GCF of 4094/972, 4198/584
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4094/972, 4198/584 i.e 2/141912 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4094/972, 4198/584.
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 4094/972,4198/584?
Given fractions are 4094/972,4198/584
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 4094/972,4198/584, numerators are 4094,4198
Denominators are 972,584
The GCF of 4094,4198 is 2 .
LCM of 972,584 is 141912.
The greatest common factor of 4094/972,4198/584 = [GCF of 4094,4198]/[LCM of 972,584]= 2/141912
Therefore, the GCF of 4094/972,4198/584 is 2/141912.
To find the highest common factor of 4094,4198, we have to find the factors of both numbers and list the highest common factor.
The factors of 4094 are 1, 2, 23, 46, 89, 178, 2047, 4094
The factors of 4198 are 1, 2, 2099, 4198
The HCF of 4094,4198 is 2.
Lets's calculate GCF of 4094,4198
| 2 | 4094, 4198 |
| 2047, 2099 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 4094,4198 By Matching Biggest Common Factor Method
Now, list down the factors of 4094
:1,2,23,46,89,178,2047,4094
Now, list down the factors of 4198
:1,2,2099,4198
Greatest Common Factor
We found the factors 4094,4198 . The biggest common factor number is the GCF number.
So the greatest common factor 4094,4198 is 2.
Lets's calculate LCM of 972,584
| 2 | 972, 584 |
| 2 | 486, 292 |
| 243, 146 |
∴ So the LCM of the given numbers is 2 x 2 x 243 x 146 = 141912
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/141912
Therefore, the GCF of Fractions 4094/972,4198/584 is 2/141912
Least Common Multiple of 972,584 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 972,584 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(972,584) = 4
common factors(in case of two or more numbers have common factors) = 1
GCF(972,584) x common factors =4 x 1 = 4
LCM(972,584) = ( 972 × 584 ) / 4
LCM(972,584) = 567648 / 4
LCM(972,584) = 141912
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FAQs on GCF of Fractions of 4094/972, 4198/584
1. What is the HCF of 4094,4198?
The HCF of 4094,4198 is 2
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 4094/972, 4198/584?
Answer: GCF of Numerators as per given numbers 4094/972, 4198/584 is
GCF of Numerators i.e. for 4094,4198 is 2
LCM of denominators i.e. for 972,584 is 141912.
Thus, GCF of Fractions is 2/141912.Finally, GCF of Fractions for 4094/972, 4198/584 is 2/141912.