GCF of 5020/975, 8065/5214
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5020/975, 8065/5214 i.e 5/1694550 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5020/975, 8065/5214.
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 5020/975,8065/5214?
Given fractions are 5020/975,8065/5214
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 5020/975,8065/5214, numerators are 5020,8065
Denominators are 975,5214
The GCF of 5020,8065 is 5 .
LCM of 975,5214 is 1694550.
The greatest common factor of 5020/975,8065/5214 = [GCF of 5020,8065]/[LCM of 975,5214]= 5/1694550
Therefore, the GCF of 5020/975,8065/5214 is 5/1694550.
To find the highest common factor of 5020,8065, we have to find the factors of both numbers and list the highest common factor.
The factors of 5020 are 1, 2, 4, 5, 10, 20, 251, 502, 1004, 1255, 2510, 5020
The factors of 8065 are 1, 5, 1613, 8065
The HCF of 5020,8065 is 5.
Lets's calculate GCF of 5020,8065
| 5 | 5020, 8065 |
| 1004, 1613 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 5020,8065 By Matching Biggest Common Factor Method
Now, list down the factors of 5020
:1,2,4,5,10,20,251,502,1004,1255,2510,5020
Now, list down the factors of 8065
:1,5,1613,8065
Greatest Common Factor
We found the factors 5020,8065 . The biggest common factor number is the GCF number.
So the greatest common factor 5020,8065 is 5.
Lets's calculate LCM of 975,5214
| 3 | 975, 5214 |
| 325, 1738 |
∴ So the LCM of the given numbers is 3 x 325 x 1738 = 1694550
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1694550
Therefore, the GCF of Fractions 5020/975,8065/5214 is 5/1694550
Least Common Multiple of 975,5214 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 975,5214 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(975,5214) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(975,5214) x common factors =3 x 1 = 3
LCM(975,5214) = ( 975 × 5214 ) / 3
LCM(975,5214) = 5083650 / 3
LCM(975,5214) = 1694550
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FAQs on GCF of Fractions of 5020/975, 8065/5214
1. What is the HCF of 5020,8065?
The HCF of 5020,8065 is 5
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 5020/975, 8065/5214?
Answer: GCF of Numerators as per given numbers 5020/975, 8065/5214 is
GCF of Numerators i.e. for 5020,8065 is 5
LCM of denominators i.e. for 975,5214 is 1694550.
Thus, GCF of Fractions is 5/1694550.Finally, GCF of Fractions for 5020/975, 8065/5214 is 5/1694550.