GCF of 5802/213, 7446/375
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5802/213, 7446/375 i.e 6/26625 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5802/213, 7446/375.
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 5802/213,7446/375?
Given fractions are 5802/213,7446/375
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 5802/213,7446/375, numerators are 5802,7446
Denominators are 213,375
The GCF of 5802,7446 is 6 .
LCM of 213,375 is 26625.
The greatest common factor of 5802/213,7446/375 = [GCF of 5802,7446]/[LCM of 213,375]= 6/26625
Therefore, the GCF of 5802/213,7446/375 is 6/26625.
To find the highest common factor of 5802,7446, we have to find the factors of both numbers and list the highest common factor.
The factors of 5802 are 1, 2, 3, 6, 967, 1934, 2901, 5802
The factors of 7446 are 1, 2, 3, 6, 17, 34, 51, 73, 102, 146, 219, 438, 1241, 2482, 3723, 7446
The HCF of 5802,7446 is 6.
Lets's calculate GCF of 5802,7446
| 2 | 5802, 7446 |
| 3 | 2901, 3723 |
| 967, 1241 |
∴ So the GCF of the given numbers is 2 x 3 = 6
Greatest Common Factor of 5802,7446 By Matching Biggest Common Factor Method
Now, list down the factors of 5802
:1,2,3,6,967,1934,2901,5802
Now, list down the factors of 7446
:1,2,3,6,17,34,51,73,102,146,219,438,1241,2482,3723,7446
Greatest Common Factor
We found the factors 5802,7446 . The biggest common factor number is the GCF number.
So the greatest common factor 5802,7446 is 6.
Lets's calculate LCM of 213,375
| 3 | 213, 375 |
| 71, 125 |
∴ So the LCM of the given numbers is 3 x 71 x 125 = 26625
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 6/26625
Therefore, the GCF of Fractions 5802/213,7446/375 is 6/26625
Least Common Multiple of 213,375 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 213,375 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(213,375) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(213,375) x common factors =3 x 1 = 3
LCM(213,375) = ( 213 × 375 ) / 3
LCM(213,375) = 79875 / 3
LCM(213,375) = 26625
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FAQs on GCF of Fractions of 5802/213, 7446/375
1. What is the HCF of 5802,7446?
The HCF of 5802,7446 is 6
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 5802/213, 7446/375?
Answer: GCF of Numerators as per given numbers 5802/213, 7446/375 is
GCF of Numerators i.e. for 5802,7446 is 6
LCM of denominators i.e. for 213,375 is 26625.
Thus, GCF of Fractions is 6/26625.Finally, GCF of Fractions for 5802/213, 7446/375 is 6/26625.