GCF of 1054/407, 5193/2237
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1054/407, 5193/2237 i.e 1/910459 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1054/407, 5193/2237.
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 1054/407,5193/2237?
Given fractions are 1054/407,5193/2237
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 1054/407,5193/2237, numerators are 1054,5193
Denominators are 407,2237
The GCF of 1054,5193 is 1 .
LCM of 407,2237 is 910459.
The greatest common factor of 1054/407,5193/2237 = [GCF of 1054,5193]/[LCM of 407,2237]= 1/910459
Therefore, the GCF of 1054/407,5193/2237 is 1/910459.
To find the highest common factor of 1054,5193, we have to find the factors of both numbers and list the highest common factor.
The factors of 1054 are 1, 2, 17, 31, 34, 62, 527, 1054
The factors of 5193 are 1, 3, 9, 577, 1731, 5193
The HCF of 1054,5193 is 1.
Lets's calculate GCF of 1054,5193
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 1054,5193 By Matching Biggest Common Factor Method
Now, list down the factors of 1054
:1,2,17,31,34,62,527,1054
Now, list down the factors of 5193
:1,3,9,577,1731,5193
Greatest Common Factor
We found the factors 1054,5193 . The biggest common factor number is the GCF number.
So the greatest common factor 1054,5193 is 1.
Lets's calculate LCM of 407,2237
Given numbers has no common factors except 1. So, there LCM is their product i.e 910459
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/910459
Therefore, the GCF of Fractions 1054/407,5193/2237 is 1/910459
Least Common Multiple of 407,2237 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 407,2237 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(407,2237) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(407,2237) x common factors =1 x 1 = 1
LCM(407,2237) = ( 407 × 2237 ) / 1
LCM(407,2237) = 910459 / 1
LCM(407,2237) = 910459
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FAQs on GCF of Fractions of 1054/407, 5193/2237
1. What is the HCF of 1054,5193?
The HCF of 1054,5193 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 1054/407, 5193/2237?
Answer: GCF of Numerators as per given numbers 1054/407, 5193/2237 is
GCF of Numerators i.e. for 1054,5193 is 1
LCM of denominators i.e. for 407,2237 is 910459.
Thus, GCF of Fractions is 1/910459.Finally, GCF of Fractions for 1054/407, 5193/2237 is 1/910459.