GCF of 5151/620, 5015/5310
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5151/620, 5015/5310 i.e 17/329220 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5151/620, 5015/5310.
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 5151/620,5015/5310?
Given fractions are 5151/620,5015/5310
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 5151/620,5015/5310, numerators are 5151,5015
Denominators are 620,5310
The GCF of 5151,5015 is 17 .
LCM of 620,5310 is 329220.
The greatest common factor of 5151/620,5015/5310 = [GCF of 5151,5015]/[LCM of 620,5310]= 17/329220
Therefore, the GCF of 5151/620,5015/5310 is 17/329220.
To find the highest common factor of 5151,5015, we have to find the factors of both numbers and list the highest common factor.
The factors of 5151 are 1, 3, 17, 51, 101, 303, 1717, 5151
The factors of 5015 are 1, 5, 17, 59, 85, 295, 1003, 5015
The HCF of 5151,5015 is 17.
Lets's calculate GCF of 5151,5015
| 17 | 5151, 5015 |
| 303, 295 |
∴ So the GCF of the given numbers is 17 = 17
Greatest Common Factor of 5151,5015 By Matching Biggest Common Factor Method
Now, list down the factors of 5151
:1,3,17,51,101,303,1717,5151
Now, list down the factors of 5015
:1,5,17,59,85,295,1003,5015
Greatest Common Factor
We found the factors 5151,5015 . The biggest common factor number is the GCF number.
So the greatest common factor 5151,5015 is 17.
Lets's calculate LCM of 620,5310
| 2 | 620, 5310 |
| 5 | 310, 2655 |
| 62, 531 |
∴ So the LCM of the given numbers is 2 x 5 x 62 x 531 = 329220
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 17/329220
Therefore, the GCF of Fractions 5151/620,5015/5310 is 17/329220
Least Common Multiple of 620,5310 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 620,5310 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(620,5310) = 10
common factors(in case of two or more numbers have common factors) = 1
GCF(620,5310) x common factors =10 x 1 = 10
LCM(620,5310) = ( 620 × 5310 ) / 10
LCM(620,5310) = 3292200 / 10
LCM(620,5310) = 329220
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FAQs on GCF of Fractions of 5151/620, 5015/5310
1. What is the HCF of 5151,5015?
The HCF of 5151,5015 is 17
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 5151/620, 5015/5310?
Answer: GCF of Numerators as per given numbers 5151/620, 5015/5310 is
GCF of Numerators i.e. for 5151,5015 is 17
LCM of denominators i.e. for 620,5310 is 329220.
Thus, GCF of Fractions is 17/329220.Finally, GCF of Fractions for 5151/620, 5015/5310 is 17/329220.