GCF of 7439/976, 5014/1371
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7439/976, 5014/1371 i.e 1/1338096 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7439/976, 5014/1371.
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 7439/976,5014/1371?
Given fractions are 7439/976,5014/1371
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 7439/976,5014/1371, numerators are 7439,5014
Denominators are 976,1371
The GCF of 7439,5014 is 1 .
LCM of 976,1371 is 1338096.
The greatest common factor of 7439/976,5014/1371 = [GCF of 7439,5014]/[LCM of 976,1371]= 1/1338096
Therefore, the GCF of 7439/976,5014/1371 is 1/1338096.
To find the highest common factor of 7439,5014, we have to find the factors of both numbers and list the highest common factor.
The factors of 7439 are 1, 43, 173, 7439
The factors of 5014 are 1, 2, 23, 46, 109, 218, 2507, 5014
The HCF of 7439,5014 is 1.
Lets's calculate GCF of 7439,5014
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7439,5014 By Matching Biggest Common Factor Method
Now, list down the factors of 7439
:1,43,173,7439
Now, list down the factors of 5014
:1,2,23,46,109,218,2507,5014
Greatest Common Factor
We found the factors 7439,5014 . The biggest common factor number is the GCF number.
So the greatest common factor 7439,5014 is 1.
Lets's calculate LCM of 976,1371
Given numbers has no common factors except 1. So, there LCM is their product i.e 1338096
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1338096
Therefore, the GCF of Fractions 7439/976,5014/1371 is 1/1338096
Least Common Multiple of 976,1371 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 976,1371 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(976,1371) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(976,1371) x common factors =1 x 1 = 1
LCM(976,1371) = ( 976 × 1371 ) / 1
LCM(976,1371) = 1338096 / 1
LCM(976,1371) = 1338096
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FAQs on GCF of Fractions of 7439/976, 5014/1371
1. What is the HCF of 7439,5014?
The HCF of 7439,5014 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 7439/976, 5014/1371?
Answer: GCF of Numerators as per given numbers 7439/976, 5014/1371 is
GCF of Numerators i.e. for 7439,5014 is 1
LCM of denominators i.e. for 976,1371 is 1338096.
Thus, GCF of Fractions is 1/1338096.Finally, GCF of Fractions for 7439/976, 5014/1371 is 1/1338096.