GCF of 1530/798, 7329/564
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1530/798, 7329/564 i.e 3/75012 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1530/798, 7329/564.
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 1530/798,7329/564?
Given fractions are 1530/798,7329/564
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 1530/798,7329/564, numerators are 1530,7329
Denominators are 798,564
The GCF of 1530,7329 is 3 .
LCM of 798,564 is 75012.
The greatest common factor of 1530/798,7329/564 = [GCF of 1530,7329]/[LCM of 798,564]= 3/75012
Therefore, the GCF of 1530/798,7329/564 is 3/75012.
To find the highest common factor of 1530,7329, we have to find the factors of both numbers and list the highest common factor.
The factors of 1530 are 1, 2, 3, 5, 6, 9, 10, 15, 17, 18, 30, 34, 45, 51, 85, 90, 102, 153, 170, 255, 306, 510, 765, 1530
The factors of 7329 are 1, 3, 7, 21, 349, 1047, 2443, 7329
The HCF of 1530,7329 is 3.
Lets's calculate GCF of 1530,7329
| 3 | 1530, 7329 |
| 510, 2443 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 1530,7329 By Matching Biggest Common Factor Method
Now, list down the factors of 1530
:1,2,3,5,6,9,10,15,17,18,30,34,45,51,85,90,102,153,170,255,306,510,765,1530
Now, list down the factors of 7329
:1,3,7,21,349,1047,2443,7329
Greatest Common Factor
We found the factors 1530,7329 . The biggest common factor number is the GCF number.
So the greatest common factor 1530,7329 is 3.
Lets's calculate LCM of 798,564
| 2 | 798, 564 |
| 3 | 399, 282 |
| 133, 94 |
∴ So the LCM of the given numbers is 2 x 3 x 133 x 94 = 75012
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/75012
Therefore, the GCF of Fractions 1530/798,7329/564 is 3/75012
Least Common Multiple of 798,564 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 798,564 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(798,564) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(798,564) x common factors =6 x 1 = 6
LCM(798,564) = ( 798 × 564 ) / 6
LCM(798,564) = 450072 / 6
LCM(798,564) = 75012
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FAQs on GCF of Fractions of 1530/798, 7329/564
1. What is the HCF of 1530,7329?
The HCF of 1530,7329 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 1530/798, 7329/564?
Answer: GCF of Numerators as per given numbers 1530/798, 7329/564 is
GCF of Numerators i.e. for 1530,7329 is 3
LCM of denominators i.e. for 798,564 is 75012.
Thus, GCF of Fractions is 3/75012.Finally, GCF of Fractions for 1530/798, 7329/564 is 3/75012.