GCF of 2489/231, 4980/7931
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2489/231, 4980/7931 i.e 1/23793 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2489/231, 4980/7931.
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 2489/231,4980/7931?
Given fractions are 2489/231,4980/7931
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 2489/231,4980/7931, numerators are 2489,4980
Denominators are 231,7931
The GCF of 2489,4980 is 1 .
LCM of 231,7931 is 23793.
The greatest common factor of 2489/231,4980/7931 = [GCF of 2489,4980]/[LCM of 231,7931]= 1/23793
Therefore, the GCF of 2489/231,4980/7931 is 1/23793.
To find the highest common factor of 2489,4980, we have to find the factors of both numbers and list the highest common factor.
The factors of 2489 are 1, 19, 131, 2489
The factors of 4980 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 83, 166, 249, 332, 415, 498, 830, 996, 1245, 1660, 2490, 4980
The HCF of 2489,4980 is 1.
Lets's calculate GCF of 2489,4980
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 2489,4980 By Matching Biggest Common Factor Method
Now, list down the factors of 2489
:1,19,131,2489
Now, list down the factors of 4980
:1,2,3,4,5,6,10,12,15,20,30,60,83,166,249,332,415,498,830,996,1245,1660,2490,4980
Greatest Common Factor
We found the factors 2489,4980 . The biggest common factor number is the GCF number.
So the greatest common factor 2489,4980 is 1.
Lets's calculate LCM of 231,7931
| 7 | 231, 7931 |
| 11 | 33, 1133 |
| 3, 103 |
∴ So the LCM of the given numbers is 7 x 11 x 3 x 103 = 23793
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/23793
Therefore, the GCF of Fractions 2489/231,4980/7931 is 1/23793
Least Common Multiple of 231,7931 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 231,7931 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(231,7931) = 77
common factors(in case of two or more numbers have common factors) = 1
GCF(231,7931) x common factors =77 x 1 = 77
LCM(231,7931) = ( 231 × 7931 ) / 77
LCM(231,7931) = 1832061 / 77
LCM(231,7931) = 23793
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FAQs on GCF of Fractions of 2489/231, 4980/7931
1. What is the HCF of 2489,4980?
The HCF of 2489,4980 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 2489/231, 4980/7931?
Answer: GCF of Numerators as per given numbers 2489/231, 4980/7931 is
GCF of Numerators i.e. for 2489,4980 is 1
LCM of denominators i.e. for 231,7931 is 23793.
Thus, GCF of Fractions is 1/23793.Finally, GCF of Fractions for 2489/231, 4980/7931 is 1/23793.