GCF of 7510/859, 8310/2037
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7510/859, 8310/2037 i.e 10/1749783 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7510/859, 8310/2037.
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 7510/859,8310/2037?
Given fractions are 7510/859,8310/2037
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 7510/859,8310/2037, numerators are 7510,8310
Denominators are 859,2037
The GCF of 7510,8310 is 10 .
LCM of 859,2037 is 1749783.
The greatest common factor of 7510/859,8310/2037 = [GCF of 7510,8310]/[LCM of 859,2037]= 10/1749783
Therefore, the GCF of 7510/859,8310/2037 is 10/1749783.
To find the highest common factor of 7510,8310, we have to find the factors of both numbers and list the highest common factor.
The factors of 7510 are 1, 2, 5, 10, 751, 1502, 3755, 7510
The factors of 8310 are 1, 2, 3, 5, 6, 10, 15, 30, 277, 554, 831, 1385, 1662, 2770, 4155, 8310
The HCF of 7510,8310 is 10.
Lets's calculate GCF of 7510,8310
| 2 | 7510, 8310 |
| 5 | 3755, 4155 |
| 751, 831 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 7510,8310 By Matching Biggest Common Factor Method
Now, list down the factors of 7510
:1,2,5,10,751,1502,3755,7510
Now, list down the factors of 8310
:1,2,3,5,6,10,15,30,277,554,831,1385,1662,2770,4155,8310
Greatest Common Factor
We found the factors 7510,8310 . The biggest common factor number is the GCF number.
So the greatest common factor 7510,8310 is 10.
Lets's calculate LCM of 859,2037
Given numbers has no common factors except 1. So, there LCM is their product i.e 1749783
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/1749783
Therefore, the GCF of Fractions 7510/859,8310/2037 is 10/1749783
Least Common Multiple of 859,2037 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 859,2037 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(859,2037) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(859,2037) x common factors =1 x 1 = 1
LCM(859,2037) = ( 859 × 2037 ) / 1
LCM(859,2037) = 1749783 / 1
LCM(859,2037) = 1749783
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FAQs on GCF of Fractions of 7510/859, 8310/2037
1. What is the HCF of 7510,8310?
The HCF of 7510,8310 is 10
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 7510/859, 8310/2037?
Answer: GCF of Numerators as per given numbers 7510/859, 8310/2037 is
GCF of Numerators i.e. for 7510,8310 is 10
LCM of denominators i.e. for 859,2037 is 1749783.
Thus, GCF of Fractions is 10/1749783.Finally, GCF of Fractions for 7510/859, 8310/2037 is 10/1749783.