GCF of 2671/417, 5373/304
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2671/417, 5373/304 i.e 1/126768 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2671/417, 5373/304.
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 2671/417,5373/304?
Given fractions are 2671/417,5373/304
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 2671/417,5373/304, numerators are 2671,5373
Denominators are 417,304
The GCF of 2671,5373 is 1 .
LCM of 417,304 is 126768.
The greatest common factor of 2671/417,5373/304 = [GCF of 2671,5373]/[LCM of 417,304]= 1/126768
Therefore, the GCF of 2671/417,5373/304 is 1/126768.
To find the highest common factor of 2671,5373, we have to find the factors of both numbers and list the highest common factor.
The factors of 2671 are 1, 2671
The factors of 5373 are 1, 3, 9, 27, 199, 597, 1791, 5373
The HCF of 2671,5373 is 1.
Lets's calculate GCF of 2671,5373
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2671,5373 By Matching Biggest Common Factor Method
Now, list down the factors of 2671
:1,2671
Now, list down the factors of 5373
:1,3,9,27,199,597,1791,5373
Greatest Common Factor
We found the factors 2671,5373 . The biggest common factor number is the GCF number.
So the greatest common factor 2671,5373 is 1.
Lets's calculate LCM of 417,304
Given numbers has no common factors except 1. So, there LCM is their product i.e 126768
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/126768
Therefore, the GCF of Fractions 2671/417,5373/304 is 1/126768
Least Common Multiple of 417,304 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 417,304 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(417,304) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(417,304) x common factors =1 x 1 = 1
LCM(417,304) = ( 417 × 304 ) / 1
LCM(417,304) = 126768 / 1
LCM(417,304) = 126768
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FAQs on GCF of Fractions of 2671/417, 5373/304
1. What is the HCF of 2671,5373?
The HCF of 2671,5373 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 2671/417, 5373/304?
Answer: GCF of Numerators as per given numbers 2671/417, 5373/304 is
GCF of Numerators i.e. for 2671,5373 is 1
LCM of denominators i.e. for 417,304 is 126768.
Thus, GCF of Fractions is 1/126768.Finally, GCF of Fractions for 2671/417, 5373/304 is 1/126768.