GCF of 5444/362, 9279/8078
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 5444/362, 9279/8078 i.e 1/1462118 easily. The following is the detailed procedure to determine the greatest common factor of fractions 5444/362, 9279/8078.
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 5444/362,9279/8078?
Given fractions are 5444/362,9279/8078
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 5444/362,9279/8078, numerators are 5444,9279
Denominators are 362,8078
The GCF of 5444,9279 is 1 .
LCM of 362,8078 is 1462118.
The greatest common factor of 5444/362,9279/8078 = [GCF of 5444,9279]/[LCM of 362,8078]= 1/1462118
Therefore, the GCF of 5444/362,9279/8078 is 1/1462118.
To find the highest common factor of 5444,9279, we have to find the factors of both numbers and list the highest common factor.
The factors of 5444 are 1, 2, 4, 1361, 2722, 5444
The factors of 9279 are 1, 3, 9, 1031, 3093, 9279
The HCF of 5444,9279 is 1.
Lets's calculate GCF of 5444,9279
∴ So GCF of numbers is 1 because of no common factors present between them.
Greatest Common Factor of 5444,9279 By Matching Biggest Common Factor Method
Now, list down the factors of 5444
:1,2,4,1361,2722,5444
Now, list down the factors of 9279
:1,3,9,1031,3093,9279
Greatest Common Factor
We found the factors 5444,9279 . The biggest common factor number is the GCF number.
So the greatest common factor 5444,9279 is 1.
Lets's calculate LCM of 362,8078
| 2 | 362, 8078 |
| 181, 4039 |
∴ So the LCM of the given numbers is 2 x 181 x 4039 = 1462118
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/1462118
Therefore, the GCF of Fractions 5444/362,9279/8078 is 1/1462118
Least Common Multiple of 362,8078 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 362,8078 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(362,8078) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(362,8078) x common factors =2 x 1 = 2
LCM(362,8078) = ( 362 × 8078 ) / 2
LCM(362,8078) = 2924236 / 2
LCM(362,8078) = 1462118
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FAQs on GCF of Fractions of 5444/362, 9279/8078
1. What is the HCF of 5444,9279?
The HCF of 5444,9279 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 5444/362, 9279/8078?
Answer: GCF of Numerators as per given numbers 5444/362, 9279/8078 is
GCF of Numerators i.e. for 5444,9279 is 1
LCM of denominators i.e. for 362,8078 is 1462118.
Thus, GCF of Fractions is 1/1462118.Finally, GCF of Fractions for 5444/362, 9279/8078 is 1/1462118.