GCF of 497/47, 734/6979
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 497/47, 734/6979 i.e 1/328013 easily. The following is the detailed procedure to determine the greatest common factor of fractions 497/47, 734/6979.
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 497/47,734/6979?
Given fractions are 497/47,734/6979
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 497/47,734/6979, numerators are 497,734
Denominators are 47,6979
The GCF of 497,734 is 1 .
LCM of 47,6979 is 328013.
The greatest common factor of 497/47,734/6979 = [GCF of 497,734]/[LCM of 47,6979]= 1/328013
Therefore, the GCF of 497/47,734/6979 is 1/328013.
To find the highest common factor of 497,734, we have to find the factors of both numbers and list the highest common factor.
The factors of 497 are 1, 7, 71, 497
The factors of 734 are 1, 2, 367, 734
The HCF of 497,734 is 1.
Lets's calculate GCF of 497,734
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 497,734 By Matching Biggest Common Factor Method
Now, list down the factors of 497
:1,7,71,497
Now, list down the factors of 734
:1,2,367,734
Greatest Common Factor
We found the factors 497,734 . The biggest common factor number is the GCF number.
So the greatest common factor 497,734 is 1.
Lets's calculate LCM of 47,6979
Given numbers has no common factors except 1. So, there LCM is their product i.e 328013
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/328013
Therefore, the GCF of Fractions 497/47,734/6979 is 1/328013
Least Common Multiple of 47,6979 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 47,6979 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(47,6979) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(47,6979) x common factors =1 x 1 = 1
LCM(47,6979) = ( 47 × 6979 ) / 1
LCM(47,6979) = 328013 / 1
LCM(47,6979) = 328013
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FAQs on GCF of Fractions of 497/47, 734/6979
1. What is the HCF of 497,734?
The HCF of 497,734 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 497/47, 734/6979?
Answer: GCF of Numerators as per given numbers 497/47, 734/6979 is
GCF of Numerators i.e. for 497,734 is 1
LCM of denominators i.e. for 47,6979 is 328013.
Thus, GCF of Fractions is 1/328013.Finally, GCF of Fractions for 497/47, 734/6979 is 1/328013.