GCF of 3587/390, 5486/1255
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3587/390, 5486/1255 i.e 211/97890 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3587/390, 5486/1255.
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 3587/390,5486/1255?
Given fractions are 3587/390,5486/1255
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 3587/390,5486/1255, numerators are 3587,5486
Denominators are 390,1255
The GCF of 3587,5486 is 211 .
LCM of 390,1255 is 97890.
The greatest common factor of 3587/390,5486/1255 = [GCF of 3587,5486]/[LCM of 390,1255]= 211/97890
Therefore, the GCF of 3587/390,5486/1255 is 211/97890.
To find the highest common factor of 3587,5486, we have to find the factors of both numbers and list the highest common factor.
The factors of 3587 are 1, 17, 211, 3587
The factors of 5486 are 1, 2, 13, 26, 211, 422, 2743, 5486
The HCF of 3587,5486 is 211.
Lets's calculate GCF of 3587,5486
| 211 | 3587, 5486 |
| 17, 26 |
∴ So the GCF of the given numbers is 211 = 211
Greatest Common Factor of 3587,5486 By Matching Biggest Common Factor Method
Now, list down the factors of 3587
:1,17,211,3587
Now, list down the factors of 5486
:1,2,13,26,211,422,2743,5486
Greatest Common Factor
We found the factors 3587,5486 . The biggest common factor number is the GCF number.
So the greatest common factor 3587,5486 is 211.
Lets's calculate LCM of 390,1255
| 5 | 390, 1255 |
| 78, 251 |
∴ So the LCM of the given numbers is 5 x 78 x 251 = 97890
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 211/97890
Therefore, the GCF of Fractions 3587/390,5486/1255 is 211/97890
Least Common Multiple of 390,1255 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 390,1255 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(390,1255) = 5
common factors(in case of two or more numbers have common factors) = 1
GCF(390,1255) x common factors =5 x 1 = 5
LCM(390,1255) = ( 390 × 1255 ) / 5
LCM(390,1255) = 489450 / 5
LCM(390,1255) = 97890
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FAQs on GCF of Fractions of 3587/390, 5486/1255
1. What is the HCF of 3587,5486?
The HCF of 3587,5486 is 211
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 3587/390, 5486/1255?
Answer: GCF of Numerators as per given numbers 3587/390, 5486/1255 is
GCF of Numerators i.e. for 3587,5486 is 211
LCM of denominators i.e. for 390,1255 is 97890.
Thus, GCF of Fractions is 211/97890.Finally, GCF of Fractions for 3587/390, 5486/1255 is 211/97890.