GCF of 5955/806, 3127/5182
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5955/806, 3127/5182 i.e 1/2088346 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5955/806, 3127/5182.
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 5955/806,3127/5182?
Given fractions are 5955/806,3127/5182
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 5955/806,3127/5182, numerators are 5955,3127
Denominators are 806,5182
The GCF of 5955,3127 is 1 .
LCM of 806,5182 is 2088346.
The greatest common factor of 5955/806,3127/5182 = [GCF of 5955,3127]/[LCM of 806,5182]= 1/2088346
Therefore, the GCF of 5955/806,3127/5182 is 1/2088346.
To find the highest common factor of 5955,3127, we have to find the factors of both numbers and list the highest common factor.
The factors of 5955 are 1, 3, 5, 15, 397, 1191, 1985, 5955
The factors of 3127 are 1, 53, 59, 3127
The HCF of 5955,3127 is 1.
Lets's calculate GCF of 5955,3127
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5955,3127 By Matching Biggest Common Factor Method
Now, list down the factors of 5955
:1,3,5,15,397,1191,1985,5955
Now, list down the factors of 3127
:1,53,59,3127
Greatest Common Factor
We found the factors 5955,3127 . The biggest common factor number is the GCF number.
So the greatest common factor 5955,3127 is 1.
Lets's calculate LCM of 806,5182
| 2 | 806, 5182 |
| 403, 2591 |
∴ So the LCM of the given numbers is 2 x 403 x 2591 = 2088346
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/2088346
Therefore, the GCF of Fractions 5955/806,3127/5182 is 1/2088346
Least Common Multiple of 806,5182 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 806,5182 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(806,5182) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(806,5182) x common factors =2 x 1 = 2
LCM(806,5182) = ( 806 × 5182 ) / 2
LCM(806,5182) = 4176692 / 2
LCM(806,5182) = 2088346
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FAQs on GCF of Fractions of 5955/806, 3127/5182
1. What is the HCF of 5955,3127?
The HCF of 5955,3127 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 5955/806, 3127/5182?
Answer: GCF of Numerators as per given numbers 5955/806, 3127/5182 is
GCF of Numerators i.e. for 5955,3127 is 1
LCM of denominators i.e. for 806,5182 is 2088346.
Thus, GCF of Fractions is 1/2088346.Finally, GCF of Fractions for 5955/806, 3127/5182 is 1/2088346.