GCF of 3510/520, 2085/7872
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3510/520, 2085/7872 i.e 15/511680 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3510/520, 2085/7872.
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 3510/520,2085/7872?
Given fractions are 3510/520,2085/7872
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 3510/520,2085/7872, numerators are 3510,2085
Denominators are 520,7872
The GCF of 3510,2085 is 15 .
LCM of 520,7872 is 511680.
The greatest common factor of 3510/520,2085/7872 = [GCF of 3510,2085]/[LCM of 520,7872]= 15/511680
Therefore, the GCF of 3510/520,2085/7872 is 15/511680.
To find the highest common factor of 3510,2085, we have to find the factors of both numbers and list the highest common factor.
The factors of 3510 are 1, 2, 3, 5, 6, 9, 10, 13, 15, 18, 26, 27, 30, 39, 45, 54, 65, 78, 90, 117, 130, 135, 195, 234, 270, 351, 390, 585, 702, 1170, 1755, 3510
The factors of 2085 are 1, 3, 5, 15, 139, 417, 695, 2085
The HCF of 3510,2085 is 15.
Lets's calculate GCF of 3510,2085
| 3 | 3510, 2085 |
| 5 | 1170, 695 |
| 234, 139 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 3510,2085 By Matching Biggest Common Factor Method
Now, list down the factors of 3510
:1,2,3,5,6,9,10,13,15,18,26,27,30,39,45,54,65,78,90,117,130,135,195,234,270,351,390,585,702,1170,1755,3510
Now, list down the factors of 2085
:1,3,5,15,139,417,695,2085
Greatest Common Factor
We found the factors 3510,2085 . The biggest common factor number is the GCF number.
So the greatest common factor 3510,2085 is 15.
Lets's calculate LCM of 520,7872
| 2 | 520, 7872 |
| 2 | 260, 3936 |
| 2 | 130, 1968 |
| 65, 984 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 65 x 984 = 511680
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/511680
Therefore, the GCF of Fractions 3510/520,2085/7872 is 15/511680
Least Common Multiple of 520,7872 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 520,7872 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(520,7872) = 8
common factors(in case of two or more numbers have common factors) = 1
GCF(520,7872) x common factors =8 x 1 = 8
LCM(520,7872) = ( 520 × 7872 ) / 8
LCM(520,7872) = 4093440 / 8
LCM(520,7872) = 511680
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FAQs on GCF of Fractions of 3510/520, 2085/7872
1. What is the HCF of 3510,2085?
The HCF of 3510,2085 is 15
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 3510/520, 2085/7872?
Answer: GCF of Numerators as per given numbers 3510/520, 2085/7872 is
GCF of Numerators i.e. for 3510,2085 is 15
LCM of denominators i.e. for 520,7872 is 511680.
Thus, GCF of Fractions is 15/511680.Finally, GCF of Fractions for 3510/520, 2085/7872 is 15/511680.