GCF of 4901/632, 5140/5761
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4901/632, 5140/5761 i.e 1/3640952 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4901/632, 5140/5761.
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 4901/632,5140/5761?
Given fractions are 4901/632,5140/5761
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 4901/632,5140/5761, numerators are 4901,5140
Denominators are 632,5761
The GCF of 4901,5140 is 1 .
LCM of 632,5761 is 3640952.
The greatest common factor of 4901/632,5140/5761 = [GCF of 4901,5140]/[LCM of 632,5761]= 1/3640952
Therefore, the GCF of 4901/632,5140/5761 is 1/3640952.
To find the highest common factor of 4901,5140, we have to find the factors of both numbers and list the highest common factor.
The factors of 4901 are 1, 13, 29, 169, 377, 4901
The factors of 5140 are 1, 2, 4, 5, 10, 20, 257, 514, 1028, 1285, 2570, 5140
The HCF of 4901,5140 is 1.
Lets's calculate GCF of 4901,5140
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 4901,5140 By Matching Biggest Common Factor Method
Now, list down the factors of 4901
:1,13,29,169,377,4901
Now, list down the factors of 5140
:1,2,4,5,10,20,257,514,1028,1285,2570,5140
Greatest Common Factor
We found the factors 4901,5140 . The biggest common factor number is the GCF number.
So the greatest common factor 4901,5140 is 1.
Lets's calculate LCM of 632,5761
Given numbers has no common factors except 1. So, there LCM is their product i.e 3640952
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/3640952
Therefore, the GCF of Fractions 4901/632,5140/5761 is 1/3640952
Least Common Multiple of 632,5761 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 632,5761 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(632,5761) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(632,5761) x common factors =1 x 1 = 1
LCM(632,5761) = ( 632 × 5761 ) / 1
LCM(632,5761) = 3640952 / 1
LCM(632,5761) = 3640952
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FAQs on GCF of Fractions of 4901/632, 5140/5761
1. What is the HCF of 4901,5140?
The HCF of 4901,5140 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 4901/632, 5140/5761?
Answer: GCF of Numerators as per given numbers 4901/632, 5140/5761 is
GCF of Numerators i.e. for 4901,5140 is 1
LCM of denominators i.e. for 632,5761 is 3640952.
Thus, GCF of Fractions is 1/3640952.Finally, GCF of Fractions for 4901/632, 5140/5761 is 1/3640952.