GCF of 301/497, 663/276
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 301/497, 663/276 i.e 1/137172 easily. The following is the detailed procedure to determine the greatest common factor of fractions 301/497, 663/276.
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 301/497,663/276?
Given fractions are 301/497,663/276
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 301/497,663/276, numerators are 301,663
Denominators are 497,276
The GCF of 301,663 is 1 .
LCM of 497,276 is 137172.
The greatest common factor of 301/497,663/276 = [GCF of 301,663]/[LCM of 497,276]= 1/137172
Therefore, the GCF of 301/497,663/276 is 1/137172.
To find the highest common factor of 301,663, we have to find the factors of both numbers and list the highest common factor.
The factors of 301 are 1, 7, 43, 301
The factors of 663 are 1, 3, 13, 17, 39, 51, 221, 663
The HCF of 301,663 is 1.
Lets's calculate GCF of 301,663
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 301,663 By Matching Biggest Common Factor Method
Now, list down the factors of 301
:1,7,43,301
Now, list down the factors of 663
:1,3,13,17,39,51,221,663
Greatest Common Factor
We found the factors 301,663 . The biggest common factor number is the GCF number.
So the greatest common factor 301,663 is 1.
Lets's calculate LCM of 497,276
Given numbers has no common factors except 1. So, there LCM is their product i.e 137172
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/137172
Therefore, the GCF of Fractions 301/497,663/276 is 1/137172
Least Common Multiple of 497,276 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 497,276 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(497,276) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(497,276) x common factors =1 x 1 = 1
LCM(497,276) = ( 497 × 276 ) / 1
LCM(497,276) = 137172 / 1
LCM(497,276) = 137172
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FAQs on GCF of Fractions of 301/497, 663/276
1. What is the HCF of 301,663?
The HCF of 301,663 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 301/497, 663/276?
Answer: GCF of Numerators as per given numbers 301/497, 663/276 is
GCF of Numerators i.e. for 301,663 is 1
LCM of denominators i.e. for 497,276 is 137172.
Thus, GCF of Fractions is 1/137172.Finally, GCF of Fractions for 301/497, 663/276 is 1/137172.