GCF of 5164/138, 1337/7456
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5164/138, 1337/7456 i.e 1/514464 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5164/138, 1337/7456.
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 5164/138,1337/7456?
Given fractions are 5164/138,1337/7456
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 5164/138,1337/7456, numerators are 5164,1337
Denominators are 138,7456
The GCF of 5164,1337 is 1 .
LCM of 138,7456 is 514464.
The greatest common factor of 5164/138,1337/7456 = [GCF of 5164,1337]/[LCM of 138,7456]= 1/514464
Therefore, the GCF of 5164/138,1337/7456 is 1/514464.
To find the highest common factor of 5164,1337, we have to find the factors of both numbers and list the highest common factor.
The factors of 5164 are 1, 2, 4, 1291, 2582, 5164
The factors of 1337 are 1, 7, 191, 1337
The HCF of 5164,1337 is 1.
Lets's calculate GCF of 5164,1337
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5164,1337 By Matching Biggest Common Factor Method
Now, list down the factors of 5164
:1,2,4,1291,2582,5164
Now, list down the factors of 1337
:1,7,191,1337
Greatest Common Factor
We found the factors 5164,1337 . The biggest common factor number is the GCF number.
So the greatest common factor 5164,1337 is 1.
Lets's calculate LCM of 138,7456
| 2 | 138, 7456 |
| 69, 3728 |
∴ So the LCM of the given numbers is 2 x 69 x 3728 = 514464
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/514464
Therefore, the GCF of Fractions 5164/138,1337/7456 is 1/514464
Least Common Multiple of 138,7456 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 138,7456 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(138,7456) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(138,7456) x common factors =2 x 1 = 2
LCM(138,7456) = ( 138 × 7456 ) / 2
LCM(138,7456) = 1028928 / 2
LCM(138,7456) = 514464
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FAQs on GCF of Fractions of 5164/138, 1337/7456
1. What is the HCF of 5164,1337?
The HCF of 5164,1337 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 5164/138, 1337/7456?
Answer: GCF of Numerators as per given numbers 5164/138, 1337/7456 is
GCF of Numerators i.e. for 5164,1337 is 1
LCM of denominators i.e. for 138,7456 is 514464.
Thus, GCF of Fractions is 1/514464.Finally, GCF of Fractions for 5164/138, 1337/7456 is 1/514464.