GCF of 1526/543, 9555/312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1526/543, 9555/312 i.e 7/56472 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1526/543, 9555/312.
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 1526/543,9555/312?
Given fractions are 1526/543,9555/312
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 1526/543,9555/312, numerators are 1526,9555
Denominators are 543,312
The GCF of 1526,9555 is 7 .
LCM of 543,312 is 56472.
The greatest common factor of 1526/543,9555/312 = [GCF of 1526,9555]/[LCM of 543,312]= 7/56472
Therefore, the GCF of 1526/543,9555/312 is 7/56472.
To find the highest common factor of 1526,9555, we have to find the factors of both numbers and list the highest common factor.
The factors of 1526 are 1, 2, 7, 14, 109, 218, 763, 1526
The factors of 9555 are 1, 3, 5, 7, 13, 15, 21, 35, 39, 49, 65, 91, 105, 147, 195, 245, 273, 455, 637, 735, 1365, 1911, 3185, 9555
The HCF of 1526,9555 is 7.
Lets's calculate GCF of 1526,9555
| 7 | 1526, 9555 |
| 218, 1365 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 1526,9555 By Matching Biggest Common Factor Method
Now, list down the factors of 1526
:1,2,7,14,109,218,763,1526
Now, list down the factors of 9555
:1,3,5,7,13,15,21,35,39,49,65,91,105,147,195,245,273,455,637,735,1365,1911,3185,9555
Greatest Common Factor
We found the factors 1526,9555 . The biggest common factor number is the GCF number.
So the greatest common factor 1526,9555 is 7.
Lets's calculate LCM of 543,312
| 3 | 543, 312 |
| 181, 104 |
∴ So the LCM of the given numbers is 3 x 181 x 104 = 56472
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/56472
Therefore, the GCF of Fractions 1526/543,9555/312 is 7/56472
Least Common Multiple of 543,312 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 543,312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(543,312) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(543,312) x common factors =3 x 1 = 3
LCM(543,312) = ( 543 × 312 ) / 3
LCM(543,312) = 169416 / 3
LCM(543,312) = 56472
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FAQs on GCF of Fractions of 1526/543, 9555/312
1. What is the HCF of 1526,9555?
The HCF of 1526,9555 is 7
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 1526/543, 9555/312?
Answer: GCF of Numerators as per given numbers 1526/543, 9555/312 is
GCF of Numerators i.e. for 1526,9555 is 7
LCM of denominators i.e. for 543,312 is 56472.
Thus, GCF of Fractions is 7/56472.Finally, GCF of Fractions for 1526/543, 9555/312 is 7/56472.