GCF of 1860/663, 5375/171
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1860/663, 5375/171 i.e 5/37791 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1860/663, 5375/171.
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 1860/663,5375/171?
Given fractions are 1860/663,5375/171
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 1860/663,5375/171, numerators are 1860,5375
Denominators are 663,171
The GCF of 1860,5375 is 5 .
LCM of 663,171 is 37791.
The greatest common factor of 1860/663,5375/171 = [GCF of 1860,5375]/[LCM of 663,171]= 5/37791
Therefore, the GCF of 1860/663,5375/171 is 5/37791.
To find the highest common factor of 1860,5375, we have to find the factors of both numbers and list the highest common factor.
The factors of 1860 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 31, 60, 62, 93, 124, 155, 186, 310, 372, 465, 620, 930, 1860
The factors of 5375 are 1, 5, 25, 43, 125, 215, 1075, 5375
The HCF of 1860,5375 is 5.
Lets's calculate GCF of 1860,5375
| 5 | 1860, 5375 |
| 372, 1075 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 1860,5375 By Matching Biggest Common Factor Method
Now, list down the factors of 1860
:1,2,3,4,5,6,10,12,15,20,30,31,60,62,93,124,155,186,310,372,465,620,930,1860
Now, list down the factors of 5375
:1,5,25,43,125,215,1075,5375
Greatest Common Factor
We found the factors 1860,5375 . The biggest common factor number is the GCF number.
So the greatest common factor 1860,5375 is 5.
Lets's calculate LCM of 663,171
| 3 | 663, 171 |
| 221, 57 |
∴ So the LCM of the given numbers is 3 x 221 x 57 = 37791
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/37791
Therefore, the GCF of Fractions 1860/663,5375/171 is 5/37791
Least Common Multiple of 663,171 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 663,171 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(663,171) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(663,171) x common factors =3 x 1 = 3
LCM(663,171) = ( 663 × 171 ) / 3
LCM(663,171) = 113373 / 3
LCM(663,171) = 37791
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FAQs on GCF of Fractions of 1860/663, 5375/171
1. What is the HCF of 1860,5375?
The HCF of 1860,5375 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 1860/663, 5375/171?
Answer: GCF of Numerators as per given numbers 1860/663, 5375/171 is
GCF of Numerators i.e. for 1860,5375 is 5
LCM of denominators i.e. for 663,171 is 37791.
Thus, GCF of Fractions is 5/37791.Finally, GCF of Fractions for 1860/663, 5375/171 is 5/37791.