GCF of 8949/228, 7131/798
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 8949/228, 7131/798 i.e 3/1596 easily. The following is the detailed procedure to determine the greatest common factor of fractions 8949/228, 7131/798.
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 8949/228,7131/798?
Given fractions are 8949/228,7131/798
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 8949/228,7131/798, numerators are 8949,7131
Denominators are 228,798
The GCF of 8949,7131 is 3 .
LCM of 228,798 is 1596.
The greatest common factor of 8949/228,7131/798 = [GCF of 8949,7131]/[LCM of 228,798]= 3/1596
Therefore, the GCF of 8949/228,7131/798 is 3/1596.
To find the highest common factor of 8949,7131, we have to find the factors of both numbers and list the highest common factor.
The factors of 8949 are 1, 3, 19, 57, 157, 471, 2983, 8949
The factors of 7131 are 1, 3, 2377, 7131
The HCF of 8949,7131 is 3.
Lets's calculate GCF of 8949,7131
| 3 | 8949, 7131 |
| 2983, 2377 |
∴ So the GCF of the given numbers is 3 = 3
Greatest Common Factor of 8949,7131 By Matching Biggest Common Factor Method
Now, list down the factors of 8949
:1,3,19,57,157,471,2983,8949
Now, list down the factors of 7131
:1,3,2377,7131
Greatest Common Factor
We found the factors 8949,7131 . The biggest common factor number is the GCF number.
So the greatest common factor 8949,7131 is 3.
Lets's calculate LCM of 228,798
| 2 | 228, 798 |
| 3 | 114, 399 |
| 19 | 38, 133 |
| 2, 7 |
∴ So the LCM of the given numbers is 2 x 3 x 19 x 2 x 7 = 1596
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 3/1596
Therefore, the GCF of Fractions 8949/228,7131/798 is 3/1596
Least Common Multiple of 228,798 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 228,798 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(228,798) = 114
common factors(in case of two or more numbers have common factors) = 1
GCF(228,798) x common factors =114 x 1 = 114
LCM(228,798) = ( 228 × 798 ) / 114
LCM(228,798) = 181944 / 114
LCM(228,798) = 1596
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FAQs on GCF of Fractions of 8949/228, 7131/798
1. What is the HCF of 8949,7131?
The HCF of 8949,7131 is 3
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 8949/228, 7131/798?
Answer: GCF of Numerators as per given numbers 8949/228, 7131/798 is
GCF of Numerators i.e. for 8949,7131 is 3
LCM of denominators i.e. for 228,798 is 1596.
Thus, GCF of Fractions is 3/1596.Finally, GCF of Fractions for 8949/228, 7131/798 is 3/1596.