GCF of 5980/625, 8550/3449
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5980/625, 8550/3449 i.e 10/2155625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5980/625, 8550/3449.
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 5980/625,8550/3449?
Given fractions are 5980/625,8550/3449
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 5980/625,8550/3449, numerators are 5980,8550
Denominators are 625,3449
The GCF of 5980,8550 is 10 .
LCM of 625,3449 is 2155625.
The greatest common factor of 5980/625,8550/3449 = [GCF of 5980,8550]/[LCM of 625,3449]= 10/2155625
Therefore, the GCF of 5980/625,8550/3449 is 10/2155625.
To find the highest common factor of 5980,8550, we have to find the factors of both numbers and list the highest common factor.
The factors of 5980 are 1, 2, 4, 5, 10, 13, 20, 23, 26, 46, 52, 65, 92, 115, 130, 230, 260, 299, 460, 598, 1196, 1495, 2990, 5980
The factors of 8550 are 1, 2, 3, 5, 6, 9, 10, 15, 18, 19, 25, 30, 38, 45, 50, 57, 75, 90, 95, 114, 150, 171, 190, 225, 285, 342, 450, 475, 570, 855, 950, 1425, 1710, 2850, 4275, 8550
The HCF of 5980,8550 is 10.
Lets's calculate GCF of 5980,8550
| 2 | 5980, 8550 |
| 5 | 2990, 4275 |
| 598, 855 |
∴ So the GCF of the given numbers is 2 x 5 = 10
Greatest Common Factor of 5980,8550 By Matching Biggest Common Factor Method
Now, list down the factors of 5980
:1,2,4,5,10,13,20,23,26,46,52,65,92,115,130,230,260,299,460,598,1196,1495,2990,5980
Now, list down the factors of 8550
:1,2,3,5,6,9,10,15,18,19,25,30,38,45,50,57,75,90,95,114,150,171,190,225,285,342,450,475,570,855,950,1425,1710,2850,4275,8550
Greatest Common Factor
We found the factors 5980,8550 . The biggest common factor number is the GCF number.
So the greatest common factor 5980,8550 is 10.
Lets's calculate LCM of 625,3449
Given numbers has no common factors except 1. So, there LCM is their product i.e 2155625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 10/2155625
Therefore, the GCF of Fractions 5980/625,8550/3449 is 10/2155625
Least Common Multiple of 625,3449 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 625,3449 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(625,3449) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(625,3449) x common factors =1 x 1 = 1
LCM(625,3449) = ( 625 × 3449 ) / 1
LCM(625,3449) = 2155625 / 1
LCM(625,3449) = 2155625
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FAQs on GCF of Fractions of 5980/625, 8550/3449
1. What is the HCF of 5980,8550?
The HCF of 5980,8550 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 5980/625, 8550/3449?
Answer: GCF of Numerators as per given numbers 5980/625, 8550/3449 is
GCF of Numerators i.e. for 5980,8550 is 10
LCM of denominators i.e. for 625,3449 is 2155625.
Thus, GCF of Fractions is 10/2155625.Finally, GCF of Fractions for 5980/625, 8550/3449 is 10/2155625.