GCF of 4984/522, 7923/217
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4984/522, 7923/217 i.e 1/113274 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4984/522, 7923/217.
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 4984/522,7923/217?
Given fractions are 4984/522,7923/217
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 4984/522,7923/217, numerators are 4984,7923
Denominators are 522,217
The GCF of 4984,7923 is 1 .
LCM of 522,217 is 113274.
The greatest common factor of 4984/522,7923/217 = [GCF of 4984,7923]/[LCM of 522,217]= 1/113274
Therefore, the GCF of 4984/522,7923/217 is 1/113274.
To find the highest common factor of 4984,7923, we have to find the factors of both numbers and list the highest common factor.
The factors of 4984 are 1, 2, 4, 7, 8, 14, 28, 56, 89, 178, 356, 623, 712, 1246, 2492, 4984
The factors of 7923 are 1, 3, 19, 57, 139, 417, 2641, 7923
The HCF of 4984,7923 is 1.
Lets's calculate GCF of 4984,7923
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4984,7923 By Matching Biggest Common Factor Method
Now, list down the factors of 4984
:1,2,4,7,8,14,28,56,89,178,356,623,712,1246,2492,4984
Now, list down the factors of 7923
:1,3,19,57,139,417,2641,7923
Greatest Common Factor
We found the factors 4984,7923 . The biggest common factor number is the GCF number.
So the greatest common factor 4984,7923 is 1.
Lets's calculate LCM of 522,217
Given numbers has no common factors except 1. So, there LCM is their product i.e 113274
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/113274
Therefore, the GCF of Fractions 4984/522,7923/217 is 1/113274
Least Common Multiple of 522,217 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 522,217 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(522,217) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(522,217) x common factors =1 x 1 = 1
LCM(522,217) = ( 522 × 217 ) / 1
LCM(522,217) = 113274 / 1
LCM(522,217) = 113274
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FAQs on GCF of Fractions of 4984/522, 7923/217
1. What is the HCF of 4984,7923?
The HCF of 4984,7923 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 4984/522, 7923/217?
Answer: GCF of Numerators as per given numbers 4984/522, 7923/217 is
GCF of Numerators i.e. for 4984,7923 is 1
LCM of denominators i.e. for 522,217 is 113274.
Thus, GCF of Fractions is 1/113274.Finally, GCF of Fractions for 4984/522, 7923/217 is 1/113274.