 is 1
LCM of denominators i.e. for 104,385 is 40040.
Thus, GCF of Fractions is 1/40040.Finally, GCF of Fractions for 8079/104, 4628/385 is 1/40040.