GCF of 3507/519, 3510/7749
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3507/519, 3510/7749 i.e 3/1340577 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3507/519, 3510/7749.
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 3507/519,3510/7749?
Given fractions are 3507/519,3510/7749
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 3507/519,3510/7749, numerators are 3507,3510
Denominators are 519,7749
The GCF of 3507,3510 is 3 .
LCM of 519,7749 is 1340577.
The greatest common factor of 3507/519,3510/7749 = [GCF of 3507,3510]/[LCM of 519,7749]= 3/1340577
Therefore, the GCF of 3507/519,3510/7749 is 3/1340577.
To find the highest common factor of 3507,3510, we have to find the factors of both numbers and list the highest common factor.
The factors of 3507 are 1, 3, 7, 21, 167, 501, 1169, 3507
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 HCF of 3507,3510 is 3.
Lets's calculate GCF of 3507,3510
| 3 | 3507, 3510 |
| 1169, 1170 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 3507,3510 By Matching Biggest Common Factor Method
Now, list down the factors of 3507
:1,3,7,21,167,501,1169,3507
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
Greatest Common Factor
We found the factors 3507,3510 . The biggest common factor number is the GCF number.
So the greatest common factor 3507,3510 is 3.
Lets's calculate LCM of 519,7749
| 3 | 519, 7749 |
| 173, 2583 |
∴ So the LCM of the given numbers is 3 x 173 x 2583 = 1340577
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1340577
Therefore, the GCF of Fractions 3507/519,3510/7749 is 3/1340577
Least Common Multiple of 519,7749 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 519,7749 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(519,7749) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(519,7749) x common factors =3 x 1 = 3
LCM(519,7749) = ( 519 × 7749 ) / 3
LCM(519,7749) = 4021731 / 3
LCM(519,7749) = 1340577
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FAQs on GCF of Fractions of 3507/519, 3510/7749
1. What is the HCF of 3507,3510?
The HCF of 3507,3510 is 3
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 3507/519, 3510/7749?
Answer: GCF of Numerators as per given numbers 3507/519, 3510/7749 is
GCF of Numerators i.e. for 3507,3510 is 3
LCM of denominators i.e. for 519,7749 is 1340577.
Thus, GCF of Fractions is 3/1340577.Finally, GCF of Fractions for 3507/519, 3510/7749 is 3/1340577.