GCF of 2538/143, 6876/1807
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 2538/143, 6876/1807 i.e 18/19877 easily. The following is the detailed procedure to determine the greatest common factor of fractions 2538/143, 6876/1807.
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 2538/143,6876/1807?
Given fractions are 2538/143,6876/1807
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 2538/143,6876/1807, numerators are 2538,6876
Denominators are 143,1807
The GCF of 2538,6876 is 18 .
LCM of 143,1807 is 19877.
The greatest common factor of 2538/143,6876/1807 = [GCF of 2538,6876]/[LCM of 143,1807]= 18/19877
Therefore, the GCF of 2538/143,6876/1807 is 18/19877.
To find the highest common factor of 2538,6876, we have to find the factors of both numbers and list the highest common factor.
The factors of 2538 are 1, 2, 3, 6, 9, 18, 27, 47, 54, 94, 141, 282, 423, 846, 1269, 2538
The factors of 6876 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 191, 382, 573, 764, 1146, 1719, 2292, 3438, 6876
The HCF of 2538,6876 is 18.
Lets's calculate GCF of 2538,6876
| 2 | 2538, 6876 |
| 3 | 1269, 3438 |
| 3 | 423, 1146 |
| 141, 382 |
∴ So the GCF of the given numbers is 2 x 3 x 3 = 18
Greatest Common Factor of 2538,6876 By Matching Biggest Common Factor Method
Now, list down the factors of 2538
:1,2,3,6,9,18,27,47,54,94,141,282,423,846,1269,2538
Now, list down the factors of 6876
:1,2,3,4,6,9,12,18,36,191,382,573,764,1146,1719,2292,3438,6876
Greatest Common Factor
We found the factors 2538,6876 . The biggest common factor number is the GCF number.
So the greatest common factor 2538,6876 is 18.
Lets's calculate LCM of 143,1807
| 13 | 143, 1807 |
| 11, 139 |
∴ So the LCM of the given numbers is 13 x 11 x 139 = 19877
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 18/19877
Therefore, the GCF of Fractions 2538/143,6876/1807 is 18/19877
Least Common Multiple of 143,1807 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 143,1807 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(143,1807) = 13
common factors(in case of two or more numbers have common factors) = 1
GCF(143,1807) x common factors =13 x 1 = 13
LCM(143,1807) = ( 143 × 1807 ) / 13
LCM(143,1807) = 258401 / 13
LCM(143,1807) = 19877
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FAQs on GCF of Fractions of 2538/143, 6876/1807
1. What is the HCF of 2538,6876?
The HCF of 2538,6876 is 18
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 2538/143, 6876/1807?
Answer: GCF of Numerators as per given numbers 2538/143, 6876/1807 is
GCF of Numerators i.e. for 2538,6876 is 18
LCM of denominators i.e. for 143,1807 is 19877.
Thus, GCF of Fractions is 18/19877.Finally, GCF of Fractions for 2538/143, 6876/1807 is 18/19877.