GCF of 9300/846, 5715/123
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 9300/846, 5715/123 i.e 15/34686 easily. The following is the detailed procedure to determine the greatest common factor of fractions 9300/846, 5715/123.
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 9300/846,5715/123?
Given fractions are 9300/846,5715/123
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 9300/846,5715/123, numerators are 9300,5715
Denominators are 846,123
The GCF of 9300,5715 is 15 .
LCM of 846,123 is 34686.
The greatest common factor of 9300/846,5715/123 = [GCF of 9300,5715]/[LCM of 846,123]= 15/34686
Therefore, the GCF of 9300/846,5715/123 is 15/34686.
To find the highest common factor of 9300,5715, we have to find the factors of both numbers and list the highest common factor.
The factors of 9300 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650, 9300
The factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715
The HCF of 9300,5715 is 15.
Lets's calculate GCF of 9300,5715
| 3 | 9300, 5715 |
| 5 | 3100, 1905 |
| 620, 381 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 9300,5715 By Matching Biggest Common Factor Method
Now, list down the factors of 9300
:1,2,3,4,5,6,10,12,15,20,25,30,31,50,60,62,75,93,100,124,150,155,186,300,310,372,465,620,775,930,1550,1860,2325,3100,4650,9300
Now, list down the factors of 5715
:1,3,5,9,15,45,127,381,635,1143,1905,5715
Greatest Common Factor
We found the factors 9300,5715 . The biggest common factor number is the GCF number.
So the greatest common factor 9300,5715 is 15.
Lets's calculate LCM of 846,123
| 3 | 846, 123 |
| 282, 41 |
∴ So the LCM of the given numbers is 3 x 282 x 41 = 34686
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/34686
Therefore, the GCF of Fractions 9300/846,5715/123 is 15/34686
Least Common Multiple of 846,123 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 846,123 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(846,123) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(846,123) x common factors =3 x 1 = 3
LCM(846,123) = ( 846 × 123 ) / 3
LCM(846,123) = 104058 / 3
LCM(846,123) = 34686
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FAQs on GCF of Fractions of 9300/846, 5715/123
1. What is the HCF of 9300,5715?
The HCF of 9300,5715 is 15
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 9300/846, 5715/123?
Answer: GCF of Numerators as per given numbers 9300/846, 5715/123 is
GCF of Numerators i.e. for 9300,5715 is 15
LCM of denominators i.e. for 846,123 is 34686.
Thus, GCF of Fractions is 15/34686.Finally, GCF of Fractions for 9300/846, 5715/123 is 15/34686.