GCF of 7524/329, 9012/867
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7524/329, 9012/867 i.e 12/285243 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7524/329, 9012/867.
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 7524/329,9012/867?
Given fractions are 7524/329,9012/867
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 7524/329,9012/867, numerators are 7524,9012
Denominators are 329,867
The GCF of 7524,9012 is 12 .
LCM of 329,867 is 285243.
The greatest common factor of 7524/329,9012/867 = [GCF of 7524,9012]/[LCM of 329,867]= 12/285243
Therefore, the GCF of 7524/329,9012/867 is 12/285243.
To find the highest common factor of 7524,9012, we have to find the factors of both numbers and list the highest common factor.
The factors of 7524 are 1, 2, 3, 4, 6, 9, 11, 12, 18, 19, 22, 33, 36, 38, 44, 57, 66, 76, 99, 114, 132, 171, 198, 209, 228, 342, 396, 418, 627, 684, 836, 1254, 1881, 2508, 3762, 7524
The factors of 9012 are 1, 2, 3, 4, 6, 12, 751, 1502, 2253, 3004, 4506, 9012
The HCF of 7524,9012 is 12.
Lets's calculate GCF of 7524,9012
| 2 | 7524, 9012 |
| 2 | 3762, 4506 |
| 3 | 1881, 2253 |
| 627, 751 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 7524,9012 By Matching Biggest Common Factor Method
Now, list down the factors of 7524
:1,2,3,4,6,9,11,12,18,19,22,33,36,38,44,57,66,76,99,114,132,171,198,209,228,342,396,418,627,684,836,1254,1881,2508,3762,7524
Now, list down the factors of 9012
:1,2,3,4,6,12,751,1502,2253,3004,4506,9012
Greatest Common Factor
We found the factors 7524,9012 . The biggest common factor number is the GCF number.
So the greatest common factor 7524,9012 is 12.
Lets's calculate LCM of 329,867
Given numbers has no common factors except 1. So, there LCM is their product i.e 285243
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/285243
Therefore, the GCF of Fractions 7524/329,9012/867 is 12/285243
Least Common Multiple of 329,867 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 329,867 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(329,867) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(329,867) x common factors =1 x 1 = 1
LCM(329,867) = ( 329 × 867 ) / 1
LCM(329,867) = 285243 / 1
LCM(329,867) = 285243
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FAQs on GCF of Fractions of 7524/329, 9012/867
1. What is the HCF of 7524,9012?
The HCF of 7524,9012 is 12
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 7524/329, 9012/867?
Answer: GCF of Numerators as per given numbers 7524/329, 9012/867 is
GCF of Numerators i.e. for 7524,9012 is 12
LCM of denominators i.e. for 329,867 is 285243.
Thus, GCF of Fractions is 12/285243.Finally, GCF of Fractions for 7524/329, 9012/867 is 12/285243.