GCF of 3884/119, 5942/6167
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3884/119, 5942/6167 i.e 2/104839 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3884/119, 5942/6167.
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 3884/119,5942/6167?
Given fractions are 3884/119,5942/6167
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 3884/119,5942/6167, numerators are 3884,5942
Denominators are 119,6167
The GCF of 3884,5942 is 2 .
LCM of 119,6167 is 104839.
The greatest common factor of 3884/119,5942/6167 = [GCF of 3884,5942]/[LCM of 119,6167]= 2/104839
Therefore, the GCF of 3884/119,5942/6167 is 2/104839.
To find the highest common factor of 3884,5942, we have to find the factors of both numbers and list the highest common factor.
The factors of 3884 are 1, 2, 4, 971, 1942, 3884
The factors of 5942 are 1, 2, 2971, 5942
The HCF of 3884,5942 is 2.
Lets's calculate GCF of 3884,5942
| 2 | 3884, 5942 |
| 1942, 2971 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3884,5942 By Matching Biggest Common Factor Method
Now, list down the factors of 3884
:1,2,4,971,1942,3884
Now, list down the factors of 5942
:1,2,2971,5942
Greatest Common Factor
We found the factors 3884,5942 . The biggest common factor number is the GCF number.
So the greatest common factor 3884,5942 is 2.
Lets's calculate LCM of 119,6167
| 7 | 119, 6167 |
| 17, 881 |
∴ So the LCM of the given numbers is 7 x 17 x 881 = 104839
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/104839
Therefore, the GCF of Fractions 3884/119,5942/6167 is 2/104839
Least Common Multiple of 119,6167 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 119,6167 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(119,6167) = 7
common factors(in case of two or more numbers have common factors) = 1
GCF(119,6167) x common factors =7 x 1 = 7
LCM(119,6167) = ( 119 × 6167 ) / 7
LCM(119,6167) = 733873 / 7
LCM(119,6167) = 104839
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FAQs on GCF of Fractions of 3884/119, 5942/6167
1. What is the HCF of 3884,5942?
The HCF of 3884,5942 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 3884/119, 5942/6167?
Answer: GCF of Numerators as per given numbers 3884/119, 5942/6167 is
GCF of Numerators i.e. for 3884,5942 is 2
LCM of denominators i.e. for 119,6167 is 104839.
Thus, GCF of Fractions is 2/104839.Finally, GCF of Fractions for 3884/119, 5942/6167 is 2/104839.