GCF of 7505/807, 5840/515
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7505/807, 5840/515 i.e 5/415605 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7505/807, 5840/515.
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 7505/807,5840/515?
Given fractions are 7505/807,5840/515
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 7505/807,5840/515, numerators are 7505,5840
Denominators are 807,515
The GCF of 7505,5840 is 5 .
LCM of 807,515 is 415605.
The greatest common factor of 7505/807,5840/515 = [GCF of 7505,5840]/[LCM of 807,515]= 5/415605
Therefore, the GCF of 7505/807,5840/515 is 5/415605.
To find the highest common factor of 7505,5840, we have to find the factors of both numbers and list the highest common factor.
The factors of 7505 are 1, 5, 19, 79, 95, 395, 1501, 7505
The factors of 5840 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 73, 80, 146, 292, 365, 584, 730, 1168, 1460, 2920, 5840
The HCF of 7505,5840 is 5.
Lets's calculate GCF of 7505,5840
| 5 | 7505, 5840 |
| 1501, 1168 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7505,5840 By Matching Biggest Common Factor Method
Now, list down the factors of 7505
:1,5,19,79,95,395,1501,7505
Now, list down the factors of 5840
:1,2,4,5,8,10,16,20,40,73,80,146,292,365,584,730,1168,1460,2920,5840
Greatest Common Factor
We found the factors 7505,5840 . The biggest common factor number is the GCF number.
So the greatest common factor 7505,5840 is 5.
Lets's calculate LCM of 807,515
Given numbers has no common factors except 1. So, there LCM is their product i.e 415605
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/415605
Therefore, the GCF of Fractions 7505/807,5840/515 is 5/415605
Least Common Multiple of 807,515 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 807,515 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(807,515) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(807,515) x common factors =1 x 1 = 1
LCM(807,515) = ( 807 × 515 ) / 1
LCM(807,515) = 415605 / 1
LCM(807,515) = 415605
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FAQs on GCF of Fractions of 7505/807, 5840/515
1. What is the HCF of 7505,5840?
The HCF of 7505,5840 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 7505/807, 5840/515?
Answer: GCF of Numerators as per given numbers 7505/807, 5840/515 is
GCF of Numerators i.e. for 7505,5840 is 5
LCM of denominators i.e. for 807,515 is 415605.
Thus, GCF of Fractions is 5/415605.Finally, GCF of Fractions for 7505/807, 5840/515 is 5/415605.