GCF of 2918/689, 5977/3887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2918/689, 5977/3887 i.e 1/206011 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2918/689, 5977/3887.
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 2918/689,5977/3887?
Given fractions are 2918/689,5977/3887
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 2918/689,5977/3887, numerators are 2918,5977
Denominators are 689,3887
The GCF of 2918,5977 is 1 .
LCM of 689,3887 is 206011.
The greatest common factor of 2918/689,5977/3887 = [GCF of 2918,5977]/[LCM of 689,3887]= 1/206011
Therefore, the GCF of 2918/689,5977/3887 is 1/206011.
To find the highest common factor of 2918,5977, we have to find the factors of both numbers and list the highest common factor.
The factors of 2918 are 1, 2, 1459, 2918
The factors of 5977 are 1, 43, 139, 5977
The HCF of 2918,5977 is 1.
Lets's calculate GCF of 2918,5977
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2918,5977 By Matching Biggest Common Factor Method
Now, list down the factors of 2918
:1,2,1459,2918
Now, list down the factors of 5977
:1,43,139,5977
Greatest Common Factor
We found the factors 2918,5977 . The biggest common factor number is the GCF number.
So the greatest common factor 2918,5977 is 1.
Lets's calculate LCM of 689,3887
| 13 | 689, 3887 |
| 53, 299 |
∴ So the LCM of the given numbers is 13 x 53 x 299 = 206011
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/206011
Therefore, the GCF of Fractions 2918/689,5977/3887 is 1/206011
Least Common Multiple of 689,3887 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 689,3887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(689,3887) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(689,3887) x common factors =13 x 1 = 13
LCM(689,3887) = ( 689 × 3887 ) / 13
LCM(689,3887) = 2678143 / 13
LCM(689,3887) = 206011
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FAQs on GCF of Fractions of 2918/689, 5977/3887
1. What is the HCF of 2918,5977?
The HCF of 2918,5977 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 2918/689, 5977/3887?
Answer: GCF of Numerators as per given numbers 2918/689, 5977/3887 is
GCF of Numerators i.e. for 2918,5977 is 1
LCM of denominators i.e. for 689,3887 is 206011.
Thus, GCF of Fractions is 1/206011.Finally, GCF of Fractions for 2918/689, 5977/3887 is 1/206011.