GCF of 2548/179, 4761/9156
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2548/179, 4761/9156 i.e 1/1638924 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2548/179, 4761/9156.
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 2548/179,4761/9156?
Given fractions are 2548/179,4761/9156
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 2548/179,4761/9156, numerators are 2548,4761
Denominators are 179,9156
The GCF of 2548,4761 is 1 .
LCM of 179,9156 is 1638924.
The greatest common factor of 2548/179,4761/9156 = [GCF of 2548,4761]/[LCM of 179,9156]= 1/1638924
Therefore, the GCF of 2548/179,4761/9156 is 1/1638924.
To find the highest common factor of 2548,4761, we have to find the factors of both numbers and list the highest common factor.
The factors of 2548 are 1, 2, 4, 7, 13, 14, 26, 28, 49, 52, 91, 98, 182, 196, 364, 637, 1274, 2548
The factors of 4761 are 1, 3, 9, 23, 69, 207, 529, 1587, 4761
The HCF of 2548,4761 is 1.
Lets's calculate GCF of 2548,4761
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2548,4761 By Matching Biggest Common Factor Method
Now, list down the factors of 2548
:1,2,4,7,13,14,26,28,49,52,91,98,182,196,364,637,1274,2548
Now, list down the factors of 4761
:1,3,9,23,69,207,529,1587,4761
Greatest Common Factor
We found the factors 2548,4761 . The biggest common factor number is the GCF number.
So the greatest common factor 2548,4761 is 1.
Lets's calculate LCM of 179,9156
Given numbers has no common factors except 1. So, there LCM is their product i.e 1638924
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1638924
Therefore, the GCF of Fractions 2548/179,4761/9156 is 1/1638924
Least Common Multiple of 179,9156 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 179,9156 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(179,9156) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(179,9156) x common factors =1 x 1 = 1
LCM(179,9156) = ( 179 × 9156 ) / 1
LCM(179,9156) = 1638924 / 1
LCM(179,9156) = 1638924
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FAQs on GCF of Fractions of 2548/179, 4761/9156
1. What is the HCF of 2548,4761?
The HCF of 2548,4761 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 2548/179, 4761/9156?
Answer: GCF of Numerators as per given numbers 2548/179, 4761/9156 is
GCF of Numerators i.e. for 2548,4761 is 1
LCM of denominators i.e. for 179,9156 is 1638924.
Thus, GCF of Fractions is 1/1638924.Finally, GCF of Fractions for 2548/179, 4761/9156 is 1/1638924.