GCF of 5381/351, 8228/9312
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5381/351, 8228/9312 i.e 1/1089504 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5381/351, 8228/9312.
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 5381/351,8228/9312?
Given fractions are 5381/351,8228/9312
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 5381/351,8228/9312, numerators are 5381,8228
Denominators are 351,9312
The GCF of 5381,8228 is 1 .
LCM of 351,9312 is 1089504.
The greatest common factor of 5381/351,8228/9312 = [GCF of 5381,8228]/[LCM of 351,9312]= 1/1089504
Therefore, the GCF of 5381/351,8228/9312 is 1/1089504.
To find the highest common factor of 5381,8228, we have to find the factors of both numbers and list the highest common factor.
The factors of 5381 are 1, 5381
The factors of 8228 are 1, 2, 4, 11, 17, 22, 34, 44, 68, 121, 187, 242, 374, 484, 748, 2057, 4114, 8228
The HCF of 5381,8228 is 1.
Lets's calculate GCF of 5381,8228
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5381,8228 By Matching Biggest Common Factor Method
Now, list down the factors of 5381
:1,5381
Now, list down the factors of 8228
:1,2,4,11,17,22,34,44,68,121,187,242,374,484,748,2057,4114,8228
Greatest Common Factor
We found the factors 5381,8228 . The biggest common factor number is the GCF number.
So the greatest common factor 5381,8228 is 1.
Lets's calculate LCM of 351,9312
| 3 | 351, 9312 |
| 117, 3104 |
∴ So the LCM of the given numbers is 3 x 117 x 3104 = 1089504
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1089504
Therefore, the GCF of Fractions 5381/351,8228/9312 is 1/1089504
Least Common Multiple of 351,9312 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 351,9312 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(351,9312) = 3
common factors(in case of two or more numbers have common factors) = 1
GCF(351,9312) x common factors =3 x 1 = 3
LCM(351,9312) = ( 351 × 9312 ) / 3
LCM(351,9312) = 3268512 / 3
LCM(351,9312) = 1089504
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FAQs on GCF of Fractions of 5381/351, 8228/9312
1. What is the HCF of 5381,8228?
The HCF of 5381,8228 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 5381/351, 8228/9312?
Answer: GCF of Numerators as per given numbers 5381/351, 8228/9312 is
GCF of Numerators i.e. for 5381,8228 is 1
LCM of denominators i.e. for 351,9312 is 1089504.
Thus, GCF of Fractions is 1/1089504.Finally, GCF of Fractions for 5381/351, 8228/9312 is 1/1089504.