GCF of 8800/555, 7630/9546
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8800/555, 7630/9546 i.e 10/47730 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8800/555, 7630/9546.
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 8800/555,7630/9546?
Given fractions are 8800/555,7630/9546
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 8800/555,7630/9546, numerators are 8800,7630
Denominators are 555,9546
The GCF of 8800,7630 is 10 .
LCM of 555,9546 is 47730.
The greatest common factor of 8800/555,7630/9546 = [GCF of 8800,7630]/[LCM of 555,9546]= 10/47730
Therefore, the GCF of 8800/555,7630/9546 is 10/47730.
To find the highest common factor of 8800,7630, 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 7630 are 1, 2, 5, 7, 10, 14, 35, 70, 109, 218, 545, 763, 1090, 1526, 3815, 7630
The HCF of 8800,7630 is 10.
Lets's calculate GCF of 8800,7630
| 2 | 8800, 7630 |
| 5 | 4400, 3815 |
| 880, 763 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 8800,7630 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 7630
:1,2,5,7,10,14,35,70,109,218,545,763,1090,1526,3815,7630
Greatest Common Factor
We found the factors 8800,7630 . The biggest common factor number is the GCF number.
So the greatest common factor 8800,7630 is 10.
Lets's calculate LCM of 555,9546
| 3 | 555, 9546 |
| 37 | 185, 3182 |
| 5, 86 |
∴ So the LCM of the given numbers is 3 x 37 x 5 x 86 = 47730
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/47730
Therefore, the GCF of Fractions 8800/555,7630/9546 is 10/47730
Least Common Multiple of 555,9546 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 555,9546 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(555,9546) = 111
common factors(in case of two or more numbers have common factors) = 1
GCF(555,9546) x common factors =111 x 1 = 111
LCM(555,9546) = ( 555 × 9546 ) / 111
LCM(555,9546) = 5298030 / 111
LCM(555,9546) = 47730
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FAQs on GCF of Fractions of 8800/555, 7630/9546
1. What is the HCF of 8800,7630?
The HCF of 8800,7630 is 10
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 8800/555, 7630/9546?
Answer: GCF of Numerators as per given numbers 8800/555, 7630/9546 is
GCF of Numerators i.e. for 8800,7630 is 10
LCM of denominators i.e. for 555,9546 is 47730.
Thus, GCF of Fractions is 10/47730.Finally, GCF of Fractions for 8800/555, 7630/9546 is 10/47730.