GCF of 5473/268, 4926/381
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5473/268, 4926/381 i.e 1/102108 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5473/268, 4926/381.
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 5473/268,4926/381?
Given fractions are 5473/268,4926/381
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 5473/268,4926/381, numerators are 5473,4926
Denominators are 268,381
The GCF of 5473,4926 is 1 .
LCM of 268,381 is 102108.
The greatest common factor of 5473/268,4926/381 = [GCF of 5473,4926]/[LCM of 268,381]= 1/102108
Therefore, the GCF of 5473/268,4926/381 is 1/102108.
To find the highest common factor of 5473,4926, we have to find the factors of both numbers and list the highest common factor.
The factors of 5473 are 1, 13, 421, 5473
The factors of 4926 are 1, 2, 3, 6, 821, 1642, 2463, 4926
The HCF of 5473,4926 is 1.
Lets's calculate GCF of 5473,4926
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5473,4926 By Matching Biggest Common Factor Method
Now, list down the factors of 5473
:1,13,421,5473
Now, list down the factors of 4926
:1,2,3,6,821,1642,2463,4926
Greatest Common Factor
We found the factors 5473,4926 . The biggest common factor number is the GCF number.
So the greatest common factor 5473,4926 is 1.
Lets's calculate LCM of 268,381
Given numbers has no common factors except 1. So, there LCM is their product i.e 102108
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/102108
Therefore, the GCF of Fractions 5473/268,4926/381 is 1/102108
Least Common Multiple of 268,381 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 268,381 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(268,381) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(268,381) x common factors =1 x 1 = 1
LCM(268,381) = ( 268 × 381 ) / 1
LCM(268,381) = 102108 / 1
LCM(268,381) = 102108
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FAQs on GCF of Fractions of 5473/268, 4926/381
1. What is the HCF of 5473,4926?
The HCF of 5473,4926 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 5473/268, 4926/381?
Answer: GCF of Numerators as per given numbers 5473/268, 4926/381 is
GCF of Numerators i.e. for 5473,4926 is 1
LCM of denominators i.e. for 268,381 is 102108.
Thus, GCF of Fractions is 1/102108.Finally, GCF of Fractions for 5473/268, 4926/381 is 1/102108.