GCF of 1927/258, 2538/4682
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 1927/258, 2538/4682 i.e 47/603978 easily. The following is the detailed procedure to determine the greatest common factor of fractions 1927/258, 2538/4682.
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 1927/258,2538/4682?
Given fractions are 1927/258,2538/4682
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 1927/258,2538/4682, numerators are 1927,2538
Denominators are 258,4682
The GCF of 1927,2538 is 47 .
LCM of 258,4682 is 603978.
The greatest common factor of 1927/258,2538/4682 = [GCF of 1927,2538]/[LCM of 258,4682]= 47/603978
Therefore, the GCF of 1927/258,2538/4682 is 47/603978.
To find the highest common factor of 1927,2538, we have to find the factors of both numbers and list the highest common factor.
The factors of 1927 are 1, 41, 47, 1927
The factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538
The HCF of 1927,2538 is 47.
Lets's calculate GCF of 1927,2538
| 47 | 1927, 2538 |
| 41, 54 |
∴ So the GCF of the given numbers is 47 = 47
Greatest Common Factor of 1927,2538 By Matching Biggest Common Factor Method
Now, list down the factors of 1927
:1,41,47,1927
Now, list down the factors of 2538
:1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Greatest Common Factor
We found the factors 1927,2538 . The biggest common factor number is the GCF number.
So the greatest common factor 1927,2538 is 47.
Lets's calculate LCM of 258,4682
| 2 | 258, 4682 |
| 129, 2341 |
∴ So the LCM of the given numbers is 2 x 129 x 2341 = 603978
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 47/603978
Therefore, the GCF of Fractions 1927/258,2538/4682 is 47/603978
Least Common Multiple of 258,4682 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 258,4682 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(258,4682) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(258,4682) x common factors =2 x 1 = 2
LCM(258,4682) = ( 258 × 4682 ) / 2
LCM(258,4682) = 1207956 / 2
LCM(258,4682) = 603978
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FAQs on GCF of Fractions of 1927/258, 2538/4682
1. What is the HCF of 1927,2538?
The HCF of 1927,2538 is 47
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 1927/258, 2538/4682?
Answer: GCF of Numerators as per given numbers 1927/258, 2538/4682 is
GCF of Numerators i.e. for 1927,2538 is 47
LCM of denominators i.e. for 258,4682 is 603978.
Thus, GCF of Fractions is 47/603978.Finally, GCF of Fractions for 1927/258, 2538/4682 is 47/603978.