GCF of 6241/842, 5415/4900
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6241/842, 5415/4900 i.e 1/2062900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6241/842, 5415/4900.
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 6241/842,5415/4900?
Given fractions are 6241/842,5415/4900
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 6241/842,5415/4900, numerators are 6241,5415
Denominators are 842,4900
The GCF of 6241,5415 is 1 .
LCM of 842,4900 is 2062900.
The greatest common factor of 6241/842,5415/4900 = [GCF of 6241,5415]/[LCM of 842,4900]= 1/2062900
Therefore, the GCF of 6241/842,5415/4900 is 1/2062900.
To find the highest common factor of 6241,5415, we have to find the factors of both numbers and list the highest common factor.
The factors of 6241 are 1, 79, 6241
The factors of 5415 are 1, 3, 5, 15, 19, 57, 95, 285, 361, 1083, 1805, 5415
The HCF of 6241,5415 is 1.
Lets's calculate GCF of 6241,5415
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 6241,5415 By Matching Biggest Common Factor Method
Now, list down the factors of 6241
:1,79,6241
Now, list down the factors of 5415
:1,3,5,15,19,57,95,285,361,1083,1805,5415
Greatest Common Factor
We found the factors 6241,5415 . The biggest common factor number is the GCF number.
So the greatest common factor 6241,5415 is 1.
Lets's calculate LCM of 842,4900
| 2 | 842, 4900 |
| 421, 2450 |
∴ So the LCM of the given numbers is 2 x 421 x 2450 = 2062900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2062900
Therefore, the GCF of Fractions 6241/842,5415/4900 is 1/2062900
Least Common Multiple of 842,4900 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 842,4900 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(842,4900) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(842,4900) x common factors =2 x 1 = 2
LCM(842,4900) = ( 842 × 4900 ) / 2
LCM(842,4900) = 4125800 / 2
LCM(842,4900) = 2062900
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FAQs on GCF of Fractions of 6241/842, 5415/4900
1. What is the HCF of 6241,5415?
The HCF of 6241,5415 is 1
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 6241/842, 5415/4900?
Answer: GCF of Numerators as per given numbers 6241/842, 5415/4900 is
GCF of Numerators i.e. for 6241,5415 is 1
LCM of denominators i.e. for 842,4900 is 2062900.
Thus, GCF of Fractions is 1/2062900.Finally, GCF of Fractions for 6241/842, 5415/4900 is 1/2062900.