GCF of 8074/297, 2257/1477
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8074/297, 2257/1477 i.e 1/438669 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8074/297, 2257/1477.
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 8074/297,2257/1477?
Given fractions are 8074/297,2257/1477
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 8074/297,2257/1477, numerators are 8074,2257
Denominators are 297,1477
The GCF of 8074,2257 is 1 .
LCM of 297,1477 is 438669.
The greatest common factor of 8074/297,2257/1477 = [GCF of 8074,2257]/[LCM of 297,1477]= 1/438669
Therefore, the GCF of 8074/297,2257/1477 is 1/438669.
To find the highest common factor of 8074,2257, we have to find the factors of both numbers and list the highest common factor.
The factors of 8074 are 1, 2, 11, 22, 367, 734, 4037, 8074
The factors of 2257 are 1, 37, 61, 2257
The HCF of 8074,2257 is 1.
Lets's calculate GCF of 8074,2257
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 8074,2257 By Matching Biggest Common Factor Method
Now, list down the factors of 8074
:1,2,11,22,367,734,4037,8074
Now, list down the factors of 2257
:1,37,61,2257
Greatest Common Factor
We found the factors 8074,2257 . The biggest common factor number is the GCF number.
So the greatest common factor 8074,2257 is 1.
Lets's calculate LCM of 297,1477
Given numbers has no common factors except 1. So, there LCM is their product i.e 438669
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/438669
Therefore, the GCF of Fractions 8074/297,2257/1477 is 1/438669
Least Common Multiple of 297,1477 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 297,1477 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(297,1477) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(297,1477) x common factors =1 x 1 = 1
LCM(297,1477) = ( 297 × 1477 ) / 1
LCM(297,1477) = 438669 / 1
LCM(297,1477) = 438669
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FAQs on GCF of Fractions of 8074/297, 2257/1477
1. What is the HCF of 8074,2257?
The HCF of 8074,2257 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 8074/297, 2257/1477?
Answer: GCF of Numerators as per given numbers 8074/297, 2257/1477 is
GCF of Numerators i.e. for 8074,2257 is 1
LCM of denominators i.e. for 297,1477 is 438669.
Thus, GCF of Fractions is 1/438669.Finally, GCF of Fractions for 8074/297, 2257/1477 is 1/438669.