GCF of 7940/748, 5061/5425
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 7940/748, 5061/5425 i.e 1/4057900 easily. The following is the detailed procedure to determine the greatest common factor of fractions 7940/748, 5061/5425.
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 7940/748,5061/5425?
Given fractions are 7940/748,5061/5425
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 7940/748,5061/5425, numerators are 7940,5061
Denominators are 748,5425
The GCF of 7940,5061 is 1 .
LCM of 748,5425 is 4057900.
The greatest common factor of 7940/748,5061/5425 = [GCF of 7940,5061]/[LCM of 748,5425]= 1/4057900
Therefore, the GCF of 7940/748,5061/5425 is 1/4057900.
To find the highest common factor of 7940,5061, we have to find the factors of both numbers and list the highest common factor.
The factors of 7940 are 1, 2, 4, 5, 10, 20, 397, 794, 1588, 1985, 3970, 7940
The factors of 5061 are 1, 3, 7, 21, 241, 723, 1687, 5061
The HCF of 7940,5061 is 1.
Lets's calculate GCF of 7940,5061
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 7940,5061 By Matching Biggest Common Factor Method
Now, list down the factors of 7940
:1,2,4,5,10,20,397,794,1588,1985,3970,7940
Now, list down the factors of 5061
:1,3,7,21,241,723,1687,5061
Greatest Common Factor
We found the factors 7940,5061 . The biggest common factor number is the GCF number.
So the greatest common factor 7940,5061 is 1.
Lets's calculate LCM of 748,5425
Given numbers has no common factors except 1. So, there LCM is their product i.e 4057900
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/4057900
Therefore, the GCF of Fractions 7940/748,5061/5425 is 1/4057900
Least Common Multiple of 748,5425 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 748,5425 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(748,5425) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(748,5425) x common factors =1 x 1 = 1
LCM(748,5425) = ( 748 × 5425 ) / 1
LCM(748,5425) = 4057900 / 1
LCM(748,5425) = 4057900
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FAQs on GCF of Fractions of 7940/748, 5061/5425
1. What is the HCF of 7940,5061?
The HCF of 7940,5061 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 7940/748, 5061/5425?
Answer: GCF of Numerators as per given numbers 7940/748, 5061/5425 is
GCF of Numerators i.e. for 7940,5061 is 1
LCM of denominators i.e. for 748,5425 is 4057900.
Thus, GCF of Fractions is 1/4057900.Finally, GCF of Fractions for 7940/748, 5061/5425 is 1/4057900.