GCF of 1950/415, 8560/8673
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1950/415, 8560/8673 i.e 10/3599295 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1950/415, 8560/8673.
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 1950/415,8560/8673?
Given fractions are 1950/415,8560/8673
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 1950/415,8560/8673, numerators are 1950,8560
Denominators are 415,8673
The GCF of 1950,8560 is 10 .
LCM of 415,8673 is 3599295.
The greatest common factor of 1950/415,8560/8673 = [GCF of 1950,8560]/[LCM of 415,8673]= 10/3599295
Therefore, the GCF of 1950/415,8560/8673 is 10/3599295.
To find the highest common factor of 1950,8560, we have to find the factors of both numbers and list the highest common factor.
The factors of 1950 are 1, 2, 3, 5, 6, 10, 13, 15, 25, 26, 30, 39, 50, 65, 75, 78, 130, 150, 195, 325, 390, 650, 975, 1950
The factors of 8560 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 107, 214, 428, 535, 856, 1070, 1712, 2140, 4280, 8560
The HCF of 1950,8560 is 10.
Lets's calculate GCF of 1950,8560
| 2 | 1950, 8560 |
| 5 | 975, 4280 |
| 195, 856 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 1950,8560 By Matching Biggest Common Factor Method
Now, list down the factors of 1950
:1,2,3,5,6,10,13,15,25,26,30,39,50,65,75,78,130,150,195,325,390,650,975,1950
Now, list down the factors of 8560
:1,2,4,5,8,10,16,20,40,80,107,214,428,535,856,1070,1712,2140,4280,8560
Greatest Common Factor
We found the factors 1950,8560 . The biggest common factor number is the GCF number.
So the greatest common factor 1950,8560 is 10.
Lets's calculate LCM of 415,8673
Given numbers has no common factors except 1. So, there LCM is their product i.e 3599295
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/3599295
Therefore, the GCF of Fractions 1950/415,8560/8673 is 10/3599295
Least Common Multiple of 415,8673 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 415,8673 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(415,8673) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(415,8673) x common factors =1 x 1 = 1
LCM(415,8673) = ( 415 × 8673 ) / 1
LCM(415,8673) = 3599295 / 1
LCM(415,8673) = 3599295
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FAQs on GCF of Fractions of 1950/415, 8560/8673
1. What is the HCF of 1950,8560?
The HCF of 1950,8560 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 1950/415, 8560/8673?
Answer: GCF of Numerators as per given numbers 1950/415, 8560/8673 is
GCF of Numerators i.e. for 1950,8560 is 10
LCM of denominators i.e. for 415,8673 is 3599295.
Thus, GCF of Fractions is 10/3599295.Finally, GCF of Fractions for 1950/415, 8560/8673 is 10/3599295.