GCF of 4029/787, 7942/5887
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4029/787, 7942/5887 i.e 1/4633069 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4029/787, 7942/5887.
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 4029/787,7942/5887?
Given fractions are 4029/787,7942/5887
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 4029/787,7942/5887, numerators are 4029,7942
Denominators are 787,5887
The GCF of 4029,7942 is 1 .
LCM of 787,5887 is 4633069.
The greatest common factor of 4029/787,7942/5887 = [GCF of 4029,7942]/[LCM of 787,5887]= 1/4633069
Therefore, the GCF of 4029/787,7942/5887 is 1/4633069.
To find the highest common factor of 4029,7942, we have to find the factors of both numbers and list the highest common factor.
The factors of 4029 are 1, 3, 17, 51, 79, 237, 1343, 4029
The factors of 7942 are 1, 2, 11, 19, 22, 38, 209, 361, 418, 722, 3971, 7942
The HCF of 4029,7942 is 1.
Lets's calculate GCF of 4029,7942
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4029,7942 By Matching Biggest Common Factor Method
Now, list down the factors of 4029
:1,3,17,51,79,237,1343,4029
Now, list down the factors of 7942
:1,2,11,19,22,38,209,361,418,722,3971,7942
Greatest Common Factor
We found the factors 4029,7942 . The biggest common factor number is the GCF number.
So the greatest common factor 4029,7942 is 1.
Lets's calculate LCM of 787,5887
Given numbers has no common factors except 1. So, there LCM is their product i.e 4633069
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4633069
Therefore, the GCF of Fractions 4029/787,7942/5887 is 1/4633069
Least Common Multiple of 787,5887 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 787,5887 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(787,5887) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(787,5887) x common factors =1 x 1 = 1
LCM(787,5887) = ( 787 × 5887 ) / 1
LCM(787,5887) = 4633069 / 1
LCM(787,5887) = 4633069
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FAQs on GCF of Fractions of 4029/787, 7942/5887
1. What is the HCF of 4029,7942?
The HCF of 4029,7942 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 4029/787, 7942/5887?
Answer: GCF of Numerators as per given numbers 4029/787, 7942/5887 is
GCF of Numerators i.e. for 4029,7942 is 1
LCM of denominators i.e. for 787,5887 is 4633069.
Thus, GCF of Fractions is 1/4633069.Finally, GCF of Fractions for 4029/787, 7942/5887 is 1/4633069.