GCF of 3806/913, 5180/188
Reviewed By : Phani Ponnapalli
Last Updated at : Mar 29,2023
Use our free GCF of Fractions Calculator tool to compute the GCF of 3806/913, 5180/188 i.e 2/171644 easily. The following is the detailed procedure to determine the greatest common factor of fractions 3806/913, 5180/188.
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 3806/913,5180/188?
Given fractions are 3806/913,5180/188
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 3806/913,5180/188, numerators are 3806,5180
Denominators are 913,188
The GCF of 3806,5180 is 2 .
LCM of 913,188 is 171644.
The greatest common factor of 3806/913,5180/188 = [GCF of 3806,5180]/[LCM of 913,188]= 2/171644
Therefore, the GCF of 3806/913,5180/188 is 2/171644.
To find the highest common factor of 3806,5180, we have to find the factors of both numbers and list the highest common factor.
The factors of 3806 are 1, 2, 11, 22, 173, 346, 1903, 3806
The factors of 5180 are 1, 2, 4, 5, 7, 10, 14, 20, 28, 35, 37, 70, 74, 140, 148, 185, 259, 370, 518, 740, 1036, 1295, 2590, 5180
The HCF of 3806,5180 is 2.
Lets's calculate GCF of 3806,5180
| 2 | 3806, 5180 |
| 1903, 2590 |
∴ So the GCF of the given numbers is 2 = 2
Greatest Common Factor of 3806,5180 By Matching Biggest Common Factor Method
Now, list down the factors of 3806
:1,2,11,22,173,346,1903,3806
Now, list down the factors of 5180
:1,2,4,5,7,10,14,20,28,35,37,70,74,140,148,185,259,370,518,740,1036,1295,2590,5180
Greatest Common Factor
We found the factors 3806,5180 . The biggest common factor number is the GCF number.
So the greatest common factor 3806,5180 is 2.
Lets's calculate LCM of 913,188
Given numbers has no common factors except 1. So, there LCM is their product i.e 171644
Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 2/171644
Therefore, the GCF of Fractions 3806/913,5180/188 is 2/171644
Least Common Multiple of 913,188 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 913,188 and common factors if more than two numbers have common factor, than apply into the LCM equation.
GCF(913,188) = 1
common factors(in case of two or more numbers have common factors) = 1
GCF(913,188) x common factors =1 x 1 = 1
LCM(913,188) = ( 913 × 188 ) / 1
LCM(913,188) = 171644 / 1
LCM(913,188) = 171644
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FAQs on GCF of Fractions of 3806/913, 5180/188
1. What is the HCF of 3806,5180?
The HCF of 3806,5180 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 3806/913, 5180/188?
Answer: GCF of Numerators as per given numbers 3806/913, 5180/188 is
GCF of Numerators i.e. for 3806,5180 is 2
LCM of denominators i.e. for 913,188 is 171644.
Thus, GCF of Fractions is 2/171644.Finally, GCF of Fractions for 3806/913, 5180/188 is 2/171644.