GCF of 4957/819, 2516/8258
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4957/819, 2516/8258 i.e 1/6763302 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4957/819, 2516/8258.
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 4957/819,2516/8258?
Given fractions are 4957/819,2516/8258
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 4957/819,2516/8258, numerators are 4957,2516
Denominators are 819,8258
The GCF of 4957,2516 is 1 .
LCM of 819,8258 is 6763302.
The greatest common factor of 4957/819,2516/8258 = [GCF of 4957,2516]/[LCM of 819,8258]= 1/6763302
Therefore, the GCF of 4957/819,2516/8258 is 1/6763302.
To find the highest common factor of 4957,2516, we have to find the factors of both numbers and list the highest common factor.
The factors of 4957 are 1, 4957
The factors of 2516 are 1, 2, 4, 17, 34, 37, 68, 74, 148, 629, 1258, 2516
The HCF of 4957,2516 is 1.
Lets's calculate GCF of 4957,2516
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4957,2516 By Matching Biggest Common Factor Method
Now, list down the factors of 4957
:1,4957
Now, list down the factors of 2516
:1,2,4,17,34,37,68,74,148,629,1258,2516
Greatest Common Factor
We found the factors 4957,2516 . The biggest common factor number is the GCF number.
So the greatest common factor 4957,2516 is 1.
Lets's calculate LCM of 819,8258
Given numbers has no common factors except 1. So, there LCM is their product i.e 6763302
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/6763302
Therefore, the GCF of Fractions 4957/819,2516/8258 is 1/6763302
Least Common Multiple of 819,8258 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 819,8258 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(819,8258) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(819,8258) x common factors =1 x 1 = 1
LCM(819,8258) = ( 819 × 8258 ) / 1
LCM(819,8258) = 6763302 / 1
LCM(819,8258) = 6763302
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FAQs on GCF of Fractions of 4957/819, 2516/8258
1. What is the HCF of 4957,2516?
The HCF of 4957,2516 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 4957/819, 2516/8258?
Answer: GCF of Numerators as per given numbers 4957/819, 2516/8258 is
GCF of Numerators i.e. for 4957,2516 is 1
LCM of denominators i.e. for 819,8258 is 6763302.
Thus, GCF of Fractions is 1/6763302.Finally, GCF of Fractions for 4957/819, 2516/8258 is 1/6763302.