GCF of 491/757, 263/671
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 491/757, 263/671 i.e 1/507947 easily. The following is the detailed procedure to determine the greatest common factor of fractions 491/757, 263/671.
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 491/757,263/671?
Given fractions are 491/757,263/671
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 491/757,263/671, numerators are 491,263
Denominators are 757,671
The GCF of 491,263 is 1 .
LCM of 757,671 is 507947.
The greatest common factor of 491/757,263/671 = [GCF of 491,263]/[LCM of 757,671]= 1/507947
Therefore, the GCF of 491/757,263/671 is 1/507947.
To find the highest common factor of 491,263, we have to find the factors of both numbers and list the highest common factor.
The factors of 491 are 1, 491
The factors of 263 are 1, 263
The HCF of 491,263 is 1.
Lets's calculate GCF of 491,263
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 491,263 By Matching Biggest Common Factor Method
Now, list down the factors of 491
:1,491
Now, list down the factors of 263
:1,263
Greatest Common Factor
We found the factors 491,263 . The biggest common factor number is the GCF number.
So the greatest common factor 491,263 is 1.
Lets's calculate LCM of 757,671
Given numbers has no common factors except 1. So, there LCM is their product i.e 507947
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/507947
Therefore, the GCF of Fractions 491/757,263/671 is 1/507947
Least Common Multiple of 757,671 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 757,671 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(757,671) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(757,671) x common factors =1 x 1 = 1
LCM(757,671) = ( 757 × 671 ) / 1
LCM(757,671) = 507947 / 1
LCM(757,671) = 507947
GCF of Fractions Calculation Examples
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FAQs on GCF of Fractions of 491/757, 263/671
1. What is the HCF of 491,263?
The HCF of 491,263 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 491/757, 263/671?
Answer: GCF of Numerators as per given numbers 491/757, 263/671 is
GCF of Numerators i.e. for 491,263 is 1
LCM of denominators i.e. for 757,671 is 507947.
Thus, GCF of Fractions is 1/507947.Finally, GCF of Fractions for 491/757, 263/671 is 1/507947.