GCF of 4985/607, 3504/8720
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4985/607, 3504/8720 i.e 1/5293040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4985/607, 3504/8720.
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 4985/607,3504/8720?
Given fractions are 4985/607,3504/8720
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 4985/607,3504/8720, numerators are 4985,3504
Denominators are 607,8720
The GCF of 4985,3504 is 1 .
LCM of 607,8720 is 5293040.
The greatest common factor of 4985/607,3504/8720 = [GCF of 4985,3504]/[LCM of 607,8720]= 1/5293040
Therefore, the GCF of 4985/607,3504/8720 is 1/5293040.
To find the highest common factor of 4985,3504, we have to find the factors of both numbers and list the highest common factor.
The factors of 4985 are 1, 5, 997, 4985
The factors of 3504 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 73, 146, 219, 292, 438, 584, 876, 1168, 1752, 3504
The HCF of 4985,3504 is 1.
Lets's calculate GCF of 4985,3504
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4985,3504 By Matching Biggest Common Factor Method
Now, list down the factors of 4985
:1,5,997,4985
Now, list down the factors of 3504
:1,2,3,4,6,8,12,16,24,48,73,146,219,292,438,584,876,1168,1752,3504
Greatest Common Factor
We found the factors 4985,3504 . The biggest common factor number is the GCF number.
So the greatest common factor 4985,3504 is 1.
Lets's calculate LCM of 607,8720
Given numbers has no common factors except 1. So, there LCM is their product i.e 5293040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/5293040
Therefore, the GCF of Fractions 4985/607,3504/8720 is 1/5293040
Least Common Multiple of 607,8720 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 607,8720 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(607,8720) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(607,8720) x common factors =1 x 1 = 1
LCM(607,8720) = ( 607 × 8720 ) / 1
LCM(607,8720) = 5293040 / 1
LCM(607,8720) = 5293040
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FAQs on GCF of Fractions of 4985/607, 3504/8720
1. What is the HCF of 4985,3504?
The HCF of 4985,3504 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 4985/607, 3504/8720?
Answer: GCF of Numerators as per given numbers 4985/607, 3504/8720 is
GCF of Numerators i.e. for 4985,3504 is 1
LCM of denominators i.e. for 607,8720 is 5293040.
Thus, GCF of Fractions is 1/5293040.Finally, GCF of Fractions for 4985/607, 3504/8720 is 1/5293040.