GCF of 8800/354, 4780/2586
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8800/354, 4780/2586 i.e 20/152574 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8800/354, 4780/2586.
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 8800/354,4780/2586?
Given fractions are 8800/354,4780/2586
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 8800/354,4780/2586, numerators are 8800,4780
Denominators are 354,2586
The GCF of 8800,4780 is 20 .
LCM of 354,2586 is 152574.
The greatest common factor of 8800/354,4780/2586 = [GCF of 8800,4780]/[LCM of 354,2586]= 20/152574
Therefore, the GCF of 8800/354,4780/2586 is 20/152574.
To find the highest common factor of 8800,4780, we have to find the factors of both numbers and list the highest common factor.
The factors of 8800 are 1, 2, 4, 5, 8, 10, 11, 16, 20, 22, 25, 32, 40, 44, 50, 55, 80, 88, 100, 110, 160, 176, 200, 220, 275, 352, 400, 440, 550, 800, 880, 1100, 1760, 2200, 4400, 8800
The factors of 4780 are 1, 2, 4, 5, 10, 20, 239, 478, 956, 1195, 2390, 4780
The HCF of 8800,4780 is 20.
Lets's calculate GCF of 8800,4780
| 2 | 8800, 4780 |
| 2 | 4400, 2390 |
| 5 | 2200, 1195 |
| 440, 239 |
∴ So the GCF of the given numbers is 2 x 2 x 5 = 20
Greatest Common Factor of 8800,4780 By Matching Biggest Common Factor Method
Now, list down the factors of 8800
:1,2,4,5,8,10,11,16,20,22,25,32,40,44,50,55,80,88,100,110,160,176,200,220,275,352,400,440,550,800,880,1100,1760,2200,4400,8800
Now, list down the factors of 4780
:1,2,4,5,10,20,239,478,956,1195,2390,4780
Greatest Common Factor
We found the factors 8800,4780 . The biggest common factor number is the GCF number.
So the greatest common factor 8800,4780 is 20.
Lets's calculate LCM of 354,2586
| 2 | 354, 2586 |
| 3 | 177, 1293 |
| 59, 431 |
∴ So the LCM of the given numbers is 2 x 3 x 59 x 431 = 152574
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 20/152574
Therefore, the GCF of Fractions 8800/354,4780/2586 is 20/152574
Least Common Multiple of 354,2586 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 354,2586 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(354,2586) = 6
common factors(in case of two or more numbers have common factors) = 1
GCF(354,2586) x common factors =6 x 1 = 6
LCM(354,2586) = ( 354 × 2586 ) / 6
LCM(354,2586) = 915444 / 6
LCM(354,2586) = 152574
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FAQs on GCF of Fractions of 8800/354, 4780/2586
1. What is the HCF of 8800,4780?
The HCF of 8800,4780 is 20
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 8800/354, 4780/2586?
Answer: GCF of Numerators as per given numbers 8800/354, 4780/2586 is
GCF of Numerators i.e. for 8800,4780 is 20
LCM of denominators i.e. for 354,2586 is 152574.
Thus, GCF of Fractions is 20/152574.Finally, GCF of Fractions for 8800/354, 4780/2586 is 20/152574.