GCF of 5431/694, 5990/2142
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5431/694, 5990/2142 i.e 1/743274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5431/694, 5990/2142.
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 5431/694,5990/2142?
Given fractions are 5431/694,5990/2142
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 5431/694,5990/2142, numerators are 5431,5990
Denominators are 694,2142
The GCF of 5431,5990 is 1 .
LCM of 694,2142 is 743274.
The greatest common factor of 5431/694,5990/2142 = [GCF of 5431,5990]/[LCM of 694,2142]= 1/743274
Therefore, the GCF of 5431/694,5990/2142 is 1/743274.
To find the highest common factor of 5431,5990, we have to find the factors of both numbers and list the highest common factor.
The factors of 5431 are 1, 5431
The factors of 5990 are 1, 2, 5, 10, 599, 1198, 2995, 5990
The HCF of 5431,5990 is 1.
Lets's calculate GCF of 5431,5990
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5431,5990 By Matching Biggest Common Factor Method
Now, list down the factors of 5431
:1,5431
Now, list down the factors of 5990
:1,2,5,10,599,1198,2995,5990
Greatest Common Factor
We found the factors 5431,5990 . The biggest common factor number is the GCF number.
So the greatest common factor 5431,5990 is 1.
Lets's calculate LCM of 694,2142
| 2 | 694, 2142 |
| 347, 1071 |
∴ So the LCM of the given numbers is 2 x 347 x 1071 = 743274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/743274
Therefore, the GCF of Fractions 5431/694,5990/2142 is 1/743274
Least Common Multiple of 694,2142 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 694,2142 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(694,2142) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(694,2142) x common factors =2 x 1 = 2
LCM(694,2142) = ( 694 × 2142 ) / 2
LCM(694,2142) = 1486548 / 2
LCM(694,2142) = 743274
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FAQs on GCF of Fractions of 5431/694, 5990/2142
1. What is the HCF of 5431,5990?
The HCF of 5431,5990 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 5431/694, 5990/2142?
Answer: GCF of Numerators as per given numbers 5431/694, 5990/2142 is
GCF of Numerators i.e. for 5431,5990 is 1
LCM of denominators i.e. for 694,2142 is 743274.
Thus, GCF of Fractions is 1/743274.Finally, GCF of Fractions for 5431/694, 5990/2142 is 1/743274.