GCF of 6140/632, 5555/686
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 6140/632, 5555/686 i.e 5/216776 easily. The following is the detailed procedure to determine the greatest common factor of fractions 6140/632, 5555/686.
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 6140/632,5555/686?
Given fractions are 6140/632,5555/686
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 6140/632,5555/686, numerators are 6140,5555
Denominators are 632,686
The GCF of 6140,5555 is 5 .
LCM of 632,686 is 216776.
The greatest common factor of 6140/632,5555/686 = [GCF of 6140,5555]/[LCM of 632,686]= 5/216776
Therefore, the GCF of 6140/632,5555/686 is 5/216776.
To find the highest common factor of 6140,5555, we have to find the factors of both numbers and list the highest common factor.
The factors of 6140 are 1, 2, 4, 5, 10, 20, 307, 614, 1228, 1535, 3070, 6140
The factors of 5555 are 1, 5, 11, 55, 101, 505, 1111, 5555
The HCF of 6140,5555 is 5.
Lets's calculate GCF of 6140,5555
| 5 | 6140, 5555 |
| 1228, 1111 |
∴ So the GCF of the given numbers is 5 = 5
Greatest Common Factor of 6140,5555 By Matching Biggest Common Factor Method
Now, list down the factors of 6140
:1,2,4,5,10,20,307,614,1228,1535,3070,6140
Now, list down the factors of 5555
:1,5,11,55,101,505,1111,5555
Greatest Common Factor
We found the factors 6140,5555 . The biggest common factor number is the GCF number.
So the greatest common factor 6140,5555 is 5.
Lets's calculate LCM of 632,686
| 2 | 632, 686 |
| 316, 343 |
∴ So the LCM of the given numbers is 2 x 316 x 343 = 216776
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 5/216776
Therefore, the GCF of Fractions 6140/632,5555/686 is 5/216776
Least Common Multiple of 632,686 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 632,686 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,686) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(632,686) x common factors =2 x 1 = 2
LCM(632,686) = ( 632 × 686 ) / 2
LCM(632,686) = 433552 / 2
LCM(632,686) = 216776
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FAQs on GCF of Fractions of 6140/632, 5555/686
1. What is the HCF of 6140,5555?
The HCF of 6140,5555 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 6140/632, 5555/686?
Answer: GCF of Numerators as per given numbers 6140/632, 5555/686 is
GCF of Numerators i.e. for 6140,5555 is 5
LCM of denominators i.e. for 632,686 is 216776.
Thus, GCF of Fractions is 5/216776.Finally, GCF of Fractions for 6140/632, 5555/686 is 5/216776.