GCF of 4638/973, 7217/9677
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4638/973, 7217/9677 i.e 1/9415721 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4638/973, 7217/9677.
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 4638/973,7217/9677?
Given fractions are 4638/973,7217/9677
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 4638/973,7217/9677, numerators are 4638,7217
Denominators are 973,9677
The GCF of 4638,7217 is 1 .
LCM of 973,9677 is 9415721.
The greatest common factor of 4638/973,7217/9677 = [GCF of 4638,7217]/[LCM of 973,9677]= 1/9415721
Therefore, the GCF of 4638/973,7217/9677 is 1/9415721.
To find the highest common factor of 4638,7217, we have to find the factors of both numbers and list the highest common factor.
The factors of 4638 are 1, 2, 3, 6, 773, 1546, 2319, 4638
The factors of 7217 are 1, 7, 1031, 7217
The HCF of 4638,7217 is 1.
Lets's calculate GCF of 4638,7217
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4638,7217 By Matching Biggest Common Factor Method
Now, list down the factors of 4638
:1,2,3,6,773,1546,2319,4638
Now, list down the factors of 7217
:1,7,1031,7217
Greatest Common Factor
We found the factors 4638,7217 . The biggest common factor number is the GCF number.
So the greatest common factor 4638,7217 is 1.
Lets's calculate LCM of 973,9677
Given numbers has no common factors except 1. So, there LCM is their product i.e 9415721
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/9415721
Therefore, the GCF of Fractions 4638/973,7217/9677 is 1/9415721
Least Common Multiple of 973,9677 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 973,9677 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(973,9677) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(973,9677) x common factors =1 x 1 = 1
LCM(973,9677) = ( 973 × 9677 ) / 1
LCM(973,9677) = 9415721 / 1
LCM(973,9677) = 9415721
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FAQs on GCF of Fractions of 4638/973, 7217/9677
1. What is the HCF of 4638,7217?
The HCF of 4638,7217 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 4638/973, 7217/9677?
Answer: GCF of Numerators as per given numbers 4638/973, 7217/9677 is
GCF of Numerators i.e. for 4638,7217 is 1
LCM of denominators i.e. for 973,9677 is 9415721.
Thus, GCF of Fractions is 1/9415721.Finally, GCF of Fractions for 4638/973, 7217/9677 is 1/9415721.