GCF of 1428/608, 9120/3808
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1428/608, 9120/3808 i.e 12/72352 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1428/608, 9120/3808.
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 1428/608,9120/3808?
Given fractions are 1428/608,9120/3808
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 1428/608,9120/3808, numerators are 1428,9120
Denominators are 608,3808
The GCF of 1428,9120 is 12 .
LCM of 608,3808 is 72352.
The greatest common factor of 1428/608,9120/3808 = [GCF of 1428,9120]/[LCM of 608,3808]= 12/72352
Therefore, the GCF of 1428/608,9120/3808 is 12/72352.
To find the highest common factor of 1428,9120, we have to find the factors of both numbers and list the highest common factor.
The factors of 1428 are 1, 2, 3, 4, 6, 7, 12, 14, 17, 21, 28, 34, 42, 51, 68, 84, 102, 119, 204, 238, 357, 476, 714, 1428
The factors of 9120 are 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 19, 20, 24, 30, 32, 38, 40, 48, 57, 60, 76, 80, 95, 96, 114, 120, 152, 160, 190, 228, 240, 285, 304, 380, 456, 480, 570, 608, 760, 912, 1140, 1520, 1824, 2280, 3040, 4560, 9120
The HCF of 1428,9120 is 12.
Lets's calculate GCF of 1428,9120
| 2 | 1428, 9120 |
| 2 | 714, 4560 |
| 3 | 357, 2280 |
| 119, 760 |
∴ So the GCF of the given numbers is 2 x 2 x 3 = 12
Greatest Common Factor of 1428,9120 By Matching Biggest Common Factor Method
Now, list down the factors of 1428
:1,2,3,4,6,7,12,14,17,21,28,34,42,51,68,84,102,119,204,238,357,476,714,1428
Now, list down the factors of 9120
:1,2,3,4,5,6,8,10,12,15,16,19,20,24,30,32,38,40,48,57,60,76,80,95,96,114,120,152,160,190,228,240,285,304,380,456,480,570,608,760,912,1140,1520,1824,2280,3040,4560,9120
Greatest Common Factor
We found the factors 1428,9120 . The biggest common factor number is the GCF number.
So the greatest common factor 1428,9120 is 12.
Lets's calculate LCM of 608,3808
| 2 | 608, 3808 |
| 2 | 304, 1904 |
| 2 | 152, 952 |
| 2 | 76, 476 |
| 2 | 38, 238 |
| 19, 119 |
∴ So the LCM of the given numbers is 2 x 2 x 2 x 2 x 2 x 19 x 119 = 72352
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 12/72352
Therefore, the GCF of Fractions 1428/608,9120/3808 is 12/72352
Least Common Multiple of 608,3808 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 608,3808 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(608,3808) = 32
common factors(in case of two or more numbers have common factors) = 1
GCF(608,3808) x common factors =32 x 1 = 32
LCM(608,3808) = ( 608 × 3808 ) / 32
LCM(608,3808) = 2315264 / 32
LCM(608,3808) = 72352
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FAQs on GCF of Fractions of 1428/608, 9120/3808
1. What is the HCF of 1428,9120?
The HCF of 1428,9120 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 1428/608, 9120/3808?
Answer: GCF of Numerators as per given numbers 1428/608, 9120/3808 is
GCF of Numerators i.e. for 1428,9120 is 12
LCM of denominators i.e. for 608,3808 is 72352.
Thus, GCF of Fractions is 12/72352.Finally, GCF of Fractions for 1428/608, 9120/3808 is 12/72352.