GCF of 9375/624, 1506/3588
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9375/624, 1506/3588 i.e 3/14352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9375/624, 1506/3588.
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 9375/624,1506/3588?
Given fractions are 9375/624,1506/3588
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 9375/624,1506/3588, numerators are 9375,1506
Denominators are 624,3588
The GCF of 9375,1506 is 3 .
LCM of 624,3588 is 14352.
The greatest common factor of 9375/624,1506/3588 = [GCF of 9375,1506]/[LCM of 624,3588]= 3/14352
Therefore, the GCF of 9375/624,1506/3588 is 3/14352.
To find the highest common factor of 9375,1506, we have to find the factors of both numbers and list the highest common factor.
The factors of 9375 are 1, 3, 5, 15, 25, 75, 125, 375, 625, 1875, 3125, 9375
The factors of 1506 are 1, 2, 3, 6, 251, 502, 753, 1506
The HCF of 9375,1506 is 3.
Lets's calculate GCF of 9375,1506
| 3 | 9375, 1506 |
| 3125, 502 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9375,1506 By Matching Biggest Common Factor Method
Now, list down the factors of 9375
:1,3,5,15,25,75,125,375,625,1875,3125,9375
Now, list down the factors of 1506
:1,2,3,6,251,502,753,1506
Greatest Common Factor
We found the factors 9375,1506 . The biggest common factor number is the GCF number.
So the greatest common factor 9375,1506 is 3.
Lets's calculate LCM of 624,3588
| 2 | 624, 3588 |
| 2 | 312, 1794 |
| 3 | 156, 897 |
| 13 | 52, 299 |
| 4, 23 |
∴ So the LCM of the given numbers is 2 x 2 x 3 x 13 x 4 x 23 = 14352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/14352
Therefore, the GCF of Fractions 9375/624,1506/3588 is 3/14352
Least Common Multiple of 624,3588 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 624,3588 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(624,3588) = 156
common factors(in case of two or more numbers have common factors) = 1
GCF(624,3588) x common factors =156 x 1 = 156
LCM(624,3588) = ( 624 × 3588 ) / 156
LCM(624,3588) = 2238912 / 156
LCM(624,3588) = 14352
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FAQs on GCF of Fractions of 9375/624, 1506/3588
1. What is the HCF of 9375,1506?
The HCF of 9375,1506 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 9375/624, 1506/3588?
Answer: GCF of Numerators as per given numbers 9375/624, 1506/3588 is
GCF of Numerators i.e. for 9375,1506 is 3
LCM of denominators i.e. for 624,3588 is 14352.
Thus, GCF of Fractions is 3/14352.Finally, GCF of Fractions for 9375/624, 1506/3588 is 3/14352.