GCF of 4284/390, 1540/976
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4284/390, 1540/976 i.e 28/190320 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4284/390, 1540/976.
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 4284/390,1540/976?
Given fractions are 4284/390,1540/976
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 4284/390,1540/976, numerators are 4284,1540
Denominators are 390,976
The GCF of 4284,1540 is 28 .
LCM of 390,976 is 190320.
The greatest common factor of 4284/390,1540/976 = [GCF of 4284,1540]/[LCM of 390,976]= 28/190320
Therefore, the GCF of 4284/390,1540/976 is 28/190320.
To find the highest common factor of 4284,1540, we have to find the factors of both numbers and list the highest common factor.
The factors of 4284 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 17, 18, 21, 28, 34, 36, 42, 51, 63, 68, 84, 102, 119, 126, 153, 204, 238, 252, 306, 357, 476, 612, 714, 1071, 1428, 2142, 4284
The factors of 1540 are 1, 2, 4, 5, 7, 10, 11, 14, 20, 22, 28, 35, 44, 55, 70, 77, 110, 140, 154, 220, 308, 385, 770, 1540
The HCF of 4284,1540 is 28.
Lets's calculate GCF of 4284,1540
| 2 | 4284, 1540 |
| 2 | 2142, 770 |
| 7 | 1071, 385 |
| 153, 55 |
∴ So the GCF of the given numbers is 2 x 2 x 7 = 28
Greatest Common Factor of 4284,1540 By Matching Biggest Common Factor Method
Now, list down the factors of 4284
:1,2,3,4,6,7,9,12,14,17,18,21,28,34,36,42,51,63,68,84,102,119,126,153,204,238,252,306,357,476,612,714,1071,1428,2142,4284
Now, list down the factors of 1540
:1,2,4,5,7,10,11,14,20,22,28,35,44,55,70,77,110,140,154,220,308,385,770,1540
Greatest Common Factor
We found the factors 4284,1540 . The biggest common factor number is the GCF number.
So the greatest common factor 4284,1540 is 28.
Lets's calculate LCM of 390,976
| 2 | 390, 976 |
| 195, 488 |
∴ So the LCM of the given numbers is 2 x 195 x 488 = 190320
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 28/190320
Therefore, the GCF of Fractions 4284/390,1540/976 is 28/190320
Least Common Multiple of 390,976 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 390,976 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,976) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(390,976) x common factors =2 x 1 = 2
LCM(390,976) = ( 390 × 976 ) / 2
LCM(390,976) = 380640 / 2
LCM(390,976) = 190320
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 4284/390, 1540/976
1. What is the HCF of 4284,1540?
The HCF of 4284,1540 is 28
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 4284/390, 1540/976?
Answer: GCF of Numerators as per given numbers 4284/390, 1540/976 is
GCF of Numerators i.e. for 4284,1540 is 28
LCM of denominators i.e. for 390,976 is 190320.
Thus, GCF of Fractions is 28/190320.Finally, GCF of Fractions for 4284/390, 1540/976 is 28/190320.