GCF of 1710/390, 7521/7884
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1710/390, 7521/7884 i.e 3/512460 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1710/390, 7521/7884.
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 1710/390,7521/7884?
Given fractions are 1710/390,7521/7884
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 1710/390,7521/7884, numerators are 1710,7521
Denominators are 390,7884
The GCF of 1710,7521 is 3 .
LCM of 390,7884 is 512460.
The greatest common factor of 1710/390,7521/7884 = [GCF of 1710,7521]/[LCM of 390,7884]= 3/512460
Therefore, the GCF of 1710/390,7521/7884 is 3/512460.
To find the highest common factor of 1710,7521, we have to find the factors of both numbers and list the highest common factor.
The factors of 1710 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 30, 38, 45, 57, 90, 95, 114, 171, 190, 285, 342, 570, 855, 1710
The factors of 7521 are 1, 3, 23, 69, 109, 327, 2507, 7521
The HCF of 1710,7521 is 3.
Lets's calculate GCF of 1710,7521
| 3 | 1710, 7521 |
| 570, 2507 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1710,7521 By Matching Biggest Common Factor Method
Now, list down the factors of 1710
:1,2,3,5,6,9,10,15,18,19,30,38,45,57,90,95,114,171,190,285,342,570,855,1710
Now, list down the factors of 7521
:1,3,23,69,109,327,2507,7521
Greatest Common Factor
We found the factors 1710,7521 . The biggest common factor number is the GCF number.
So the greatest common factor 1710,7521 is 3.
Lets's calculate LCM of 390,7884
| 2 | 390, 7884 |
| 3 | 195, 3942 |
| 65, 1314 |
∴ So the LCM of the given numbers is 2 x 3 x 65 x 1314 = 512460
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/512460
Therefore, the GCF of Fractions 1710/390,7521/7884 is 3/512460
Least Common Multiple of 390,7884 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 390,7884 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,7884) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(390,7884) x common factors =6 x 1 = 6
LCM(390,7884) = ( 390 × 7884 ) / 6
LCM(390,7884) = 3074760 / 6
LCM(390,7884) = 512460
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FAQs on GCF of Fractions of 1710/390, 7521/7884
1. What is the HCF of 1710,7521?
The HCF of 1710,7521 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 1710/390, 7521/7884?
Answer: GCF of Numerators as per given numbers 1710/390, 7521/7884 is
GCF of Numerators i.e. for 1710,7521 is 3
LCM of denominators i.e. for 390,7884 is 512460.
Thus, GCF of Fractions is 3/512460.Finally, GCF of Fractions for 1710/390, 7521/7884 is 3/512460.