GCF of 487/634, 724/397
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 487/634, 724/397 i.e 1/251698 easily. The following is the detailed procedure to determine the greatest common factor of fractions 487/634, 724/397.
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 487/634,724/397?
Given fractions are 487/634,724/397
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 487/634,724/397, numerators are 487,724
Denominators are 634,397
The GCF of 487,724 is 1 .
LCM of 634,397 is 251698.
The greatest common factor of 487/634,724/397 = [GCF of 487,724]/[LCM of 634,397]= 1/251698
Therefore, the GCF of 487/634,724/397 is 1/251698.
To find the highest common factor of 487,724, we have to find the factors of both numbers and list the highest common factor.
The factors of 487 are 1, 487
The factors of 724 are 1, 2, 4, 181, 362, 724
The HCF of 487,724 is 1.
Lets's calculate GCF of 487,724
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 487,724 By Matching Biggest Common Factor Method
Now, list down the factors of 487
:1,487
Now, list down the factors of 724
:1,2,4,181,362,724
Greatest Common Factor
We found the factors 487,724 . The biggest common factor number is the GCF number.
So the greatest common factor 487,724 is 1.
Lets's calculate LCM of 634,397
Given numbers has no common factors except 1. So, there LCM is their product i.e 251698
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/251698
Therefore, the GCF of Fractions 487/634,724/397 is 1/251698
Least Common Multiple of 634,397 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 634,397 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(634,397) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(634,397) x common factors =1 x 1 = 1
LCM(634,397) = ( 634 × 397 ) / 1
LCM(634,397) = 251698 / 1
LCM(634,397) = 251698
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FAQs on GCF of Fractions of 487/634, 724/397
1. What is the HCF of 487,724?
The HCF of 487,724 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 487/634, 724/397?
Answer: GCF of Numerators as per given numbers 487/634, 724/397 is
GCF of Numerators i.e. for 487,724 is 1
LCM of denominators i.e. for 634,397 is 251698.
Thus, GCF of Fractions is 1/251698.Finally, GCF of Fractions for 487/634, 724/397 is 1/251698.