GCF of 9024/341, 1359/3782
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9024/341, 1359/3782 i.e 3/41602 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9024/341, 1359/3782.
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 9024/341,1359/3782?
Given fractions are 9024/341,1359/3782
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 9024/341,1359/3782, numerators are 9024,1359
Denominators are 341,3782
The GCF of 9024,1359 is 3 .
LCM of 341,3782 is 41602.
The greatest common factor of 9024/341,1359/3782 = [GCF of 9024,1359]/[LCM of 341,3782]= 3/41602
Therefore, the GCF of 9024/341,1359/3782 is 3/41602.
To find the highest common factor of 9024,1359, we have to find the factors of both numbers and list the highest common factor.
The factors of 9024 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 47, 48, 64, 94, 96, 141, 188, 192, 282, 376, 564, 752, 1128, 1504, 2256, 3008, 4512, 9024
The factors of 1359 are 1, 3, 9, 151, 453, 1359
The HCF of 9024,1359 is 3.
Lets's calculate GCF of 9024,1359
| 3 | 9024, 1359 |
| 3008, 453 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 9024,1359 By Matching Biggest Common Factor Method
Now, list down the factors of 9024
:1,2,3,4,6,8,12,16,24,32,47,48,64,94,96,141,188,192,282,376,564,752,1128,1504,2256,3008,4512,9024
Now, list down the factors of 1359
:1,3,9,151,453,1359
Greatest Common Factor
We found the factors 9024,1359 . The biggest common factor number is the GCF number.
So the greatest common factor 9024,1359 is 3.
Lets's calculate LCM of 341,3782
| 31 | 341, 3782 |
| 11, 122 |
∴ So the LCM of the given numbers is 31 x 11 x 122 = 41602
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/41602
Therefore, the GCF of Fractions 9024/341,1359/3782 is 3/41602
Least Common Multiple of 341,3782 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 341,3782 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(341,3782) = 31
common factors(in case of two or more numbers have common factors) = 1
GCF(341,3782) x common factors =31 x 1 = 31
LCM(341,3782) = ( 341 × 3782 ) / 31
LCM(341,3782) = 1289662 / 31
LCM(341,3782) = 41602
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FAQs on GCF of Fractions of 9024/341, 1359/3782
1. What is the HCF of 9024,1359?
The HCF of 9024,1359 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 9024/341, 1359/3782?
Answer: GCF of Numerators as per given numbers 9024/341, 1359/3782 is
GCF of Numerators i.e. for 9024,1359 is 3
LCM of denominators i.e. for 341,3782 is 41602.
Thus, GCF of Fractions is 3/41602.Finally, GCF of Fractions for 9024/341, 1359/3782 is 3/41602.