GCF of 4683/190, 3871/2912
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 4683/190, 3871/2912 i.e 7/276640 easily. The following is the detailed procedure to determine the greatest common factor of fractions 4683/190, 3871/2912.
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 4683/190,3871/2912?
Given fractions are 4683/190,3871/2912
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 4683/190,3871/2912, numerators are 4683,3871
Denominators are 190,2912
The GCF of 4683,3871 is 7 .
LCM of 190,2912 is 276640.
The greatest common factor of 4683/190,3871/2912 = [GCF of 4683,3871]/[LCM of 190,2912]= 7/276640
Therefore, the GCF of 4683/190,3871/2912 is 7/276640.
To find the highest common factor of 4683,3871, we have to find the factors of both numbers and list the highest common factor.
The factors of 4683 are 1, 3, 7, 21, 223, 669, 1561, 4683
The factors of 3871 are 1, 7, 49, 79, 553, 3871
The HCF of 4683,3871 is 7.
Lets's calculate GCF of 4683,3871
| 7 | 4683, 3871 |
| 669, 553 |
∴ So the GCF of the given numbers is 7 = 7
Greatest Common Factor of 4683,3871 By Matching Biggest Common Factor Method
Now, list down the factors of 4683
:1,3,7,21,223,669,1561,4683
Now, list down the factors of 3871
:1,7,49,79,553,3871
Greatest Common Factor
We found the factors 4683,3871 . The biggest common factor number is the GCF number.
So the greatest common factor 4683,3871 is 7.
Lets's calculate LCM of 190,2912
| 2 | 190, 2912 |
| 95, 1456 |
∴ So the LCM of the given numbers is 2 x 95 x 1456 = 276640
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 7/276640
Therefore, the GCF of Fractions 4683/190,3871/2912 is 7/276640
Least Common Multiple of 190,2912 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 190,2912 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(190,2912) = 2
common factors(in case of two or more numbers have common factors) = 1
GCF(190,2912) x common factors =2 x 1 = 2
LCM(190,2912) = ( 190 × 2912 ) / 2
LCM(190,2912) = 553280 / 2
LCM(190,2912) = 276640
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FAQs on GCF of Fractions of 4683/190, 3871/2912
1. What is the HCF of 4683,3871?
The HCF of 4683,3871 is 7
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 4683/190, 3871/2912?
Answer: GCF of Numerators as per given numbers 4683/190, 3871/2912 is
GCF of Numerators i.e. for 4683,3871 is 7
LCM of denominators i.e. for 190,2912 is 276640.
Thus, GCF of Fractions is 7/276640.Finally, GCF of Fractions for 4683/190, 3871/2912 is 7/276640.