GCF of 7815/550, 1820/5114
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7815/550, 1820/5114 i.e 5/1406350 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7815/550, 1820/5114.
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 7815/550,1820/5114?
Given fractions are 7815/550,1820/5114
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 7815/550,1820/5114, numerators are 7815,1820
Denominators are 550,5114
The GCF of 7815,1820 is 5 .
LCM of 550,5114 is 1406350.
The greatest common factor of 7815/550,1820/5114 = [GCF of 7815,1820]/[LCM of 550,5114]= 5/1406350
Therefore, the GCF of 7815/550,1820/5114 is 5/1406350.
To find the highest common factor of 7815,1820, we have to find the factors of both numbers and list the highest common factor.
The factors of 7815 are 1, 3, 5, 15, 521, 1563, 2605, 7815
The factors of 1820 are 1, 2, 4, 5, 7, 10, 13, 14, 20, 26, 28, 35, 52, 65, 70, 91, 130, 140, 182, 260, 364, 455, 910, 1820
The HCF of 7815,1820 is 5.
Lets's calculate GCF of 7815,1820
| 5 | 7815, 1820 |
| 1563, 364 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 7815,1820 By Matching Biggest Common Factor Method
Now, list down the factors of 7815
:1,3,5,15,521,1563,2605,7815
Now, list down the factors of 1820
:1,2,4,5,7,10,13,14,20,26,28,35,52,65,70,91,130,140,182,260,364,455,910,1820
Greatest Common Factor
We found the factors 7815,1820 . The biggest common factor number is the GCF number.
So the greatest common factor 7815,1820 is 5.
Lets's calculate LCM of 550,5114
| 2 | 550, 5114 |
| 275, 2557 |
∴ So the LCM of the given numbers is 2 x 275 x 2557 = 1406350
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/1406350
Therefore, the GCF of Fractions 7815/550,1820/5114 is 5/1406350
Least Common Multiple of 550,5114 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 550,5114 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(550,5114) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(550,5114) x common factors =2 x 1 = 2
LCM(550,5114) = ( 550 × 5114 ) / 2
LCM(550,5114) = 2812700 / 2
LCM(550,5114) = 1406350
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FAQs on GCF of Fractions of 7815/550, 1820/5114
1. What is the HCF of 7815,1820?
The HCF of 7815,1820 is 5
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 7815/550, 1820/5114?
Answer: GCF of Numerators as per given numbers 7815/550, 1820/5114 is
GCF of Numerators i.e. for 7815,1820 is 5
LCM of denominators i.e. for 550,5114 is 1406350.
Thus, GCF of Fractions is 5/1406350.Finally, GCF of Fractions for 7815/550, 1820/5114 is 5/1406350.