GCF of 4884/580, 7756/9552
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4884/580, 7756/9552 i.e 4/1385040 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4884/580, 7756/9552.
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 4884/580,7756/9552?
Given fractions are 4884/580,7756/9552
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 4884/580,7756/9552, numerators are 4884,7756
Denominators are 580,9552
The GCF of 4884,7756 is 4 .
LCM of 580,9552 is 1385040.
The greatest common factor of 4884/580,7756/9552 = [GCF of 4884,7756]/[LCM of 580,9552]= 4/1385040
Therefore, the GCF of 4884/580,7756/9552 is 4/1385040.
To find the highest common factor of 4884,7756, we have to find the factors of both numbers and list the highest common factor.
The factors of 4884 are 1, 2, 3, 4, 6, 11, 12, 22, 33, 37, 44, 66, 74, 111, 132, 148, 222, 407, 444, 814, 1221, 1628, 2442, 4884
The factors of 7756 are 1, 2, 4, 7, 14, 28, 277, 554, 1108, 1939, 3878, 7756
The HCF of 4884,7756 is 4.
Lets's calculate GCF of 4884,7756
| 2 | 4884, 7756 |
| 2 | 2442, 3878 |
| 1221, 1939 |
∴ So the GCF of the given numbers is 2 x 2 = 4
Greatest Common Factor of 4884,7756 By Matching Biggest Common Factor Method
Now, list down the factors of 4884
:1,2,3,4,6,11,12,22,33,37,44,66,74,111,132,148,222,407,444,814,1221,1628,2442,4884
Now, list down the factors of 7756
:1,2,4,7,14,28,277,554,1108,1939,3878,7756
Greatest Common Factor
We found the factors 4884,7756 . The biggest common factor number is the GCF number.
So the greatest common factor 4884,7756 is 4.
Lets's calculate LCM of 580,9552
| 2 | 580, 9552 |
| 2 | 290, 4776 |
| 145, 2388 |
∴ So the LCM of the given numbers is 2 x 2 x 145 x 2388 = 1385040
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 4/1385040
Therefore, the GCF of Fractions 4884/580,7756/9552 is 4/1385040
Least Common Multiple of 580,9552 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 580,9552 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(580,9552) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(580,9552) x common factors =4 x 1 = 4
LCM(580,9552) = ( 580 × 9552 ) / 4
LCM(580,9552) = 5540160 / 4
LCM(580,9552) = 1385040
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FAQs on GCF of Fractions of 4884/580, 7756/9552
1. What is the HCF of 4884,7756?
The HCF of 4884,7756 is 4
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 4884/580, 7756/9552?
Answer: GCF of Numerators as per given numbers 4884/580, 7756/9552 is
GCF of Numerators i.e. for 4884,7756 is 4
LCM of denominators i.e. for 580,9552 is 1385040.
Thus, GCF of Fractions is 4/1385040.Finally, GCF of Fractions for 4884/580, 7756/9552 is 4/1385040.