GCF of 5715/171, 7890/5612
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5715/171, 7890/5612 i.e 15/959652 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5715/171, 7890/5612.
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 5715/171,7890/5612?
Given fractions are 5715/171,7890/5612
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 5715/171,7890/5612, numerators are 5715,7890
Denominators are 171,5612
The GCF of 5715,7890 is 15 .
LCM of 171,5612 is 959652.
The greatest common factor of 5715/171,7890/5612 = [GCF of 5715,7890]/[LCM of 171,5612]= 15/959652
Therefore, the GCF of 5715/171,7890/5612 is 15/959652.
To find the highest common factor of 5715,7890, we have to find the factors of both numbers and list the highest common factor.
The factors of 5715 are 1, 3, 5, 9, 15, 45, 127, 381, 635, 1143, 1905, 5715
The factors of 7890 are 1, 2, 3, 5, 6, 10, 15, 30, 263, 526, 789, 1315, 1578, 2630, 3945, 7890
The HCF of 5715,7890 is 15.
Lets's calculate GCF of 5715,7890
| 3 | 5715, 7890 |
| 5 | 1905, 2630 |
| 381, 526 |
∴ So the GCF of the given numbers is 3 x 5 = 15
Greatest Common Factor of 5715,7890 By Matching Biggest Common Factor Method
Now, list down the factors of 5715
:1,3,5,9,15,45,127,381,635,1143,1905,5715
Now, list down the factors of 7890
:1,2,3,5,6,10,15,30,263,526,789,1315,1578,2630,3945,7890
Greatest Common Factor
We found the factors 5715,7890 . The biggest common factor number is the GCF number.
So the greatest common factor 5715,7890 is 15.
Lets's calculate LCM of 171,5612
Given numbers has no common factors except 1. So, there LCM is their product i.e 959652
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 15/959652
Therefore, the GCF of Fractions 5715/171,7890/5612 is 15/959652
Least Common Multiple of 171,5612 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 171,5612 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(171,5612) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(171,5612) x common factors =1 x 1 = 1
LCM(171,5612) = ( 171 × 5612 ) / 1
LCM(171,5612) = 959652 / 1
LCM(171,5612) = 959652
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FAQs on GCF of Fractions of 5715/171, 7890/5612
1. What is the HCF of 5715,7890?
The HCF of 5715,7890 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 5715/171, 7890/5612?
Answer: GCF of Numerators as per given numbers 5715/171, 7890/5612 is
GCF of Numerators i.e. for 5715,7890 is 15
LCM of denominators i.e. for 171,5612 is 959652.
Thus, GCF of Fractions is 15/959652.Finally, GCF of Fractions for 5715/171, 7890/5612 is 15/959652.